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PB 602 OPERATION MANAGEMENT 
PROJECT MANAGEMENT TECHNIQUES 
PN SITI MARIAM BINTI SAMAT 
Mohamad Ihsan Hakim Bin Rozali 16BPM12F2004 
Muhamad Shaiful Nizam Bin Abd Rahman 16BPM12F2003 
Raja Izzat Muqri Bin Raja Zahari 16DPM11F2033
PERT AND CPM 
Program evaluation and review technique and the Critical 
path method is develop in 1950s to help managers 
schedule, monitor and control large and complex projects.
Définition PERT 
• PERT stands for program évaluation and review 
technique 
• A Project management technique That employs three 
times estimates for each activity
Definition CPM 
• CPM stands for critical path method 
• A Project management technique That uses only one 
time factor per activity
Six basic step for PERT and CPM 
1. Define the project and prepare the work breakdown structure 
2. Develop the relationship among the activities. Decide which 
activities must precede and which must follow others. 
3. Draw the network connecting all the activities 
4. Assign time and/or cost estimates to each activity 
5. Compute the longest time path through the network. This is called 
critical path. 
6. Use the network to help plan, schedule, monitor and control the 
project
Important of PERT and CPM 
Answer the question of: 
• When will the entire project be completed? 
• Which are the noncritical activities? 
• What is the probability that the project will be completed by a 
specific date? 
• At any particular date, is the project on schedule,behind 
schedule or ahead of schedule? 
• On any given time is the money spend equal to,less than,or 
greater than budgeted amount?
Important of PERT and CPM 
• Are there enough resources available to finish the project on 
time? 
• If the project is to be finished in a shorter amount of time, what 
is the best way to accomplish this goal at the least cost?
Program Evaluation and 
Review Technique (PERT)
Steps to Develop and Analyze a PERT 
Network 
STEP 1 
Decompose project into individual job or tasks and 
identify each of them. 
STEP 2 
Find out activities or tasks sequence and develop 
network. 
STEP 3 
Estimate each activities duration time
STEP 4 
Obtain expected duration time of each activity 
STEP 5 
Determine each activity time variance 
STEP 6 
Find out the critical path of the network under study. 
Step 7 
Calculate project completion probability on the 
specified time (date).
Earliest start (ES) = earliest time at which an activity can start, assuming all 
Activity Description Time (weeks) 
predecessors have been completed 
A Build internal components 2 
B Modify roof and floor 3 
C Construct collection stack 2 
D Pour concrete and install frame 4 
E Build high-temperature burner 4 
F Install pollution control system 3 
G Install air pollution device 5 
H Inspect and test 2 
Earliest finish (EF) = earliest time at which an activity can be finished 
Latest start (LS) = latest time at which an activity can start so as to not delay 
the completion time of the entire project 
Latest finish (LF) = latest time by which an activity has to be finished so as to 
not delay the completion time of the entire project 
Total Time (weeks) 25
A 
Activity Name or 
Symbol 
Earliest 
Start ES 
Earliest 
EF Finish 
Latest 
Start 
LS Latest 
Finish 
LF 
Activity Duration 
2
Forward Pass 
Begin at starting event and work forward 
Earliest Start Time Rule: 
 If an activity has only a single immediate 
predecessor, its ES equals the EF of the 
predecessor 
 If an activity has multiple immediate 
predecessors, its ES is the maximum of all 
the EF values of its predecessors 
ES = Max {EF of all immediate predecessors}
Forward Pass 
Begin at starting event and work forward 
Earliest Finish Time Rule: 
 The earliest finish time (EF) of an activity is 
the sum of its earliest start time (ES) and its 
activity time 
EF = ES + Activity time
Backward Pass 
Begin with the last event and work backwards 
Latest Finish Time Rule: 
 If an activity is an immediate predecessor for 
just a single activity, its LF equals the LS of the 
activity that immediately follows it 
 If an activity is an immediate predecessor to 
more than one activity, its LF is the minimum 
of all LS values of all activities that 
immediately follow it 
LF = Min {LS of all immediate following activities}
Backward Pass 
Begin with the last event and work backwards 
Latest Start Time Rule: 
 The latest start time (LS) of an activity is the 
difference of its latest finish time (LF) and its 
activity time 
LS = LF – Activity time
AON Example 
Milwaukee Paper Manufacturing's 
Activities and Predecessors 
Activity Description 
Immediate 
Predecessors 
A Build internal components — 
B Modify roof and floor — 
C Construct collection stack A 
D Pour concrete and install frame A, B 
E Build high-temperature burner C 
F Install pollution control system C 
G Install air pollution device D, E 
H Inspect and test F, G
AON Network for Milwaukee 
Paper 
G 
E 
F 
H 
A C 
Start 
B D 
Arrows Show Precedence 
Relationships
Activity Description Times(week) 
A Build internal components 2 
B Modify roof and floor 3 
C Construct collection stack 2 
D Pour concrete and install 
frame 
4 
E Build high-temperature 
burner 
4 
F Install pollution control 
system 
3 
G Install air pollution device 5 
H Inspect and test 2
Perth diagram for 
Milwaukee Paper 
E 
7 
4 8 13 15 
4 
F 
3 
G 
5 
H 
2 
4 
8 13 
13 15 
10 13 
8 13 
4 8 
C 
2 4 
2 
D 
3 7 
4 
0 2 
B 
0 3 
3 
Start 
0 
0 
0 
A 
2 
2 4 
4 8 
0 2 
1 4 
0 0
Example 2 : 
lisa Sdn Bhd owns a data needed to complete a work on a project in Kulim Kedah Farm. Ask 
your company Assistant Project Manager to prepare a working paper based on information 
table 
Activities Immediate 
precedence 
Activities 
Optimistic 
Time 
(month) 
Most Likely Time Pessimistic time 
A - 4 5 12 
B A 3 4.5 15 
C A 2 3 4 
D C 6 8 22 
E B 4 6 8 
F C 3 4 5 
G D,E 1.5 3 4.5 
H B 5 7 15 
I H 3 4 5 
J G,I 2 4 6
(I) The time required to complete each activity 
(II) Construct the PERT network for each activity 
(III) Count ES,EF,LS, and LF 
(IV) The longest time to complete the project 
i. The optimistic time (a) 
ii. The pessimistic time(m) 
iii. The most likely time(b) 
t =a+4m+b 
6
Activities Immediate 
precedence 
Activities 
Optimistic 
Time 
(month) 
Most Likely 
Time 
Pessimistic 
time 
Expected 
time 
A - 4 5 12 6 
B A 3 4.5 15 6 
C A 2 3 4 3 
D C 6 8 22 10 
E B 4 6 8 6 
F C 3 4 5 4 
G D,E 1.5 3 4.5 3 
H B 5 7 15 8 
I H 3 4 5 4 
J G,I 2 4 6 4
Answer:Pert diagram and cpm 
will be show at the whiteboard
Advantages of PERT/CPM 
1. Especially useful when scheduling and 
controlling large projects 
2. Straightforward concept and not mathematically 
complex 
3. Graphical networks help highlight relationships 
among project activities 
4. Critical path and slack time analyses help 
pinpoint activities that need to be closely 
watched
Advantages of PERT/CPM 
5. Project documentation and graphics point out 
who is responsible for various activities 
6. Applicable to a wide variety of projects 
7. Useful in monitoring not only schedules but 
costs as well
Limitations of PERT/CPM 
1. Project activities have to be clearly defined, 
independent, and stable in their relationships 
2. Precedence relationships must be specified and 
networked together 
3. Time estimates tend to be subjective and are 
subject to fudging by managers 
4. There is an inherent danger of too much 
emphasis being placed on the longest, or critical, 
path

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Pb602 operation management chapter 7

  • 1. PB 602 OPERATION MANAGEMENT PROJECT MANAGEMENT TECHNIQUES PN SITI MARIAM BINTI SAMAT Mohamad Ihsan Hakim Bin Rozali 16BPM12F2004 Muhamad Shaiful Nizam Bin Abd Rahman 16BPM12F2003 Raja Izzat Muqri Bin Raja Zahari 16DPM11F2033
  • 2. PERT AND CPM Program evaluation and review technique and the Critical path method is develop in 1950s to help managers schedule, monitor and control large and complex projects.
  • 3. Définition PERT • PERT stands for program évaluation and review technique • A Project management technique That employs three times estimates for each activity
  • 4. Definition CPM • CPM stands for critical path method • A Project management technique That uses only one time factor per activity
  • 5. Six basic step for PERT and CPM 1. Define the project and prepare the work breakdown structure 2. Develop the relationship among the activities. Decide which activities must precede and which must follow others. 3. Draw the network connecting all the activities 4. Assign time and/or cost estimates to each activity 5. Compute the longest time path through the network. This is called critical path. 6. Use the network to help plan, schedule, monitor and control the project
  • 6. Important of PERT and CPM Answer the question of: • When will the entire project be completed? • Which are the noncritical activities? • What is the probability that the project will be completed by a specific date? • At any particular date, is the project on schedule,behind schedule or ahead of schedule? • On any given time is the money spend equal to,less than,or greater than budgeted amount?
  • 7. Important of PERT and CPM • Are there enough resources available to finish the project on time? • If the project is to be finished in a shorter amount of time, what is the best way to accomplish this goal at the least cost?
  • 8. Program Evaluation and Review Technique (PERT)
  • 9. Steps to Develop and Analyze a PERT Network STEP 1 Decompose project into individual job or tasks and identify each of them. STEP 2 Find out activities or tasks sequence and develop network. STEP 3 Estimate each activities duration time
  • 10. STEP 4 Obtain expected duration time of each activity STEP 5 Determine each activity time variance STEP 6 Find out the critical path of the network under study. Step 7 Calculate project completion probability on the specified time (date).
  • 11. Earliest start (ES) = earliest time at which an activity can start, assuming all Activity Description Time (weeks) predecessors have been completed A Build internal components 2 B Modify roof and floor 3 C Construct collection stack 2 D Pour concrete and install frame 4 E Build high-temperature burner 4 F Install pollution control system 3 G Install air pollution device 5 H Inspect and test 2 Earliest finish (EF) = earliest time at which an activity can be finished Latest start (LS) = latest time at which an activity can start so as to not delay the completion time of the entire project Latest finish (LF) = latest time by which an activity has to be finished so as to not delay the completion time of the entire project Total Time (weeks) 25
  • 12. A Activity Name or Symbol Earliest Start ES Earliest EF Finish Latest Start LS Latest Finish LF Activity Duration 2
  • 13. Forward Pass Begin at starting event and work forward Earliest Start Time Rule:  If an activity has only a single immediate predecessor, its ES equals the EF of the predecessor  If an activity has multiple immediate predecessors, its ES is the maximum of all the EF values of its predecessors ES = Max {EF of all immediate predecessors}
  • 14. Forward Pass Begin at starting event and work forward Earliest Finish Time Rule:  The earliest finish time (EF) of an activity is the sum of its earliest start time (ES) and its activity time EF = ES + Activity time
  • 15. Backward Pass Begin with the last event and work backwards Latest Finish Time Rule:  If an activity is an immediate predecessor for just a single activity, its LF equals the LS of the activity that immediately follows it  If an activity is an immediate predecessor to more than one activity, its LF is the minimum of all LS values of all activities that immediately follow it LF = Min {LS of all immediate following activities}
  • 16. Backward Pass Begin with the last event and work backwards Latest Start Time Rule:  The latest start time (LS) of an activity is the difference of its latest finish time (LF) and its activity time LS = LF – Activity time
  • 17. AON Example Milwaukee Paper Manufacturing's Activities and Predecessors Activity Description Immediate Predecessors A Build internal components — B Modify roof and floor — C Construct collection stack A D Pour concrete and install frame A, B E Build high-temperature burner C F Install pollution control system C G Install air pollution device D, E H Inspect and test F, G
  • 18. AON Network for Milwaukee Paper G E F H A C Start B D Arrows Show Precedence Relationships
  • 19. Activity Description Times(week) A Build internal components 2 B Modify roof and floor 3 C Construct collection stack 2 D Pour concrete and install frame 4 E Build high-temperature burner 4 F Install pollution control system 3 G Install air pollution device 5 H Inspect and test 2
  • 20. Perth diagram for Milwaukee Paper E 7 4 8 13 15 4 F 3 G 5 H 2 4 8 13 13 15 10 13 8 13 4 8 C 2 4 2 D 3 7 4 0 2 B 0 3 3 Start 0 0 0 A 2 2 4 4 8 0 2 1 4 0 0
  • 21. Example 2 : lisa Sdn Bhd owns a data needed to complete a work on a project in Kulim Kedah Farm. Ask your company Assistant Project Manager to prepare a working paper based on information table Activities Immediate precedence Activities Optimistic Time (month) Most Likely Time Pessimistic time A - 4 5 12 B A 3 4.5 15 C A 2 3 4 D C 6 8 22 E B 4 6 8 F C 3 4 5 G D,E 1.5 3 4.5 H B 5 7 15 I H 3 4 5 J G,I 2 4 6
  • 22. (I) The time required to complete each activity (II) Construct the PERT network for each activity (III) Count ES,EF,LS, and LF (IV) The longest time to complete the project i. The optimistic time (a) ii. The pessimistic time(m) iii. The most likely time(b) t =a+4m+b 6
  • 23. Activities Immediate precedence Activities Optimistic Time (month) Most Likely Time Pessimistic time Expected time A - 4 5 12 6 B A 3 4.5 15 6 C A 2 3 4 3 D C 6 8 22 10 E B 4 6 8 6 F C 3 4 5 4 G D,E 1.5 3 4.5 3 H B 5 7 15 8 I H 3 4 5 4 J G,I 2 4 6 4
  • 24. Answer:Pert diagram and cpm will be show at the whiteboard
  • 25. Advantages of PERT/CPM 1. Especially useful when scheduling and controlling large projects 2. Straightforward concept and not mathematically complex 3. Graphical networks help highlight relationships among project activities 4. Critical path and slack time analyses help pinpoint activities that need to be closely watched
  • 26. Advantages of PERT/CPM 5. Project documentation and graphics point out who is responsible for various activities 6. Applicable to a wide variety of projects 7. Useful in monitoring not only schedules but costs as well
  • 27. Limitations of PERT/CPM 1. Project activities have to be clearly defined, independent, and stable in their relationships 2. Precedence relationships must be specified and networked together 3. Time estimates tend to be subjective and are subject to fudging by managers 4. There is an inherent danger of too much emphasis being placed on the longest, or critical, path