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PROJECT MANAGEMENT
 CPM & PERT TECHNIQUES
FLOW OF PRESENTATION




 INTRODUCTION
 NETWORK PLANNING
 ESTIMATING TIME
 CPM
 PERT
Project Management



Project
• A project is an interrelated set of activities that has a definite
   starting and ending point and that results in a unique product
   or service.

Project management
• Project management is a scientific way of planning, implementing,
   monitoring & controlling the various aspects of a project such as time,
   money, materials, manpower & other resources.
Network Planning Methods



    Methods used for network planning are:
       CPM
       PERT

    Managing a project with network planning methods involves four steps:

1.   Describing the Project.
2.   Diagramming the Network.
3.   Estimating time of completion.
4.   Monitoring Project Progress.
Network Diagram



Concepts
• Activity
• Precedence relationship
• Successor
• Event
Guidelines for network diagram




1.   Before an activity can begin, its preceding
     activities must be completed.
2.   Arrows indicate logical precedence.
3.   Flow of the diagram is from left to right.
4.   Arrows should not intersect.
5.   Dangling should be avoided.
APPRAOCHES FOR
                                   NETWORK DIAGRAM



ACTIVITY ON ARC(AOA):
• Uses arcs to represent activities and nodes
  to represent events.
• It is Event Oriented.
                     3



         1     2                    6     7     8




                         4   5
DUMMY ACTIVITY

    AOA approach requires the addition of a                Dummy
    Activity to clarify the precedence relationships     between
    the two activities. It is a zero time activity and
    consumes no resources.

Dummy Activity is used in two situations:
1) When two or more activities start and end at the same
   nodes
                                 1             3



                                           2
2) When two or more activities share the same
   precedence activity but not all the precedence are
   shared.

                 1       3       5

                                           7

                 2       4           6
ACTIVITY ON NODE(AON):


Uses nodes to represent activities and arcs indicate
precedence relationships between       them.
It is Activity Oriented.
ESTIMATING TIME
                                                      OF
                                                  COMPLETION

Planning the schedule of the project

Time estimates include:
1)   Total time for completion.
2)    ES- Earliest start time: the earliest time at which the activity
     can start given that its precedent activities must be completed first.

3)   EF-Earliest finish time: equals to the earliest start time for the activity
     plus the time required to complete the activity.

4)   LF- Latest finish time: the latest time in which the activity can be
     completed without delaying the project.

5)   LS- Latest start time: equal to the latest finish time minus the time
     required to complete the activity.
6)   FORWARD PASS:
     The early start and early finish times are calculated by
     moving forward through the network and considering the
     predecessor activities Considers maximum

7)   BACKWARD PASS:
     The latest start and finish times are calculated by moving backward through the
     network.
     Considers minimum

8)   SLACK TIME:
     Slack time for an activity is the difference between its earliest and latest start
     time or between the earliest and latest finish time.
     Critical path is the path of activities having zero Slack time.
A Simple Project




Activity    Immediate      Expected
           Predecessor       Time
   A            -              5
   B            -             6
   C           A              4
   D          A, B            2
Precedence Diagram
ES      Earliest Starting (time)
EF      Earliest Finishing
LS      Latest Starting
LF      Latest Finishing
Slack   Difference Time
Pert & cpm   project management
CRITICAL PATH
                                         METHODS(CPM)

HISTORY :
  It was developed by J.E.KELLY of REMINGTON-RAND
  and M.R.WALKER of DU PONT and the emphasis was
  on the trade-off between the cost of project and its overall
  completion time. The first test was made in 1958,when CPM
  was applied to the construction of a new chemical plant.

DEFINITION:
  Critical path is the sequence of activities between a project’s
  start and finish that takes the longest time to complete.
STEPS IN DETERMINING
                                      CRITICAL PATH


• Specify the individual activities.

• Determine the sequence of the activities.

• Draw the network diagram.

• Estimate the activity completion time.

• Identify the critical path.

• Update the CPM diagram.
Activit Preceden Normal time   Normal
y       ce       (week)        Cost (Rs)


A         -            3       300
B         A            3       30
C         A            7       420
D         A            9       720
E         D            5       250
F       B,C,E          6       320
G         F            4       400
H         F           13       780
I         G           10       1000
Total                          4220
4           7




1   2       5   6




        3
                    8
Overhead cost as per the given data- Rs.50
Paths in the network diagram :
A-D-F-G-I = 32
A-D-F-H = 31
A-C-F-H = 29
A-C-F-G-I = 30
A-B-E-F-H = 30
A-B-E-F-G-I = 31
Critical path – A-D-F-G-I = 32
             4             7




  1      2             6
                 5


             3
                           8
TIME ESTIMATES


o Optimistic time (to) – It is the shortest time     in which the
   activity can be completed.
o Most likely time (tm) – It is the probable time
   required to perform the activity.
o Pessimistic time (tp) – It is the longest estimated time
   required to perform an activity.
o Expected time
  te = to + 4tm + tp
                6
STEPS IN PERT

1.   Identify the specific activities.

2.   Determine proper sequence of the activities.

3.   Construct the network diagram.

4.   Estimate the time required for each activity.

5.   Determine the critical path.

6.   Update the PERT chart.
Activity   Descrip Preced    Optimis Most      Pessimi Expecte
           tion    ence      tic time Likely   stic    d time
                                      time     time

A          Initial      -      12       16       26      17
           design
B          Survey      A        6        9       18      10
           market
C          Build       A        8       10       18      11
           prototype
D          Test        C        2        3       4       3
           prototype
E          Redesign    B,D      3        4       11      5
           ing
F          Market      E        6        8       10      8
           testing
G          Set up      F       15       20       25      20
           productio
           n
1   2       4      5      6       7




        3


                 A-B-E-F-G = 60
        A-C-D-E-F-G = 64 (CRITICAL PATH)
Advantages of PERT


• Expected project completion time.

• Probability of completion before a specified date.

• The critical path activities that directly impact the completion
  time.

• The activities that have slack time and that can lend resources
  to critical path activities.

• Activity start and end dates.
LIMITATIONS

• The PERT Formula Requires Too Much Work.
• The network charts tend to be large and unwieldy.
• Calculating the time estimates is very complex for all the
  activities.
• Updating of the project is time consuming and requires high
  costs.
• Emphasis is laid only on time factors and cost factors are
  neglected.
Difference between
                                            CPM & PERT

               CPM                                  PERT
• CPM works with fixed               • PERT works with probabilistic
deterministic time                   time
• CPM is useful for repetitive and   • PERT is useful for non repetitive
non complex projects with a          and complex projects with
certain degree of time estimates.    uncertain time estimates.

• CPM includes time-cost trade off. • PERT is restricted to time
                                     variable.

• CPM- for construction projects.    • PERT- used for R&D programs.
Thank You…

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Pert & cpm project management

  • 1. PROJECT MANAGEMENT CPM & PERT TECHNIQUES
  • 2. FLOW OF PRESENTATION  INTRODUCTION  NETWORK PLANNING  ESTIMATING TIME  CPM  PERT
  • 3. Project Management Project • A project is an interrelated set of activities that has a definite starting and ending point and that results in a unique product or service. Project management • Project management is a scientific way of planning, implementing, monitoring & controlling the various aspects of a project such as time, money, materials, manpower & other resources.
  • 4. Network Planning Methods  Methods used for network planning are: CPM PERT  Managing a project with network planning methods involves four steps: 1. Describing the Project. 2. Diagramming the Network. 3. Estimating time of completion. 4. Monitoring Project Progress.
  • 5. Network Diagram Concepts • Activity • Precedence relationship • Successor • Event
  • 6. Guidelines for network diagram 1. Before an activity can begin, its preceding activities must be completed. 2. Arrows indicate logical precedence. 3. Flow of the diagram is from left to right. 4. Arrows should not intersect. 5. Dangling should be avoided.
  • 7. APPRAOCHES FOR NETWORK DIAGRAM ACTIVITY ON ARC(AOA): • Uses arcs to represent activities and nodes to represent events. • It is Event Oriented. 3 1 2 6 7 8 4 5
  • 8. DUMMY ACTIVITY AOA approach requires the addition of a Dummy Activity to clarify the precedence relationships between the two activities. It is a zero time activity and consumes no resources. Dummy Activity is used in two situations: 1) When two or more activities start and end at the same nodes 1 3 2
  • 9. 2) When two or more activities share the same precedence activity but not all the precedence are shared. 1 3 5 7 2 4 6
  • 10. ACTIVITY ON NODE(AON): Uses nodes to represent activities and arcs indicate precedence relationships between them. It is Activity Oriented.
  • 11. ESTIMATING TIME OF COMPLETION Planning the schedule of the project Time estimates include: 1) Total time for completion. 2) ES- Earliest start time: the earliest time at which the activity can start given that its precedent activities must be completed first. 3) EF-Earliest finish time: equals to the earliest start time for the activity plus the time required to complete the activity. 4) LF- Latest finish time: the latest time in which the activity can be completed without delaying the project. 5) LS- Latest start time: equal to the latest finish time minus the time required to complete the activity.
  • 12. 6) FORWARD PASS: The early start and early finish times are calculated by moving forward through the network and considering the predecessor activities Considers maximum 7) BACKWARD PASS: The latest start and finish times are calculated by moving backward through the network. Considers minimum 8) SLACK TIME: Slack time for an activity is the difference between its earliest and latest start time or between the earliest and latest finish time. Critical path is the path of activities having zero Slack time.
  • 13. A Simple Project Activity Immediate Expected Predecessor Time A - 5 B - 6 C A 4 D A, B 2
  • 15. ES Earliest Starting (time) EF Earliest Finishing LS Latest Starting LF Latest Finishing Slack Difference Time
  • 17. CRITICAL PATH METHODS(CPM) HISTORY : It was developed by J.E.KELLY of REMINGTON-RAND and M.R.WALKER of DU PONT and the emphasis was on the trade-off between the cost of project and its overall completion time. The first test was made in 1958,when CPM was applied to the construction of a new chemical plant. DEFINITION: Critical path is the sequence of activities between a project’s start and finish that takes the longest time to complete.
  • 18. STEPS IN DETERMINING CRITICAL PATH • Specify the individual activities. • Determine the sequence of the activities. • Draw the network diagram. • Estimate the activity completion time. • Identify the critical path. • Update the CPM diagram.
  • 19. Activit Preceden Normal time Normal y ce (week) Cost (Rs) A - 3 300 B A 3 30 C A 7 420 D A 9 720 E D 5 250 F B,C,E 6 320 G F 4 400 H F 13 780 I G 10 1000 Total 4220
  • 20. 4 7 1 2 5 6 3 8
  • 21. Overhead cost as per the given data- Rs.50 Paths in the network diagram : A-D-F-G-I = 32 A-D-F-H = 31 A-C-F-H = 29 A-C-F-G-I = 30 A-B-E-F-H = 30 A-B-E-F-G-I = 31
  • 22. Critical path – A-D-F-G-I = 32 4 7 1 2 6 5 3 8
  • 23. TIME ESTIMATES o Optimistic time (to) – It is the shortest time in which the activity can be completed. o Most likely time (tm) – It is the probable time required to perform the activity. o Pessimistic time (tp) – It is the longest estimated time required to perform an activity. o Expected time te = to + 4tm + tp 6
  • 24. STEPS IN PERT 1. Identify the specific activities. 2. Determine proper sequence of the activities. 3. Construct the network diagram. 4. Estimate the time required for each activity. 5. Determine the critical path. 6. Update the PERT chart.
  • 25. Activity Descrip Preced Optimis Most Pessimi Expecte tion ence tic time Likely stic d time time time A Initial - 12 16 26 17 design B Survey A 6 9 18 10 market C Build A 8 10 18 11 prototype D Test C 2 3 4 3 prototype E Redesign B,D 3 4 11 5 ing F Market E 6 8 10 8 testing G Set up F 15 20 25 20 productio n
  • 26. 1 2 4 5 6 7 3 A-B-E-F-G = 60 A-C-D-E-F-G = 64 (CRITICAL PATH)
  • 27. Advantages of PERT • Expected project completion time. • Probability of completion before a specified date. • The critical path activities that directly impact the completion time. • The activities that have slack time and that can lend resources to critical path activities. • Activity start and end dates.
  • 28. LIMITATIONS • The PERT Formula Requires Too Much Work. • The network charts tend to be large and unwieldy. • Calculating the time estimates is very complex for all the activities. • Updating of the project is time consuming and requires high costs. • Emphasis is laid only on time factors and cost factors are neglected.
  • 29. Difference between CPM & PERT CPM PERT • CPM works with fixed • PERT works with probabilistic deterministic time time • CPM is useful for repetitive and • PERT is useful for non repetitive non complex projects with a and complex projects with certain degree of time estimates. uncertain time estimates. • CPM includes time-cost trade off. • PERT is restricted to time variable. • CPM- for construction projects. • PERT- used for R&D programs.