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© 2000 by Prentice-Hall IncRussell/Taylor Oper Mgt 3/e
Chapter 6
Project Management
2000 by Prentice-Hall, Inc 2
A Project is
Unique One-time operation Containing an interrelated set of unique
activities Has a definite starting and end point Is designed to accomplish a specific set of
objectives In a limited time frame
2000 by Prentice-Hall, Inc 3
Project management
The planning, directing, and control of resources (people, equipment, and material) to meet the technical and cost constraints of the project
2000 by Prentice-Hall, Inc 4
Examples:
Constructing a shopping complex Installing a new computer system Developing a new space shuttle Introducing a new product or service into
the marketplace Redesigning the layout of a plant or office
2000 by Prentice-Hall, Inc 5Ch 17 - 3© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Project Planning
Statement of work written description of goals, work & time
frame of project Activities require labor, resources & time Precedence relationship shows sequential
relationship of project activities
2000 by Prentice-Hall, Inc 6Ch 17 - 4© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Simplified Project Network
1 32Construct forms Pour concrete
2000 by Prentice-Hall, Inc 7Ch 17 - 5© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Elements Of Project Planning
Define project objective(s) Identify activities Establish precedence relationships Make time estimates Determine project completion time Compare project schedule objectives Determine resource requirements to meet
objective
2000 by Prentice-Hall, Inc 8Ch 17 - 7© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Gantt Chart
Popular tool for project scheduling Graph with bar for representing the time
for each task Provides visual display of project
schedule Also shows slack for activities
(amount of time activity can be delayed without delaying project)
2000 by Prentice-Hall, Inc 9Ch 17 - 8© 2000by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
20 4 106 8
31 5 7 9Month
Month
Activity
Design house andobtain financing
Lay foundation
Order and receivematerials
Build house
Select paint
Select carpet
Finish work
A Gantt Chart
2000 by Prentice-Hall, Inc 10Ch 17 - 9© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
CPM/PERT
Critical Path Method (CPM) DuPont & Remington-Rand (1956) deterministic task times
Project Evaluation & Review Technique (PERT)
US Navy, Booz, Allen & Hamilton multiple task time estimates
2000 by Prentice-Hall, Inc 11Ch 17 - 10© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
The Project Network
Network consists of branches & nodes
1 32
Branch
Node
2000 by Prentice-Hall, Inc 12Ch 17 - 12© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Project Network For A House
1 2 4 6 7
3
5
32
0
1
31
1
1
Lay foundation
Design house and obtain financing
Order and receive materials
Dummy
Finish work
Select carpet
Select paint
Build house
2000 by Prentice-Hall, Inc 13Ch 17 - 13© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Critical Path
A path is a sequence of connected activities running from start to end node in network
The critical path is the path with the longest duration in the network
Project cannot be completed in less than the time of the critical path
2000 by Prentice-Hall, Inc 14Ch 17 - 15© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Concurrent Activities
4
3
2
DummyLay foundation
2 3
Lay foundation
Order materialOrder material
Incorrect precedence relationship
Correct precedence relationship
2000 by Prentice-Hall, Inc 15Ch 17 - 16© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Early Times(Housebuilding example)
ES - earliest time activity can start Forward pass starts at beginning of
CPM/PERT network to determine ES times
EF = ES + activity time
2000 by Prentice-Hall, Inc 16Ch 17 - 18© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Late Times
LS - latest time activity can start & not delay project
Backward pass starts at end of CPM/PERT network to determine LS times
LS = LF - activity time
2000 by Prentice-Hall, Inc 17Ch 17 - 21© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Activity Slack
Activities on critical path have ES=LS & EF=LF
Activities not on critical path have slack
Sij = LSij - ESij
Sij = LFij - EFij
2000 by Prentice-Hall, Inc 18Ch 17 - 23© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Probabilistic Time Estimates
Reflect uncertainty of activity times Beta distribution is used in PERT
b - a6
( )Variance: 2 =
a = optimistic estimatem = most likely time estimateb = pessimistic time estimate
Where,
2
Mean (expected time): a + 4m + b6
t =
2000 by Prentice-Hall, Inc 20Ch 17 - 29© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Project Variance
Project variance is the sum of variances on the critical path
2000 by Prentice-Hall, Inc 21Ch 17 - 30© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Probabilistic Network Analysis
Determine probability that project is completed within specified time
where
= tp = project mean time = project standard deviationx = proposed project timeZ = number of standard deviations x is from mean
Z = x -
2000 by Prentice-Hall, Inc 22Ch 17 - 31© 2000 by Prentice-Hall Inc
Russell/Taylor Oper Mgt 3/e
Normal Distribution Of Project Time
= tp Timex
Z
Probability