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    Production Planning & Schedulingin Large Corporations:

    Dealing with the Complexities of

    Product Variety and Structure

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    The Maor Sources of Complexity

    ! " large #ariety of products:

     $  %xample : '(M )des*tops+ laptops+ mainframes+ special,purpose

    computers+ etc- furthermore+ many models for each of the a.o#e

    categories/

     $  %xample 0: 1ord )sedans+ S2V3s mini#ans+ truc*s+ etc- again+

    many models and #ariations in each category/

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    The Maor Sources of Complexity)cont4/! Product structure: "n assem.ly of a num.er of components and su.assem.lies

     $  %xample:

    ! )Des*top/ Computer 

     $  Mother.oard

    5 CP2,card

    5 '67 card

    5 Modem card

    5 Power supply unit

    5 Ventilator 

    5 etc4

     $  Monitor 

     $  8ey.oard

     $  Mouse

     $  )other peripherals/

    ! Some components and su.assem.lies are produced in,house+ and some are

     procured from outside4

    (ill of Materials )(7M/

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    " typical )logical/ 7rgani9ation of the

    Production "cti#ity

    Raw

    Material

    & Comp.

    Inventory

    Finished

    Item

    Inventory

    S+0S+ S+n

    S0+ S0+0 S0+m

    Assembly Line 1: Produt Family 1

    Assembly Line !: Produt Family !

    "a#end $perations

    Dept4 Dept4 0 Dept4 *  

    S+i

    S0+i

    Dept4

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    Dealing with the Pro.lem Complexitythrough Decomposition

    "ggregate Planning

    Master Production Scheduling

    Materials e;uirement Planning

    "ggregate 2nit

    Demand

    %nd 'tem )S82/

    Demand

    Corporate Strategy

    Capacity and "ggregate Production Plans

    S82,le#el Production Plans

    Manufacturing

    and Procurement

    lead timesComponent Production lots and due dates

    Part process

     plans

    %Plan. or.: 1 year' (ime )nit: 1 month*

    %Plan. or.: a +ew months' (ime )nit: 1 wee#*

    %Plan. or.: a +ew months' (ime )nit: 1 wee#*

    Shop floor,le#el Production Control%Plan. or.: a day or a shi+t' (ime )nit: real,time*

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    Technology e;uirements

    ! %ffecti#e Data Collection and Maintenance6Data 'ntegrity: There is a need

    for a monitoring tool that will pro#ide a centrali9ed+ correct and efficient

    representation of the system status at any point in time4

     $  'ndustry Solution: Manufacturing %xecution Systems )M%S/

    ! e4g4+ S"P+ 7racle+ PeopleSoft

    ! %fficient and Coherent Computeri9ed Planning Tools: There is a need for

    a suite of computationally efficient planning tools that will effecti#ely

    address the pro.lems arising at the #arious le#els of the decomposition

    framewor*+ while maintaining plan consistency across the different le#els4

     $  'ndustry Solution: Product and Supply Chain Planning Software

    ! e4g4+ '0 Technologies+ (""

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    "ggregate Planning

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    Product "ggregation Schemes

    !'tems )or Stoc* 8eeping 2nits , S823s/: The final products deli#ered to the

    )downstream/ customers!1amilies: =roup of items that share a common manufacturing setup cost-

    i4e4+ they ha#e similar production re;uirements4!Types: =roups of families with production ;uantities that are determined in

    a single aggregate production plan4

    !"ggregate 2nit: " fictitious item representing an entire product type4!"ggregate 2nit Production e;uirements: The amount of )la.or/ time

    re;uired for the production of one aggregate unit4 This is computed .y

    appropriately a#eraging the la.or time re;uirements o#er the entire set of

    items represented .y the aggregate unit4!"ggregate 2nit Demand: The cumulati#e demand for the entire set of items

    represented .y the aggregate unit4

    emar*: (eing the cumulate of a num.er of independent demand series+ the

    demand for the aggregate unit is a more ro.ust estimate than its constituent

    components4

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    Computing the "ggregate 2nitProduction e;uirements

    >ashing machineModel

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    "ggregate Planning Pro.lem

    "ggregate Planning

    "ggregate

    2nit Demand

    "ggregate

    2nit "#aila.ility

    )Current 'n#entory

    Position/

    "ggregate

    Production Plan

    e;uired

    Production Capacity

    "ggr4 2nitProduction e;s

    Corporate Strategy

    "ggregate Production Plan:

    !"ggregate Production le#els

    !"ggregate 'n#entory le#els!"ggregate (ac*order le#els

    Production Capacity Plan:

    !>or*force le#el)s/

    !7#ertime le#el)s/!Su.contracted Juantities

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    Pure "ggregate Planning Strategies

    4 Demand Chasing: Vary the >or*force Le#el

    D)t/ P)t/ H D)t/

    >)t/

    PC >C KC 1C

    !D)t/: "ggregate demand series!P)t/: "ggregate production le#els!>)t/: e;uired >or*force le#els

    !Costs 'n#ol#ed:!PC: Production Costs

    !fixed )setup+ o#erhead/!#aria.le)materials+ consuma.les+ etc4/

    !>C: egular la.or costs

    !KC: Kiring costs: e4g4+ ad#ertising+ inter#iewing+ training!1C: 1iring costs: e4g4+ compensation+ social cost

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    Pure "ggregate Planning Strategies

    04 Varying Production Capacity with Constant >or*force:

    D)t/ P)t/

    7)t/

    PC >C 7C 2C

    2)t/

    S)t/

    SC

    > H ct!S)t/: Su.contracted ;uantities!7)t/: 7#ertime le#els!2)t/: 2ndertime le#els!Costs in#ol#ed:

    !PC+ >C: as .efore!SC: su.contracting costs: e4g4+ purchasing+ transport+ ;uality+ etc4!7C: o#ertime costs: incremental cost of producing one unit in o#ertime

    !)2C: undertime costs: this is hidden in >C/

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    Pure "ggregate Planning Strategies

    A4 "ccumulating )Seasonal/ 'n#entories:

    D)t/ P)t/

    ')t/

    PC >C 'C

    >)t/+ 7)t/+ 2)t/+ S)t/ H ct

    !')t/: "ccumulated 'n#entory le#els!Costs in#ol#ed:

    !PC+ >C: as .efore!'C: in#entory holding costs: e4g4+ interest lost+ storage space+ pilferage+

    o.solescence+ etc4

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    Pure "ggregate Planning Strategies

    B4 (ac*logging:

    D)t/ P)t/

    ()t/

    PC >C (C

    >)t/+ 7)t/+ 2)t/+ S)t/ H ct

    !()t/: "ccumulated (ac*log le#els!Costs in#ol#ed:

    !PC+ >C: as .efore!(C:  .ac*log )handling/ costs: e4g4+ expediting costs+ penalties+ lost sales

    )e#entually/+ customer dissatisfaction

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    Typical "ggregate Planning Strategy

    " mixture of the pre#iously discussed pure options:

    D

    PC >C KC 1C 7C 2C SC 'C (C

    P>K

    172S

    '

    (

    -"dditional constraints arising from the company strategy- e4g4+

    !maximal allowed su.contracting!maximal allowed wor*force #ariation in two consecuti#e periods!maximal allowed o#ertime

    !safety stoc*s!etc4

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    Solution "pproaches

    ! =raphical "pproaches: Spreadsheet,.ased simulation

    ! "nalytical "pproaches: Mathematical )mainly linear

     programming/ Programming formulations

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    Proacti#e approaches todemand management

    ! 'nfluencing demand #ariation so that it aligns to a#aila.le

     production capacity:

     $  ad#ertising

     $   promotional plans

     $   pricing

    )e4g4+ airline and hotel wee*end discounts+ telecommunication

    companies3 wee*end rates/

    ! Counter,seasonal product )and ser#ice/ mixing: De#elop

    a product mix with antithetic )seasonal/ trends that le#el thecumulati#e re;uired production capacity4

     $  )e4g4+ lawn mowers and snow .lowers/

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    Modern Trends in"ggregate Planning

    ! To effecti#ely achie#e the competiti#e ad#antages and economies of scalere;uired in today3s mar*ets+ large corporations must plan and manage their

     production acti#ity across the entire supply chain4

    ! This introduces another spatial6geographical dimension to the

    aggregate6capacity planning pro.lem+ and extends the initial cost structure

    with additional items li*e transportation and storage6handling costs4! The pro.lem get especially complicated for companies with multinational

    operations+ since these companies must factor into their planning

    additional issues li*e:

     $  duties and tariffs and ;uotas

     $  exchange rates

     $  local corporate tax rates

     $  cultural+ language and political issues

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    Master Production Scheduling

    )MPS/

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    The )Master/ Production Scheduling Pro.lem

    MPS

    Placed 7rders

    1orecasted Demand

    Current 'n#entory Positions

    "lready 'nitiated Production

    Master Production

    Schedule:

    >hen & Kow Much

    to produce for each

     product

    Capacity

    Consts4

    Company

    Policies

    %conomic

    Considerations

    Product

    Charact4

    Planning

    Kori9on

    Time

    unit

    Capacity

    Planning

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    The Dri#ing Logic for the %mpirical "pproach

    Demand "#aila.ility:

    !'nitial 'n#entory Position

    !Scheduled eceipts

    1uture in#entories

     

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    )Typical/ "nalytical "pproaches to MPS

    ! ecogni9ing that switching production from item to item)or family to family/ re;uires long set,up times+ duringwhich the effecti#e producti#ity of the line is e;ual to 9ero+these )formal/ approaches try to minimi9e the )long,run/num.er of set,ups while meeting the production needs+ as

    expressed .y the aggregate production plan and the currentS82 a#aila.ility4

    ! %xamples: $  Text.oo*+ pg4 B@

     $  %lsayed & (oucher+ "nalysis and Control of Production

    Systems )0nd ed4/+ Prentice Kall+ B+ pgs B@,@: (loc*edMaximal Cycle Keuristic4

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    Materials e;uirements Planning

    )MP/

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    The MP %xplosion Calculus

    "$M

    MP

    MP

    Current

    Availabilities

    Planned

    $rder Releases

    Priority

    Plannin/

    Lead(imes

    Lot i0in/

    Poliies

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    (ill 7f Materials )(7M/" formal6systematic representation of the product structure and the

    assem.ly steps re;uired for its synthesis from its components andsu.assem.lies4

    !!

    112%3*

    114%!*

    !2!

    %5*

    !41

    %!*

    !21

    %1*

    !21

    %1*

    1 units

    !Su.assem.ly @: Ax)num.er of F00/ AxFF AFF

    !Su.assem.ly : 0x)num.er of F00/ 0xFF 0FF!Component 0@: x)num.er of @/ xAFF

      x)num.er of / x0FF @FF

    !Component 0@0: Bx)num.er of @/ BxAFF 0FF

    !Component 0: 0x)num.er of / 0x0FF BFF 

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    )Production/ Lead TimesThe expected time inter#al .etween the time that the order for 

    a new production lot is released+ and the time that the lot is a#aila.le)to .e used in the fa.rication of its parent component/4

    Lead times incorporate:!set,up times! processing times

    !transfer time!waiting times

    !!

    1 wee# 

    112%3*

    ! wee#s

    114%!*

    3 wee#s

    !2!%5*

    ! wee#s

    !41%!*

    1 wee# 

    !21%1*

    1 wee# 

    !21%1*

    1 wee# 

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    Time,Phased Product Structure

    (ime in wee#s

    !!617

    6!7

    637

    617

    6!7617

    617

    !12%1*

    !2!%5*

    !41%!*

    !21%1*

    112%3*

    114%!*

    0AB@

    % l Ti Ph d

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    %xample: Time,PhasedProduction e;uirements

    Part ee* 

    0 A B @ G E Lead Time

    F00

    @

    0@

    0@0

    0

    $rd. Re.

    $rd. Re.

    $rd. Re.

    $rd. Re.

    $rd. Re.

    $rd. Re.

    $rd. Rel.

    $rd. Rel.

    $rd. Rel.

    $rd. Rel.

    $rd. Rel.

    $rd. Rel.

    wee* 

    0 wee*s

    A wee*s

    wee* 

    0 wee*s

    wee* 

    FF

    FF

    AFF

    0FF

    AFF

    0FF

    AFF0FF

    AFF0FF

    0FF

    0FF

    BFF

    BFF

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    =ross e;uirementsThe cumulati#e time,phased demand for a certain part+ integrating the part demand generated from the production plans of its parent

    items+ and also+ additional external demand+ arising+ for instance+from the need for spare parts+ inter,plant shipments+ etc4

    A

    C%!* 8%1*

    "

    C%1* 9%1*

    Item A

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

    NNN4

    Planned 7rd4 el4   30

    Item "

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

    NNNN

    Planned 7rd4 el4   30 75

    Item C

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

    =ross e;uirements   12 10 90 75

    ervie orderInterplant hipment

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    Ta*ing into "ccount theCurrent 'tem "#aila.ility

    Item C

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

    =ross e;uirements   12 10 90 75

    Scheduled eceipts   20

    'n#entory Position: 0F   20 40 40 40 40 28 18 18 -72 0 -75 0

     

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    (7M Le#els!Le#el F: %nd 'tems )S823s/!Le#el : 'tems that constitute components )are children/ of le#el,F

    item)s/ only!Le#el 0: 'tems that are children of le#el + and+ potentially+ some

    le#el F items only!Le#el i: 'tems that are children of le#el i,+ and+ potentially+ some

    le#el F to i,0 item)s/ only

    C

    "

    9 F

    >9 C

    F 88

    C >F9

    F9

    9

    A

    Level : A' " Level 1: 8' Level !: C' > Level 3: 9' F

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    The MP %xplosion Calculus

    Level

    Level 1

    Level !

    Level ;

    Initial

    Inventories

    heduled

    Reeipts

    9=ternal 8emand

    Capaity

    Plannin/

    Planned

     $rder Releases>ross Re

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    Capacity Planning )%xample/

    Availablelabor

    hours

    Periods 0 A B @ G E

    @F

    FF

    @F

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    %xample: The )complete/ MP %xplosionCalculus

    )O4 Kei9er and (4 ender 7perations Management+ Gth %d4 Prentice Kall/

    'tem (7M:

    "lpha

    C)0/D)0/

    ()/ C)/

    %)/

    %)/

    1)/

    1)/

    Item Lead Time Current Inv. Pos.

     Alpha 1 10

    B 2 20

    C 3 0

    D 1 100E 1 10

    F 1 50

    Gross Reqs for Alpha

    Period 6 7 8 9 10 11 12 13

    Gross Res! 50 50 100

    'tem Le#els:

    Le#el F: "lpha Le#el : ( Le#el 0: C+ D Le#el A: %+ 1

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