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Critical Path The longest path from start to finish; determines expected project duration... Early Start, Early FinishFinding ES and EF involves a forward pass through the network di

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Project Management

Chapter 17

McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc All rights reserved.

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Chapter 17: Learning Objectives

1 Discuss the behavioral aspects of projects in terms of project

personnel and the project manager

2 Explain the nature and importance of a work breakdown

structure in project management

3 Give a general description of PERT/CPM techniques

4 Construct simple network diagrams

5 List the kinds of information that a PERT or CPM analysis can

provide

6 Analyze networks with deterministic times

7 Analyze networks with probabilistic times

8 Describe activity ‘crashing’ and solve typical problems

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Projects

Unique, one-time operations designed to

accomplish a specific set of objectives in a

limited time frame

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Project Life Cycle

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The Nature of Projects

Projects go through a series of stages– a life

cycle

Projects bring together people with a

diversity of knowledge and skills, most of

whom remain associated with the project for

less than its full life

Organizational structure affects how projects

are managed

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The Nature of Projects

Projects go through a series of stages– a life cycle

Projects bring together people with a

diversity of knowledge and skills, most

of whom remain associated with the

project for less than its full life

Organizational structure affects how

projects are managed

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Project Management

How is it different?

Limited time frame

Narrow focus, specific objectives

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Project Management

What are the tools?

Work breakdown structure

Network diagram

Gantt charts

Project Management software

Risk management

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Having a capable project manager

Having time to plan

Careful tracking and control

Good communications

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Project Management Decisions

Project success depends upon making key managerial decisions over a

sequence of steps:

Deciding which projects to implement

Selecting the project manager

Selecting the project team

Planning and designing the project

Managing and controlling project resources

Deciding if and when a project should be

terminated

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Project Manager

The project manager is ultimately responsible for

the success or failure of the project

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Behavioral Issues

exacerbated by

 Decentralized decision making

 Stress of achieving project milestones on time and

within budget

 Surprises

 Interpersonal and coping skills are very important

 Conflict resolution and negotiation can be an important

part of a project manager’s job

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Project Champion

Project champion

A person who promotes and supports a project

 Usually resides within the organization

 Facilitate the work of the project by ‘talking up’ the

project to other managers, and who might be asked to share resources with the project team as well as employees who might be asked to work on parts of the project

 The project champion can be critical to the success

of a project

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Work Breakdown Structure (WBS)

A hierarchical listing of what must be done

during a project

 Establishes a logical framework for identifying the

required activities for the project

1 Identify the major elements of the project

2 Identify the major supporting activities for each of

the major elements

3 Break down each major supporting activity into a

list of the activities that will be needed to accomplish it

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WBS

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Gantt Chart

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PERT and CPM

PERT (program evaluation and review

technique) and CPM (critical path method)

are two techniques used to manage

large-scale projects

By using PERT or CPM Managers can obtain:

1 A graphical display of project activities

2 An estimate of how long the project will take

3 An indication of which activities are most critical to

timely project completion

4 An indication of how long any activity can be delayed

without delaying the project

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Network Diagram

 Diagram of project activities that shows sequential

relationships by use of arrows and nodes

Activity on arrow (AOA)

 Network diagram convention in which arrows designate

activities

Activity on node (AON)

 Network convention in which nodes designate activities

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The Network Diagram (cont’d)

Sequence of activities that leads from the

starting node to the finishing node

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Network Conventions

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Network Conventions

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PERT and CPM

PERT: Program Evaluation and

Review Technique

CPM: Critical Path Method

Graphically displays project activities

Estimates how long the project will

take

Indicates most critical activities

Show where delays will not affect

project

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Order furniture

Furniture setup

Interview

Hire and train

Remodel

Move in

Figure 17.4

AOA

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Order furniture

Furniture setup

Interview

Remodel Move in

4

Hire and train

7 S

Figure 17.4

AON

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Example

Activity Activity Description

Activity that Precedes

Activity Duration

a Locate new facilities None 8

c Hire and train staff b 9

d Select and order furniture a 6

e Remodel and install phones a 11

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Example - MS Project

ID Task Name Duration Start Finish Predecessors Resource

Names

1 Locate new facilities 8 wks Wed 2/19/03 Tue 4 /15/03

2 Interview staff 4 wks Wed 2/19/03 Tue 3/18/03

3 Hire and train staff 9 wks Wed 3/19/03 Tue 5/20/03 2

4 Select and order furniture 6 wks Wed 4 /16/03 Tue 5/27/03 1

5 Remodel and install phones 11 wks Wed 4 /16/03 Tue 7/1/03 1

6 Furniture Setup 3 wks Wed 5/28/03 Tue 6/17/03 4

7 Move in 1 wk Wed 7/2/03 Tue 7/8/03 3,5,6

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Hire and train staff

Select and order

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Planning and Scheduling

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Deterministic Time Estimates

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Ord er furn itur

e F u

rn itu re

se

tu p

Inte rvie w

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Critical Path

The longest path from start to finish;

determines expected project duration

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2 0 6

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Network activities

ES: early start

EF: early finish

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AON Diagram

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AON Diagram

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AON Diagram

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AON Diagram

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Slack = 6 Slack = 6

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Early Start, Early Finish

Finding ES and EF involves a forward pass

through the network diagram

Early start (ES)

 The earliest time an activity can start

 Assumes all preceding activities start as early as possible

 For nodes with one entering arrow

ES = EF of the entering arrow

 For activities leaving nodes with multiple entering arrows

ES = the largest of the largest entering EF

Early finish (EF)

 The earliest time an activity can finish

EF = ES + t

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Late Start, Late Finish

through the network diagram

Late Start (LS)

 The latest time the activity can start and not delay the project

 The latest starting time for each activity is equal to its latest finishing time minus its expected duration:

Late Finish (LF)

 The latest time the activity can finish and not delay the project

 For nodes with one leaving arrow, LF for nodes entering that node equals the LS of the leaving arrow

 For nodes with multiple leaving arrows, LF for arrows entering node equals the smallest of the leaving arrows

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Slack and the Critical Path

Slack can be computed one of two ways:

Slack = LS – ES

Slack = LF – EF

Critical path

The critical path is indicated by the activities

with zero slack

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Using Slack Times

Knowledge of slack times provides managers

with information for planning allocation of

scarce resources

 Control efforts will be directed toward those activities that

might be most susceptible to delaying the project

 Activity slack times are based on the assumption that all

of the activities on the same path will be started as early

as possible and not exceed their expected time

 If two activities are on the same path and have the same

slack, this will be the total slack available to both

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Probabilistic Time Estimates

The beta distribution is generally used to

describe the inherent variability in time

 The length of time required under the worst conditions

Most likely time, (t m)

 The most probable length of time required

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The Beta Distribution

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Probabilistic Time Estimates

The expected time, te ,for an activity is a

weighted average of the three time

estimates:

The expected duration of a path is equal to

the sum of the expected times of the

activities on that path:

6

o e

t t

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Probabilistic Time Estimates

The standard deviation of each activity’s time is

estimated as one-sixth of the difference between

the pessimistic and optimistic time estimates

The variance is the square of the standard

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Knowledge of Path Statistics

Knowledge of expected path times and their

standard deviations enables managers to

compute probabilistic estimates about

project completion such as:

The probability that the project will be

completed by a certain time

The probability that the project will take longer

than its expected completion time

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Example

Activity Activity Description

Activity that Precedes

Activity Duration

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Hire and train staff 9 9 9 9 0 0

Select and order furniture 3 6.25 8 6 0.6944 0.8333

Remodel and install phones 9 11 13 11 0.4444 0.6667

Furniture Setup 2 3 4 3 0.1111 0.3333

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Variance of a Path

σpath = v(variance of activities on the path)

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Variance and Standard

Deviation of Critical Path

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5-7-9 f

2-4-6 b

4-6-8 h

2-3 -6

i

2-3 -5 c

Optimistic

time

Most likely time

Pessimistic time

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Example 5 Time Estimates

2.8 3 a

4.00 d

5.0 e

7.0 f

4.00 b

6.0 h

3.3 3

i

3.1 7 c

Tabc = 10.0

Tdef = 16.0

Tghi = 13.50

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Determining Path Probabilities

deviation standard

Path

mean Path

time

-Specified

z

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Project Completion Time

A project is not complete until all project activities are

complete

It is risky to only consider the critical path when assessing the

probability of completing a project within a specified time.

 To determine the probability of completing the project within a particular

time frame

Calculate the probability that each path in the project will be completed

within the specified time

 Multiply these probabilities

The result is the probability that the project will be completed

within the specified time

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Standard Deviation = σ (e.g .9428)

Specified Mean – Path Mean

Z =

Path Standard Deviation

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17-61

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17 Weeks

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Assumption: Independence

Independence

Assumption that path duration times are

independent of each other

 Requires that

1 Activity times are independent

2 Each activity is on only one path

 The assumption of independence is usually

considered to be met if only a few activities in a

large project are on multiple paths

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independent, simulation is often used

 Repeated sampling is used

 Many paths are made through the project network

 In each pass, a random value for each activity time is

selected based on the activity time’s probability distribution

 After each pass, the project’s duration is determined

 After a large number of passes, there are enough data points

to prepare a frequency distribution of the project duration

 Probabilistic estimates of completion times are made based

on this frequency distribution

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Budget Control

Budget control is an important aspect of

project management

Costs can exceed budget

 Overly optimistic time estimates

 Unforeseen events

Unless corrective action is taken, serious cost

overruns can occur

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Time-Cost Trade-Offs

Activity time estimates are made for some

given level of resources

It may be possible to reduce the duration of

a project by injecting additional resources

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Time-Cost Trade-Offs: Crashing

Crashing

 Shortening activity durations

additional personnel or more efficient equipment, and the relaxing of some work specifications

 The project duration may be shortened by increasing

direct expenses, thereby realizing savings in

indirect project costs

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Crashing Decisions

information about:

1 Regular time and crash time estimates for each activity

2 Regular cost and crash cost estimates for each activity

3 A list of activities that are on the critical path

overall project duration

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Crashing: Procedure

General procedure:

1 Crash the project one period at a time

2 Crash the least expensive activity that is on the critical

path

3 When there are multiple critical paths, find the sum of

crashing the least expensive activity on each critical

path

 If two or more critical paths share common

activities, compare the least expensive cost of crashing a common activity shared by critical paths with the sum for the separate critical paths

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Crashing Activities

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PERT: Advantages

Among the most useful features of

PERT:

1.It forces the manager to organize and quantify

available information and to identify where

additional information is needed

2.It provides the a graphic display of the project

and its major activities

3.It identifies

a Activities that should be closely watched

b Activities that have slack time

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Sources of Error

Potential sources of error:

1 The project network may be incomplete

2 Precedence relationships may not be correctly

expressed

3 Time estimates may be inaccurate

4 There may be a tendency to focus on critical path

activities to the exclusion of other important project

activities

5 Major risk events may not be on the critical path

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Critical Chain Project Management

To better manage projects, managers need to be

aware of certain aspects of the project:

1 Time estimates are often pessimistic and with attention can

be made more realistic

2 When activities are finished ahead of schedule, that fact may

go unreported, so managers may be unaware of resources

that could potentially be used to shorten the critical path

The critical chain is analogous to the critical path of

a network

A key feature of the critical chain approach is the

use of various buffers

 Project

 Capacity

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Project Management Software

 CAD

 To produce updated prototypes on construction and

product-development projects

 Communication software

 Helps to keep project members in close contact

 Facilitates remote viewing of projects

 Project management software

 Specialized software used to help manage projects

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Project Management Software

Advantages

Advantages include:

 Imposes a methodology and common project

management terminology

 Provides a logical planning structure

 May enhance communication among team members

 Can flag the occurrence of constraint violations

 Automatically formats reports

 Can generate multiple levels of summary and detail

reports

 Enables “what if” scenarios

 Can generate a variety of chart types

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Risk Management

 Risks relate to occurrence of events that have undesirable

consequences such as

 Good risk management involves

any that do occur

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Project Life Cycle

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Operations Strategy

Projects present both strategic opportunities and risks

 It is critical to devote sufficient resources and attention to projects

 Projects are often employed in situations that are characterized by

significant uncertainties that demand

 Project software can facilitate successful project completion

to the exclusion of other activities that may become critical

 It is not uncommon for projects to fail

reasons for failure

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