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    ME3101 Management of Production Systems

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    MANAGEMENT OFPRODUCTION SYSTEMS

    (ME 3101)

    Course Note

    Prepared by: Dr. Vinay V. Panicker

    Assistant Professor,

    Department of Mechanical Engineering

    National Institute of Technology CalicutCalicut673 601, Kerala, India

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    MODULE 1

    1. INTRODUCTION

    The systems aspects of manufacturing are more important than ever today. The word manufacturing

    was originally derived from two Latin words manus (hand) and factus(make), so that thecombination means make by hand.

    In this way manufacturing was accomplished when the word first appeared in English around

    1567. Commercial goods of those times were made by hand. The methods were handicraft,

    accomplished in small shops and the goods were relatively simple. As many years passed, the

    products become more complex along with processes. Thus factories were developed with many

    workers at a single site; the work was organized using machines

    Modern manufacturing enterprises that manage these production systems must cope with the

    economic realities of the modern world. These realities include the following:

    Globalization

    International outsourcing

    Local outsourcing

    Contract manufacturing

    Trend toward the service sector

    Quality expectations

    Operational efficiency

    1.1. System: It consists of elements or components. The elements or components are interlinked

    together to achieve the objective for which it exists. Eg: human body, educational

    institutions, business organizations.

    Figure 1.1 Transformation process

    Components of a system: The input, processing, output and control of a system are called

    the components of a system.

    Control: There are two types of control, namely Proactive Control and Reactive Control.

    There are three types of feedback mechanisms such as feed forward control, feedback control

    and concurrent control

    TransformationProcess

    Inputs Men Material Machine Money Information

    Outputs Desirable Undesirable

    Feedback

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    2. What is Production management?

    In any manufacturing system, the job of a Production Manager is to manage the process of converting

    inputs into the desired outputs.

    It is concerned with the production of goods and services, and involves the responsibility ofensuring that business operations are efficient and effective.

    It is also the management of resources, the distribution of goods and services to customers.

    Therefore, Production Management can be defined as the management of the conversion process,

    which converts land, labor, capital, and management inputs into desired outputs of goods and

    services. It is also concerned with the design and the operation of systems for manufacture, transport,

    supply or service.

    3. Difference between Operations and Production

    In the transformation process, the inputs change the form into an output, by adding value to the entity.

    The output may be a product or service.

    If it is a product centric that is known as production,

    If it is a service centric then that is known as operation.

    4. Production System

    A production system is a collection of people, equipment, and procedures organized to perform the

    manufacturing operations of a company (or other organization)

    4.1.Components of a production system:

    There are two components for a production system such as:

    1. Facilities the factory and equipment in the facility and the way the facility is organized

    (plant layout)

    2. Manufacturing support systems the set of procedures used by a company to manage

    production and to solve technical and logistics problems in ordering materials, moving work

    through the factory, and ensuring that products meet quality standards

    Figure 1.2 Diagrammatic representation for a production system

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    Facilities include the factory, production machines and tooling, material handling equipment,

    inspection equipment, and computer systems that control the manufacturing operations. For the

    facilities, plant layout is a significant factor for the production system to be efficient. The plant layout

    is the way in which the equipment is physically arranged in the factory

    Manufacturing systems include the logical groupings of equipment and workers in the factory. Acombination of a group of workers and machines are termed as Production line. There can be

    instances where there is only one worker and a machine. This arrangement is called as Stand-alone

    workstation and worker. Based on the human participation in the production processes, the

    manufacturing system can be classified as the following three systems:

    Manual work systems- a worker performing one or more tasks without the aid of powered

    tools, but sometimes using hand tools. For example, filing work carried out in the central

    workshop

    Figure 1.3a Diagrammatic representation a manual work system

    Worker-machine systems- a worker operating powered equipment.For example, turning done

    on a work piece using a Lathe.

    Figure 1.3b Diagrammatic representation a worker-machine system

    Automated systems - a process performed by a machine without direct participation of a

    humanFor example, turning done on a work piece using a CNC machine.

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    Figure 1.3c Diagrammatic representation an automated system

    Manufacturing support systems: To operate the production facilities efficiently, a company must

    organize itself to design the processes and equipment, plan and control the orders and satisfy product

    quality requirements. The support systems have no direct contact with the product, but they plan and

    control its progress throughout the factory. The manufacturing support system involves a cycle ofinformation-processing activities that consists of four functions. The four functions are depicted in

    Figure 1.4.

    Figure 1.4 Information processing cycle

    i. Business functions- sales and marketing, order entry, cost accounting, customer billing

    This function is the principal means of communication with the customer

    This represents the beginning and the end of the information-processing cycle

    It is at this function, the customer comes in contact with the company and places an order

    The production (or customer) order will be (1) order to manufacture an item to customers

    specifications (2) customer order to buy one or more of the manufactures product and (3)an internal company order based on a forecast of future demand.

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    ii. Product design- research and development, design engineering, prototype shop

    The role of the product design team depends on the production order. As mentioned above,

    the production order may change.

    iii. Manufacturing planning- process planning, production planning, MRP, capacity planning

    Process planning is the sequence of individual processing and assembly operations needed

    to produce the part.

    Production planning considers the logistics issues in the production process

    The authorization to produce the product must be translated into the Master Production

    Schedule (MPS)

    MPS is a list of products to be made, the dates on which they are to be delivered, and the

    quantities of each are included

    Based on the MPS, individual components and the sub-assemblies that make up each

    product must be planned.

    MPS must not list more quantities of products than the factory capacity for a period.

    Capacity planning plans the manpower and machine resources of the firm.

    iv. Manufacturing control- shop floor control, inventory control, quality control

    Managing and controlling physical operations in the factory to implement plans.

    Shop floor control monitors the progress of the product as it is being processed, assembled,

    moved and inspected in the factory

    o Materials being processed in the factory are called as Work-in-process (WIP)

    inventory.

    o Both shop floor control and inventory control overlap each other.

    Inventory control tries to strike a balance between the risk of too little inventory

    (stock-out situation) and the carrying cost of too much inventory.

    o Right quantity to order and when to re-order a given item

    Quality control ensures the quality of product and its components meet the standards

    specified by the product designer.

    o Raw materials and component parts from outside sources are inspected when

    they are received and final inspection and testing is done to ensure functional

    quality and appearance.

    Exercise: Refer the Textbook Automation, Production systems and Computer Integrated

    Manufacturing by Mikell P. Groover Chapter 2:Exhibit on History of Manufacturing

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    4.2.Aim of production: The aim of a production system is to provide goods and services for

    mankind

    In right quantities

    At the appropriate place

    At the desired time

    With the required quantity

    At a reasonable cost

    4.3. Challenges in manufacturing : The challenges in manufacturing includes

    Changing market conditionsshift from sellers market to buyers market

    Rate of change is faster

    Global competition

    Need to be pro-active

    Increased customer focusthe customers are less loyal.

    4.4. Characteristics features of production system

    Production is an organized activity.

    The system transforms the various inputs into useful outputs.

    Production system does not operate in isolation from the other organizational

    systems.

    There exists a feedback about the activities which is essential to control and

    improve system performance.

    4.5. Classification of production systems

    The production system can be classified on the basis of the following:

    Type of productionJob shop production, Batch production, Mass production

    Low Variety High

    High Uniformity Low

    High Volume per output Low

    Figure 1.5 (a) Type of production system

    Size of the plantLarge size plant (eg. Oil refinery), Medium size plant, Small size plant(eg. Printing press)

    Types of

    productionsystem

    Continuous

    production

    Flow

    production

    Mass

    production

    Intermittent

    production

    Batch

    production

    Job

    production

    Project

    production

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    There are three possible situations

    o A batch is manufactured only once (make-to-order)

    o Batch is repeated at irregular time intervals (make-to-order)

    o Batch is repeated at regular time intervals (make-to-stock)

    Final product is usually standard. The basic design is same.

    Such production of standardized items on a continuous basis is called repetitive

    production.

    Customer may be external or internal. For example, in an automobile plant, the engine

    assembly plant will be an internal customer for gear assembly plant)

    Machines and resources must be of general purpose or semi-automated.

    Skilled workforce is needed to work on product variety.

    Less supervision is need in comparison with job-shop

    Less flexible than job-shop

    Machines are grouped as per their functional capabilities.

    4.8. Mass production

    The demand rate is more than the rate of production.

    Similar product is manufactured and hence, standard method and time standard is to be

    analysed.

    Most of the machines used in mass production are special purpose. The equipment is

    dedicated to the manufacture of a single product type such as light bulbs, medicines etc.

    The system is capital intensive and a long term planning needed before the investment.

    Semi-skilled labour is only needed as the product design is similar mostly.

    This system is a rigid production system.

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    Figure 1.5 (b) Process flexibility Vs. Product variety

    5. Decisions in Production Management

    Production management involves the following major decisions:

    1.Strategic Decisions: are taken at top level management. Examples for strategicdecisions include

    Warehouse location

    Distribution systems

    Building a new plant

    Growth strategy for expansion - Mergers and Acquisitions

    New product planning

    Compensation planning

    Quality assurance planning

    R&D planning

    Adoption of New technology

    Dropping a product from the product mix

    Corporate Social Responsibility (CSR)2.Tactical decisions: are taken at the middle level of management. Few examples of such

    decisions are

    Pricing a product

    Product improvementvalue analysis

    Preventive maintenance policy

    Budget analysis

    Short term forecasting

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    Make or buy analysis

    Plant layout

    Buying equipments

    Project scheduling3.Operational decisions: are taken at the first-line level of management. Few examples of

    such decisions are Design of sampling planinspection of raw materials and products

    Price discount at salesman level

    Production Scheduling

    Maintenance manpower scheduling

    Machine loading

    Order entry

    Inventory control

    6. Forecasting

    The first step of planning is forecasting

    Estimating the future demand for products, services and resources necessary to

    produce these outputs.

    Forecasts are estimates of the timing and the magnitude of occurrence of future

    events.

    6.1.Why forecasting?

    These are the reasons for forecasting

    Dynamic and complex environments forecasting is not required if the

    organisation has complete control over the market forces and knows exactly what

    the sale of its products is going to be in the future. This situation seldom exists.

    Short term fluctuations in production- In production, there will be a short term

    fluctuation in demand. If information is known, organizations can avoid knee-jerk

    reactions to the unfolding reality. The organizations can plan that minimize the

    costs of adjusting production system for short term fluctuations.

    Better materials management Organizations benefit from better materials

    management and ensure better resources availability.

    Workforce scheduling the workforce must be scaled up or down to meet the

    demand fluctuations by re-assignment, overtime, layoffs or hiring. Moreover

    better planning of overtime and idle time can also lead to cost minimization.

    Strategic decisions this includes planning for product line decisions, new

    products, augmenting capacity, building factories and expanding the current level

    of activities.

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    6.2.Forecasting time horizon

    The three categories of forecasting on the basis of time horizon are: short term, medium

    term and long term horizons.

    Criterion Short-term Medium term Long termTypical decision 1-3 months 6-18 months 5-10 years

    Nature of decision Operational Tactical Strategic

    Nature of data Quantitative Quantitative or Qualitative Qualitative

    Degree of uncertainty Low Moderate High

    Key consideration Random

    effects

    Seasonal and cyclical

    effects

    Trends or cycles

    6.3Elements of a good forecast: A properly prepared forecast should fulfill thefollowing requirements:

    The forecast should be timely. Usually, a certain amount of time is needed to

    respond to the information contained in a forecast.

    For example, capacity cannot be expanded overnight, nor can inventory levels

    be changed immediately. Hence, the forecasting horizon must cover the time

    necessary to implement possible changes.

    The forecast should be accurate, and the degree of accuracy should be stated.

    This will enable users to plan for possible errors and will provide a basis for

    comparing alternative forecasts.

    The forecast should be reliable; it should work consistently.

    The forecast should be expressed in meaningful units. Financial planners

    need to know how many INR will be needed, production planners need to

    know how many units of raw materials will be needed, and schedulers need to

    know what machines and man-power will be required. The choice of units

    depends on the user requirement.

    The forecast should be in writing. Although this will not guarantee that all

    concerned are using the same information, it will at least increase the

    likelihood of it. In addition, a written forecast will help in evaluating the

    forecast once actual results are in.

    The forecasting technique should be simple to understand and use. Users

    often lack confidence in forecasts based on sophisticated techniques; they do

    not understand either the circumstances in which the techniques are

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    appropriate or the limitations of the techniques. Misuse of techniques is an

    obvious consequence. Not surprisingly, fairly simple forecasting techniques

    enjoy widespread popularity because users are more comfortable working with

    them.

    The forecast should be cost-effective: The benefits should outweigh the costs.

    6.4Types of forecasting methods: The forecasting methods can be classified as

    Figure 1.6 Forecasting methods

    7. Qualitative forecasting methods

    7.1.Educated guess: uses his or her best judgement based on experience and intuition to

    estimate a sales forecast.

    Used for short-term forecast

    Cost of forecast-inaccuracy is low

    Owner of a small convenience store uses to decide the number of units to be

    stocked for the next to meet the demand.

    7.2.Executive committee consensus (Panel consensus): knowledgeable executives

    from various departments within the organisation form a committee with the

    responsibility of developing a sales forecast.

    Tend to be a compromise forecasts, not reflecting the extremes.

    Forecastingmethods

    Qualitative

    methods

    Quantitative

    methods

    Time seriesmodels

    Casual models

    (associative)

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    It has the advantage of bringing together the considerable knowledge and

    talents of various managers. However, there is the risk that the view of one

    person will prevail, and the possibility that diffusing responsibility for the

    forecast over the entire group may result in less pressure to produce a good

    forecast.

    7.3.Delphi method: used to achieve a consensus within a committee. This method is

    developed by RAND Corporation, 1950.

    Executives anonymously answer a series of questions on successive rounds

    Each response is fed back to all participants on each round and process is

    repeated.

    Four-Six rounds may be required before consensus.

    Result in forecast that most participants have ultimately agreed to in spite of

    their initial disagreement.

    As a forecasting tool, the Delphi method is useful for technological

    forecasting, that is, for assessing changes in technology and their impact on

    an organization.

    Often the goal is to predict when a certain event will occur. For instance, the

    goal of a Delphi forecast might be to predict when video telephones might be

    installed in at least 50 percent of residential homes.

    For the most part, these are long-term, single-time forecasts, which usually

    have very little hard information to go by or data that are costly to obtain, so

    the problem does not lend itself to analytical techniques. Rather, judgments of

    experts or others who possess sufficient knowledge to make predictions are

    used.

    7.4.Survey of sales forces future regional sales are obtained from individual members

    of the sales force.

    Companies have a good communication system and have sales people who

    sell directly to customers.

    There are, however, several drawbacks to using sales-force opinions. One is

    that staff members may be unable to distinguish between what customers

    would like to do and what they actually will do.

    Another is that these people are sometimes overly influenced by recent

    experiences. Thus, after several periods of low sales, their estimates may tend

    to become pessimistic. After several periods of good sales, they may tend to

    be too optimistic.

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    In addition, if forecasts are used to establish sales quotas, there will be a

    conflict of interest because it is to the salespersons advantage to provide low

    sales estimates.

    7.5.Survey of customers: directly from customers.

    What quantity of firms products they intend to purchase in each future time

    period.

    The obvious advantage of consumer surveys is that they can tap information

    that might not be available elsewhere.

    On the other hand, a considerable amount of knowledge and skill is required

    to construct a survey, administer it, and correctly interpret the results for valid

    information. Surveys can be expensive and time-consuming. In addition, even

    under the best conditions, surveys of the general public must contend with thepossibility of irrational behaviour patterns.

    7.6.Historical analogy: this method ties the estimateof sales of a product to a similar

    product.

    Useful in forecasting sales of new product

    7.7.Market research: In market surveys, mail questionnaires, telephone interviews or

    field interviews form the basis for testing hypothesis about real markets.

    For new products or existing products to be introduced into new market

    segment

    8. Quantitative forecasting models

    Are mathematical models based on historical data

    Assume that past data are relevant to the future.

    Can be time series and causal relationships.

    8.1.Time series analysis based on the idea that the history of occurrences over time

    can be used to predict the future.

    Time series methods are statistical techniques that make use of historical data

    accumulated over a period of time.

    Time series methods assume that what has occurred in the past will continue to

    occur in the future.

    As the name time series suggests, these methods relate the forecast to only one

    factortime.

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    These methods assume that identifiable historical patterns or trends for demand

    over time will repeat themselves.

    They include (i) linear regression (ii) simple moving average (iii) weighted

    moving average (iv) exponential smoothing, (v) Box Jenkins model

    Linear regression

    Linear regression is a method of forecasting in which a mathematical relationship

    is developed between demand and some other factor that causes demand

    behaviour.

    However, when demand displays an obvious trend over time, a least squares

    regression line, or linear trend line, that relates demand to time, can be used to

    forecast demand.

    If the data are a time series, the independent variable is the time period.

    A linear trend line relates a dependent variable, which for our purposes is demand

    (or sales), to the independent variable, time, in the form of a linear equation:

    bXaY

    Where, YDependent variable

    XIndependent variable

    a- Intercept in y axis

    b- Slope of the trend

    22

    2

    )( xxn

    xyxyxa

    22)( xxn

    yxxynb

    8.1..1. Coefficient of correlation (r): The coefficient of correlation, r, explains

    the relative importance of the relationship between X and Y.

    The sign of r shows the direction of the relationship.

    The absolute value of r shows the strength of the relationship.

    The sign of r is always the same as the sign of b.

    r can take on any value between1 and +1.

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    Meanings of several values of r:

    -1 a perfect negative relationship

    (as x goes up, y goes down by one unit, and vice versa)

    +1 a perfect positive relationship

    (as x goes up, y goes up by one unit, and vice versa)

    0 no relationship exists between x and y

    +0.3 a weak positive relationship

    -0.9 a strong negative relationship

    Simple moving average: A moving average forecast uses a number of the most

    recent actual data values in generating a forecast. The moving average forecast

    can be computed using the following equation:

    n

    AAAF ntttt

    ...21 (1.1)

    Where,Ft= Forecast for the coming period, t

    n = Number of periods to be averaged

    1tA = Actual occurrence in the past period

    2tA , 3tA ,, ntA = Actual occurrences two periods ago, three periods ago, and

    so on up to n periods ago.

    The disadvantage of the moving average method is that it does not react to

    variations that occur for a reason, such as cycles and seasonal effects.

    Factors that cause changes are generally ignored. It is basically a mechanical

    method, which reflects historical data in a consistent way.

    The advantage of moving average method is that it is easy to use, quick, and

    relatively inexpensive. In general, this method can provide a good forecast for

    the short run, but it should not be used for a long term.

    It is called moving because as new demand data becomes available, the

    oldest data is not used

    By increasing the Averaging Period (AP), the forecast is less responsive to

    fluctuations in demand (low impulse response and high noise dampening)

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    By decreasing the AP, the forecast is more responsive to fluctuations in

    demand (high impulse response and low noise dampening)

    Weighted moving average: A weighted average is similar to a moving average,

    except that it assigns more weight to the most recent values in a time series.

    For instance, the most recent value might be assigned a weight of .40, the next

    most recent value a weight of .30, the next after that a weight of .20, and the next

    after that a weight of .10.

    Note that the weights must sum to 1.00, and that the heaviest weights are

    assigned to the most recent values.

    n

    AWAWAWF ntnttt

    ...2211 (1.2)

    Where W1, W2,, Wn are the weight to be given to the actual occurrence for

    periods t-1, t-2, , t-nrespectively.

    The advantage of a weighted average over a simple moving average is that the

    weighted average is more reflective of the most recent occurrences.

    Choosing weights: However, the choice of weights is somewhat arbitrary and

    generally involves the use of trial and error to find a suitable weighting scheme.

    Experience also helps in deciding the weights.

    As a general rule, the most recent past is the most important indicator of

    what to expect in the future.

    If the most recent periods are weighted too heavily, the forecast might

    overreact to a random fluctuation in demand.

    If they are weighted too lightly, the forecast might underreact to actual

    changes in demand behaviour.

    Exponential smoothing: Exponential smoothing is a sophisticated weighted

    averaging method that is still relatively easy to use and understand. Each new

    forecast is based on the previous forecast plus a percentage of the difference

    between that forecast and the actual value of the series at that point.

    That is:

    forecast)Previous-demand(ActualforecastPrevious=forecastNext

    Where, (Actual demand -Previous forecast) represents the forecast error and is

    a percentage of the error. More concisely,

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    )( 111 tttt FAFF (1.3)

    Where, tF exponentially smoothened forecast for period t

    1tF exponentially smoothened forecast for period t-1

    1tA actual demand during the period t-1

    smoothening coefficient

    Recursively substituting1tF in (2.3)

    )()()1()1(

    )()]()1)[(1(

    )]()[1(

    122

    2

    122

    11

    ttt

    ttt

    ttt

    AAF

    AAF

    AFF

    )())(1(...)()1()1( 1212

    11

    tttt

    t AAAFF (1.4)

    This method is called exponential smoothing because each increment in the past

    is decreased by (1-)

    Choosing the appropriate value of : Constant is between 0 and 1

    If real demand is stable, we would like a small alpha to lessen the effects

    of short term or random changes.

    If real demand is rapidly increasing or decreasing we would like a large

    alpha to try to keep up with the change.

    Figure 1.7 Exponential forecast verses actual demand for units of a product

    showing the forecast lag

    As shown in Figure 1.7, the forecast lags during an increase or decrease, but

    overshoots when a change in direction occurs.

    0

    50

    100

    150

    200

    250

    0 5 10 15

    Actual demand

    alpha 0.5

    alpha 0.3

    alpha 0.1

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    Note that the higher the value of alpha, the more closely the forecast

    follows the actual.

    Trend effects in exponential smoothing

    As we move toward medium-range forecasts, trend becomes more important.

    Incorporating a trend component into exponentially smoothed forecasts is

    called double exponential smoothing.

    The estimate for the average and the estimate for the trend are both smoothed.

    An upward or downward trend in data collected over a sequence of time

    periods causes the exponential forecast to always lag behind (be above or

    below the actual occurrence)

    Exponentially smoothed forecasts can be corrected somewhat by adding in a

    trend adjustment.

    In addition to smoothing constant , the trend equation also uses a smoothing

    constant .

    Trend smoothing constant reduces the impact of the error that occurs

    between the actual and the forecast.

    The equation to compute the forecast including trend is

    )(

    )(

    11

    111

    tttt

    tttt

    ttt

    FITFTT

    FITAFITF

    TFFIT

    (1.5)

    Where, tF is exponentially smoothed forecast for period t

    tT is exponentially smoothed trend for period t

    tFIT is forecast including trend for period t

    1tFIT is forecast including trend for period t-1

    1tA is actual demand for period t-1

    exponential smoothing constant

    trend smoothing constant

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    8.2.Causal relationship tries to understand and the system underlying and surrounding

    the item being forecast. Sales may be affected by advertising, quality and

    competitors.

    8.3.Common types of trends - Analysis of time-series data require the analyst to

    identify the underlying behavior of the series.

    This can often be accomplished by merely plotting the data and visually

    examining the plot.

    One or more patterns might appear: trends, seasonal variations, cycles, or

    variations around an average.

    In addition, there will be random and perhaps irregular variations. These

    behaviors can be described as follows:

    i. Trend refers to a long-term upward or downward movement in the data.

    Population shifts, changing incomes, and cultural changes often account for suchmovements.

    ii. Seasonality refers to a data pattern that repeats itself after a short period of time.

    Fairly regular variations generally related to factors such as the calendar or time of

    day. Restaurants, supermarkets, and theaters experience weekly and even daily

    seasonal variations.

    Figure 1.8 Trend, cyclical and seasonal data plots, with random and irregular

    variations

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    iii. Cycles are data pattern that covers several years before it repeats again. These

    wavelike variations occur for more than one years duration. These are often

    related to a variety of economic, political, and even agricultural conditions.

    iv. Irregular variations are due to unusual circumstances such as severe weather

    conditions, strikes, or a major change in a product or service. They do not reflecttypical behavior, and their inclusion in the series can distort the overall picture.

    Whenever possible, these should be identified and removed from the data.

    v. Random variations or noise is a pattern resulting from random variation or

    unexplained causes. These are residual variations that remain after all other

    behaviors have been accounted for.

    9. Forecast errors

    A forecast is never completely accurate; forecasts will always deviate from the actual

    demand.

    This difference between the forecast and the actual is the forecast error. These errors

    are called residuals.

    Errors can be classified as bias or random.

    Bias error occurs when a consistent mistake is made. Bias error include the

    failure to include the right variables, the use of the wrong relationships

    among variables; employment of wrong trend line.

    Random error can be defined as those that cannot be explained by the

    forecast model.

    Although forecast error is inevitable, the objective of forecasting is that it be as slight

    as possible. A large degree of error may indicate that either the forecasting technique

    is the wrong one or it needs to be adjusted by changing its parameters.

    9.1.Standard error is a measure of how historical data points have been dispersed about

    the trend line

    2

    2

    n

    xybyaySyx (1.6)

    9.2.Mean Squared Error (MSE) is ( yxS )2

    9.3.Mean Absolute Deviation (MAD) is one of the most popular and simplest to use

    measures of forecast error. MAD is an average of the absolute difference between the

    forecast and actual demand, as computed by the following formula:

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    n

    demandforecastdemandActual

    MAD

    n

    i

    ii

    1 (1.7)

    If the MAD is small, the actual data closely follow forecasts of the dependentvariable and the forecasting model is providing actual forecasts.

    9.4.Mean Absolute Percentage Error (MAPE): The mean absolute percent error

    (MAPE) measures the absolute error as a percentage of demand rather than per

    period. As a result, it eliminates the problem of interpreting the measure of accuracy

    relative to the magnitude of the demand and forecast values, as MAD does. The

    mean absolute percent error is computed according to the following formula:

    1001

    n

    demandActual

    demandforecastdemandActual

    MAPE

    n

    i i

    ii

    (1.8)

    9.5.Tracking Signal (TS): A tracking signal indicates if the forecast is consistently

    biased high or low. It is computed by dividing the Running Sum of Forecast Error

    (RSFE or cumulative error) by MAD, according to the formula:

    n

    FD

    FD

    MAD

    RSFETS

    n

    i

    ii

    n

    i

    ii

    1

    1

    )(

    )(

    (1.9)

    Acceptable limits of TS depend on the size of the demand being forecast (high-

    volume or high revenue) item monitored frequently.

    Amount of personnel time available (narrow limits require more time to

    investigate)

    The tracking signal is recomputed each period, with updated, running values ofcumulative error and MAD. The movement of the tracking signal is compared to

    control limits; as long as the tracking signal is within these limits, the forecast is

    in control.

    9.6.Evaluation of Short-range forecasting models: are evaluated on the basis of three

    characteristics:

    i. Impulse response

    ii. Noise-dampening ability

    iii. Accuracy

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    If forecasts have little period-to-period fluctuation, they are said to be noise

    dampening.

    Forecasts that respond quickly to changes in data are said to have a high impulse

    response.

    A forecast system that responds quickly to data changes necessarily picks up a

    great deal of random fluctuation (noise).

    Hence, there is a trade-off between high impulse response and high noise

    dampening.

    Accuracy is the typical criterion for judging the performance of a forecasting

    approach

    Accuracy is how well the forecasted values match the actual values

    10.Manufacturing Planning and Control

    Manufacturing Planning and Control (MPC) system is concerned with planning and

    controlling all aspects of manufacturing, including managing materials, scheduling

    machines and people, and coordinating suppliers and key customers.

    Provides information to effectively manage the flow of material, effectively utilize

    people and equipment, and coordinate supply chain.

    10.1 MPC System:

    The essential task of the MPC system is to manage efficiently the flow of material, to

    manage the utilization of people and equipment, and to respond to customer

    requirements by utilizing the capacity of the suppliers, that of the internal facilities, and

    (in some cases) that of the customers to meet customer demand.

    Important additional activities involve the acquisition of information from customers on

    product needs and providing customers with information on delivery dates and product

    status.

    MPC supports to make intelligent decisions.

    An important point to note is that the MPC system provides the information upon which

    managers make effective decisions. The MPC system does not make decisions nor

    manage the operationsmanagers perform those activities. The MPC system provides

    the support for them to do so wisely.

    10.2 Typical support activities of MPC

    The support activities of the MPC system can be broken roughly into three time

    horizons: long term, medium term, and short term.

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    In the long term, the system is responsible for providing information to make

    decisions on the appropriate amount of capacity (including equipment, buildings,

    suppliers, and so forth) to meet the market demands of the future.

    Moreover, long-term planning is necessary for the firm to provide the appropriate mix

    of human resource capabilities, technology, and geographical locations to meet thefirms future needs.

    In the case of supply chain planning, the long term has to include the same kind of

    capacity planning for the key suppliers. For companies that outsource their

    manufacturing to outside companies, the planning of supplier capacity can be more

    critical than internal capacity planning.

    In the intermediate term, the fundamental issue addressed by the MPC system is

    matching supply and demand in terms of both volume and product mix.

    This means planning for the right quantities of material to arrive at the right time and

    place to support product production and distribution. It also means maintaining

    appropriate levels of raw material, work in process, and finished goods inventories in

    the correct locations to meet market needs.

    Another aspect is providing customers with information on expected delivery times

    and communicating to suppliers the correct quantities and delivery times for the

    material they supply.

    Planning of capacity may require determining employment levels, overtime

    possibilities, subcontracting needs, and support requirements.

    In the short term, detailed scheduling of resources is required to meet production

    requirements. This involves time, people, material, equipment, and facilities.

    As the day-to-day activities continue, the MPC system must track the use of resources

    and execution results to report on material consumption, labour utilization, equipment

    utilization, completion of customer orders, and other important measures of

    manufacturing performance.

    Moreover, as customers change their minds, things go wrong, and other changes

    occur, the MPC system must provide the information to managers, customers, and

    suppliers on what happened, provide problem-solving support, and report on the

    resolution of the problems.

    Throughout this process, communication with customers on production status and

    changes in expectations must be maintained

    10.3 MPC System Framework: MPC System framework is depicted in figure 2.3. The

    figure is divided into three parts or phases.

    The top third, or front end, is the set of activities and systems for overall direction

    setting. This phase establishes the overall company direction for manufacturing

    planning and control.

    Demand management encompasses forecasting customer/end-product demand,

    order entry, order promising, accommodating interplant and intercompanydemand, and spare parts requirements. In essence, demand management

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    coordinates all activities of the business that place demands on manufacturing

    capacity.

    Sales and operations planning balance the sales/marketing plans with available

    production resources. Increasingly, this activity is receiving more management

    attention as the need for coordination is recognized in progressive firms.

    The master production schedule (MPS) is the disaggregated version of the

    sales and operations plan. The MPS must support the sales and operations

    plan.

    Figure 1.9 MPC Framework

    Resource planning determines the capacity necessary to produce the required

    products now and in the future. Resource planning provides the basis for

    matching manufacturing plans and capacity.

    The middle third, or engine, encompasses the set of MPC systems for detailed

    material and capacity planning.

    The master production schedule feeds directly into the detailed material planning

    module. Firms with a limited product range can specify rates of production for

    developing these plans.

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    However, for firms producing a wide variety of products with many parts per product,

    detailed material planning can involve calculating requirements for thousands of parts

    and components, using a formal logic called material requirements planning (MRP).

    MRP determines (explodes) the period-by-period (time phased) plans for all

    component parts and raw materials required to produce all the products in theMPS.

    The bottom third, or back end, depicts MPC execution systems. For example,

    firms producing a large variety of products using thousands of parts often

    group all equipment of a similar type into a single work centre. Their shop

    floor system establishes priorities for all shop orders at each work centre so the

    orders can be properly scheduled.

    Other firms will group mixtures of equipment that produce a similar set of

    parts into work centres called production cells.

    The supplier systems provide detailed information to the company suppliers.

    10.3.1 Functions of MPC/Production Planning and Control (PPC)

    Figure 1.10 PPC Process

    10.4. Dependent demand Vs. Independent demand

    Demand for final products is called as Independent demand.

    Demand for the items that are subassemblies or component parts which are to beused in production of finished goods is called as Dependent demand.

    The Figure 2.5 diagrammatically explains the definition for dependent demandand independent demand.

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    Figure 1.11 Dependent demand Vs. Independent demand

    The difference between dependent demand and independent demand is tabulated in

    Table 2.2.

    Table 1.2 Difference between dependent demand and independent demand

    Attribute Dependent demand Independent demand

    Nature of demand No uncertainty

    Parent-child relationship

    cause dependency

    Considerable uncertainty

    Independent

    Service level 100% a necessity 100% not a feasible

    solution

    Demand occurrence Often lumpy Often continuous

    Estimation of demand By production planning By forecasting

    How much to order Known with certainty Estimate based on pastconsumption

    When to order Can be estimated Cannot be answered

    directly

    10.5. Material Requirements Planning (MRP) is used to determine the quantity and

    timing for the acquisition of dependent items needed to satisfy master schedule

    requirements.

    Managerial objective is to provide the right part at the right time.

    It is a production planning process that starts from the demand for finished

    products and plans step by step the production of subassemblies and parts.

    Computer-based information system (i.e. glorified database) for ordering and

    scheduling of dependent demandinventories

    Basic inputs for MRP are listed below:

    o Product structure or Bill of materials

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    o Master production schedule for the final assembly

    o Economic order quantity

    o Beginning inventory (Inventory status)

    MRP is characterised by the use of time-phased requirement records.

    10.5.1 Explosion process

    The desired quantity of each component part is calculated by using the Master

    Production Schedule (MPS) in a process known as Bill of Material Explosion.

    Consider an example of a basic telephone instrument.

    Figure 1.12 Bill of Material Explosion for Telephone instrument

    A telephone instrument consists of a base unit and a hand set. The hand set has

    a speaker and a microphone and is covered by a pair of cover plates firmly

    held together using a pair of screws. There is a wire that connects the handset

    to the base unit. This is the parent-child relationship as shown in Figure 2.6.

    Let us assume that we have in stock an inventory of 30 telephones, 27

    handsets and 16 cover plates. Suppose that we want to plan for the production

    of 100 telephones during the next week. How much inventory do we need in

    each of these components?

    One method is merely subtracting the on-hand inventory from the requirement

    at each level to arrive at this number. (Method I in Table 2.4a).

    Another method is to proceed level by level in the computation. In this

    method, after computing the requirement at one level, we use the parent child

    relationship to compute the requirement at the next level (Method II in Table

    2.4b)

    Telephone

    Base unit Hand set

    Cover

    plates (2)Speaker

    Micro-

    phoneScrew (2)

    Wire

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    Table 1.3a Method I

    Basic Telephone

    Required 100

    On-hand inventory 30

    Planned quantity 70Hand set

    Required 100

    On-hand inventory 27

    Planned quantity 73

    Cover plate

    Required 200

    On-hand inventory 16

    Planned quantity 184

    Table 1.3b Method II

    Basic Telephone

    Required 100

    On-hand inventory 30

    Planned quantity 70

    Hand set

    Required 70

    On-hand inventory 27

    Planned quantity 43

    Cover plate

    Required 86

    On-hand inventory 16Planned quantity 70

    10.5.2 Bill of Materials (BOM)

    Shows exactly what goes into what instead of being just a part list.Two ways the bill of material is represented

    10.5.2.1 Product structure diagram or product tree

    Figure 1.13 Product structure for product A

    A

    B(2) C(3)

    D(1) E(4) F(2) G(5) H(4)

    Level 0

    Level 1

    Level 2

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    - Modular BOM describe the product structure for basic sub-assemblies of

    parts that are common to different end items.

    Modularization is used for end items that contain

    many options.

    - Intended BOM: is a form of multi-level BOM

    It exhibits the final product as level 0 and all its components as level 1.

    The level numbers increase as you proceed down the tree structure.

    If an item is used in more than one parent within a given product

    structure, it appears more than once, under every sub-assembly in

    which it is used.

    Problem 1: Product A is assembled from one B assembly, three C assemblies, two D

    assemblies, and four H components. Each B assembly is made from two F subassemblies.

    Each C is made from one G component and one H component. Each D assembly is made

    from two I assemblies and three G components. Each F subassembly is made from three H

    components. Each I subassembly is made from one H component.

    a. Construct a product structure tree for product A.

    b. Prepare and indented bill of materials for Product A.

    10.5.3 Basic MRP Record: There is a universal representation of the status and

    plans for any part number, which is the MRP time-phased record.

    A single record provides the correct information on each part in the system.

    All the single records associated with the parts needed for a complex productis linked together for proper managing.

    Indented parts list

    A

    B(2)

    D(1)

    E(4)

    C(3)F(2)

    G(5)

    H(4)

    Single level parts list

    A

    B(2)

    C(3)

    B

    D(1)E(4)

    C

    F(2)

    G(5)

    H(4)

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    Key elements for linking the records are the bill of material, explosion processand lead time.

    Table 1.4 Basic MRP Record

    Period1 2 3 4 5

    Gross requirements 10 40 10

    Scheduled receipts 50 50

    Projected available balance 4 54 44 44 4 44

    Planned order release 50

    Lead Time (LT) = 1 period

    Lot size = 50 units

    Figure 1.15 Product structure for a ladder-back chair

    10.5.3.1 Terms in MRP record: There are certain terms used in a basic MRP record as

    shown in Table2.5. The terms are defined as follows:

    Gross requirements- are the total demand derived from all parent-production

    plans. They also include demand not otherwise accounted for, such as demand

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    Projected on-hand inventory (or projected available balance) is an estimate

    of the amount of inventory available at end of each week after gross requirements

    have been satisfied.

    - The beginning inventory shown as 50 indicates the on-hand inventory available at

    the time the record was computed.(Projected on-hand inventory balance at end of week t) =

    (Inventory on-hand at end of week t-1) +

    (Scheduled or planned receipt in week t)

    (Gross requirement in week t).

    Planned receipts planning for receipt of new orders will keep the projected on-

    hand balance from dropping below zero.

    Planned order release indicates when an order for a specified quantity of an

    item is to be issued. We must place the planned order release quantity in the

    proper time-bucket (at the beginning of each period)

    Planned order release date = planned receipt date lead time

    - Whenever projected available balance shows a quantity insufficient to satisfy

    gross requirements, additional material must be planned for.

    Period can vary in length from a day to a quarter or even longer. The periods

    are also called a time bucket.

    - Widely used time bucket is one week.

    - The number of period in the record is the planning horizon

    - This is done by creating a planned order release in time to keep the projected

    available balance from becoming negative.

    10.6. Safety Stock and safety lead time

    Safety stock is a buffer of stock above and beyond that needed to satisfy the gross

    requirements.

    Theoretically, MRP systems should not require safety stock

    Variability may necessitate the strategic use of safety stock

    A bottleneck process or one with varying scrap rates may cause shortages

    in downstream operations

    Shortages may occur if orders are late or fabrication or assembly times are

    longer than expected When lead times are variable, the concept of safety time is often used

    Safety lead time is a procedure whereby shop orders are released and scheduled to

    arrive one or more periods before necessary to satisfy the gross requirements.

    When safety stock is used, the projected available balance does not fall below the

    safety stock level instead of reaching zero.

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    Table 1.6a MRP Record with safety stock

    Period

    1 2 3 4 5

    Gross requirements 10 40 10Scheduled receipts 50 50

    Projected available balance 4 54 44 44 54 44

    Planned order release 50

    Lead Time (LT) = 1 period

    Lot size = 50 units

    Safety stock = 10

    Table 1.6b MRP Record with safety lead time

    Period1 2 3 4 5

    Gross requirements 10 40 10

    Scheduled receipts 50 50

    Projected available balance 4 54 44 94 54 44

    Planned order release 50

    Lead Time (LT) = 1 period

    Lot size = 50 units

    Safety lead time = 2 period

    10.7. Lot sizing rules A lot sizing rule determines the size of order quantities for each component in a

    product.

    A lot sizing rule must be assigned to each item before planned receipts and

    planned order releases can be computed.

    While deciding on an appropriate lot size, the planner must keep in mind, the

    influence of two sets of costsset up cost and inventory holding cost.

    It is important because they determine the number of set-ups required and the

    inventory holding costs for each item.

    Large lot sizes will require fewer set-ups, but may result in carrying a hugeinventory for a longer time.

    Smaller lot sizes require several set-ups, thereby increasing the set-up costs.

    The objective of the planner is to minimize the total cost.

    Different methods which are available to determine effective lot size in MRP are

    as follows:

    1. Lot-for-Lot method (L4L)

    2. Economic Order Quantity (EOQ) method

    3. Fixed Order Quantity method (FOQ)

    4. Period Order Quantity (POQ) method5. Periods of supply

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    6. Least Unit Cost (LUC) method

    7. Part Period Balancing (PPB) method

    8. Minimum Cost per Period (MCP) method

    10.7.1

    Lot-to-lot batch sizing: is the simplest for lot sizing technique. The rule is to supplyin each period what is demanded in that period. Lot for lot batch sizing results in

    minimal inventory holding costs.

    However, lot-for-lot means setting up to manufacture (or purchase) once for each

    period in which the item is required, no matter how many are required.

    When setup (or order) costs are low and inventory carrying costs are high, lot-for-

    lot frequently results in the lowest inventory costs.

    Because lot-for-lot is simple, it can be calculated quickly. This is important if the

    firm has many lot sizing decisions to make each time it runs or regenerates its MRP

    schedules.

    Table 1.7a MRP Record given

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Gross

    requirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled

    receipt

    Projectedavailable

    balance

    30

    Planned

    release

    LT=1 week

    Lot-of-lot

    Table 1.7b MRP Record solution

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Gross

    requirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled

    receipt

    50 40 0 15 20 20 0 10 0 15 50

    Projected

    available

    balance

    30 0 0 0 0 0 0 0 0 0 0 0 0

    Planned

    release

    50 40 0 15 20 20 0 10 0 15 50

    LT=1 week

    Lot-of-lot

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    10.7.2Economic Order Quantity method In this method, the economic order

    quantity based on the data given are computed.

    Problem 2: Consider an item that has projected requirement as shown below. The

    beginning inventory is 30 units. The carrying cost per unit per week is Rs 2.50. The costper set-up is Rs. 250 and lead time is 1 week.

    Initial inventory on hand = 30 units

    Average demand per week (d) = 20.83 units/week

    Carrying cost per unit per week (Cc) = Rs. 2.50

    Set up cost per set up (Co) = Rs.250

    unitsC

    dC

    c

    o 655464502

    832025022

    .

    .

    .EOQ

    EOQ is the least-cost position if all the assumptions of constancy of cost and certainty

    of demand and delivery are satisfied. Inventory is much higher than it was when the firm used the lot-for-lot technique.

    Table 1.8a MRP Record given

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Gross

    requirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled receipt

    Projected

    available balance

    30

    Planned release

    LT=1 week

    Lot size =

    EOQ=65 units

    Table 1.8b MRP Record solution

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Gross

    requirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled receipt 65 65 65 65Projected

    available balance

    30 0 15 40 40 25 5 50 50 40 40 25 40

    Planned release 65 65 65 65

    LT=1 week

    Lot size =

    EOQ=65 units 65

    units

    Total number of orders in the planning horizon = 4 weeks

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    Ordering cost = 4 x 250 = 1000

    Carrying cost = 370 x 2.50 = 925

    Total cost = 1925.00

    10.7.3Period Order Quantity (POQ) method: In this method, the economic order size is

    computed as in EOQ method. The optimal order period is computed using the

    following formula:

    Initial inventory on hand = 30 units

    Average demand per week (d) = 20.83 units/week

    Carrying cost per unit per period (Cc) = Rs. 2.50

    Set up cost per set up (Co) = Rs.250

    unitsC

    DC

    c

    o 6554.6450.2

    83.2025022EOQ

    Optimal order period (P*) = weeksEOQD

    N31143

    651084

    52 .

    //

    WhereNis the number of periods per year (52 weeks); D is the annual demand

    Table 1.9a MRP Record given

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Gross

    requirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled

    receipt

    Projected

    available

    balance

    30

    Planned

    release

    LT=1 week

    Lot size =65 units

    In this method, whenever a planned order release is made, its order quantity is equal to

    the sum of the non-zero projected requirements of optimal order periods in sequence

    starting from the first period in that periods combination.

    For example, the projected requirement for week 1 (=30 units) is met from the inventory.

    The requirement for weeks 2, 3, 4 and 5 is added together (50+40+0+15=105) and

    accordingly a planned order release for 105 units is made at the beginning of period 1.(Since the lead time is 1 week)

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    Table 1.9b MRP Record solution

    Period 0 1 2 3 4 5 6 7 8 9 10 11 12

    Grossrequirement

    - 30 50 40 - 15 20 20 - 10 - 15 50

    Scheduled

    receipt

    105 50 65

    Projected

    available

    balance

    30 0 55 15 15 0 30 10 10 0 0 50 0

    Planned

    release

    105 50 65

    LT=1 weekLot size =

    65 units