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Project Management CPM/PERT
What exactly is a project? PM 1 – I’m in charge of the construction of a retail development in the centre of a large town. There are 26 retail units and a super market in the complex. My main responsibilities are to co-ordinate the work of the various contractors to ensure that the project is completed to specification, within budget and on time. PM 2 – I am directing a team of research scientists. We are running trials on a new analgesic drug on behalf of a pharmaceutical company. It is my responsibility to design the experiments and make sure that proper scientific and legal procedures are followed, so that our results can be subjected to independent statistical analysis. PM 3- The international aid agency which employs me is sending me to New Delhi to organize the introduction of multimedia resources at a teachers’ training college. My role is quite complex. I have to make sure that appropriate resources are purchased- and in some cases developed within the college. I also have to encourage the acceptance of these resources by lecturers and students within the college.
Project is not defined by the type of outcome it is set up to achieve PM 2 – I am directing a team of research scientists. We are running trials on a new analgesic drug on behalf of a pharmaceutical company. It is my responsibility to design the experiments and make sure that proper scientific and legal procedures are followed, so that our results can be subjected to independent statistical analysis. A new drug PM 3- The international aid agency which employs me is sending me to New Delhi to organize the introduction of multimedia resources at a teachers’ training college. My role is quite complex. I have to make sure that appropriate resources are purchased- and in some cases developed within the college. I also have to encourage the acceptance of these resources by lecturers and students within the college. A new method of teaching students PM 1 – I’m in charge of the construction of a retail development in the centre of a large town. There are 26 retail units and a super market in the complex. My main responsibilities are to co-ordinate the work of the various contractors to ensure that the project is completed to specification, within budget and on time. A shopping complex
Characteristic of  a project ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Project
Examples ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
What is project management ,[object Object],[object Object],[object Object]
Project Management Process ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Work breakdown structure ,[object Object],[object Object],[object Object],[object Object],[object Object]
Work Breakdown Structure for Computer Order Processing System Project
Project Planning  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Project Scheduling and Control Techniques Gantt Chart Critical Path Method (CPM) Program Evaluation and Review Technique (PERT)
[object Object],[object Object],Gantt Chart
History of CPM/PERT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Project Network ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Project Network
AOA Project Network for House AON Project Network for House 3 2 0 1 3 1 1 1 1 2 4 6 7 3 5 Lay foundation Design house and obtain financing Order and receive materials Dummy Finish work Select carpet Select paint Build house 1 3 2 2 4 3 3 1 5 1 6 1 7 1 Start Design house and obtain financing Order and receive materials Select paint Select carpet Lay foundations Build house Finish work
Situations in network diagram A must finish before either B or C can start both A and B must finish before C can start both A and C must finish before either of B or D can start A must finish before B can start both A and C must finish before D can start A B C A B C D C B A A C B D Dummy
 
Network example Illustration of network analysis of a minor redesign of a product and its associated packaging. The key question is:  How long will it take to complete this project ?
For clarity, this list is kept to a minimum by specifying only immediate relationships, that is relationships involving activities that " occur near to each other in time".
Questions to prepare activity network ,[object Object],[object Object],[object Object],[object Object],[object Object]
CPM calculation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Forward Pass ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Backward Pass
CPM analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CPM Example:  ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5 5 14  8  21  6  23  6 21
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5 5 14  8  21  21 33 6  23  21  30  23  29 6 21  Project’s EF = 33
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5 5 14  8  21  21 33 6  23  21  30  23  29 6 21  21 33 27 33 24  33
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5 5 14  8  21  21 33 6  23  21  30  23  29 6 21  4  10  0 8 7 12  12  21  21 33 27 33 8  21  10  27  24  33  18  24
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12 0 6 0 8 0 5 5 14  8  21  21 33 6  23  21  30  23  29 6 21  3  9  0 8 7 12  12  21  21 33 27 33 8  21  10  27  24  33  9  24  3 4  3 3  4  0 0 7 7 0
CPM Example ,[object Object],a, 6 f, 15 b, 8 c, 5 e, 9 d, 13 g, 17 h, 9 i, 6 j, 12
PERT  ,[object Object],[object Object],[object Object],[object Object],[object Object],Mean (expected time):   t e  = t p  + 4  t m  +  t o 6 Variance: V t  =   2  = t p  -  t o 6 2
PERT analysis ,[object Object],[object Object],[object Object],[object Object],[object Object]
Probability computation Determine probability that project is completed within specified time where    = t p  = project mean time      = project standard mean time x = (proposed ) specified time  Z =  x -   
 
PERT Example  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Example A D C B F E G I H K J PERT Network
PERT Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PERT Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
PROJECT COST
Cost consideration in project ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Project Crashing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Activity crashing Slope = crash cost per unit time Activity cost Activity time Crashing activity Crash time Crash cost Normal Activity Normal time Normal cost
Time-Cost Relationship ,[object Object],[object Object],[object Object],Time-Cost Tradeoff  cost time Direct cost Indirect cost Total project cost Min total cost = optimal project time
Project Crashing example 1 12 2 8 4 12 3 4 5 4 6 4 7 4
Time Cost data 110700 75000 400 500 3000 7000 200 200 7000 5 3 1 3 3 3 1 5000 3500 7000 71000 1100 1100 22000 7 5 3 9 1 1 3 3000 2000 4000 50000 500 500 1500 12 8 4 12 4 4 4 1 2 3 4 5 6 7 slope Allowable crash time Crash cost Rs Crash time Normal cost Rs Normal time Activity
From….. To….. 1 12 2 8 3 4 5 4 6 4 7 4 R400 R500 R3000 R7000 R200 R200 R700 12 4 Project duration = 36 1 7 2 8 3 4 5 4 6 4 7 4 R400 R500 R3000 R7000 R200 R200 R700 12 4 Project  duration = 31 Additional cost = R2000
Benefits of CPM/PERT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],CPM/PERT can answer the following important questions:
Limitations to CPM/PERT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],To overcome the limitation, Monte Carlo simulations can be performed on the network to eliminate the optimistic bias
Computer Software  for Project Management ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Practice Example A social project manager is faced with a project with the following activities: Draw network diagram and show the critical path. Calculate project duration. 4w Carry out immunization of under fives 15w Establish rural credit programme 14w Establish mother & child health program 5w Analyse results of survey 12w Social research team to do survey 5w Social work team to live in village Duration Activity Description
Practice problem 4w Carry out immunization of under fives 4-5 15w Establish rural credit programme 3-5 14w Establish mother & child health program 2-4 5w Analyse results of survey 3-4 12w Social research team to do survey 1-3 5w Social work team to live in village 1-2 Duration Description Activity 3 1 2 4 5

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Pert & Cpm

  • 2. What exactly is a project? PM 1 – I’m in charge of the construction of a retail development in the centre of a large town. There are 26 retail units and a super market in the complex. My main responsibilities are to co-ordinate the work of the various contractors to ensure that the project is completed to specification, within budget and on time. PM 2 – I am directing a team of research scientists. We are running trials on a new analgesic drug on behalf of a pharmaceutical company. It is my responsibility to design the experiments and make sure that proper scientific and legal procedures are followed, so that our results can be subjected to independent statistical analysis. PM 3- The international aid agency which employs me is sending me to New Delhi to organize the introduction of multimedia resources at a teachers’ training college. My role is quite complex. I have to make sure that appropriate resources are purchased- and in some cases developed within the college. I also have to encourage the acceptance of these resources by lecturers and students within the college.
  • 3. Project is not defined by the type of outcome it is set up to achieve PM 2 – I am directing a team of research scientists. We are running trials on a new analgesic drug on behalf of a pharmaceutical company. It is my responsibility to design the experiments and make sure that proper scientific and legal procedures are followed, so that our results can be subjected to independent statistical analysis. A new drug PM 3- The international aid agency which employs me is sending me to New Delhi to organize the introduction of multimedia resources at a teachers’ training college. My role is quite complex. I have to make sure that appropriate resources are purchased- and in some cases developed within the college. I also have to encourage the acceptance of these resources by lecturers and students within the college. A new method of teaching students PM 1 – I’m in charge of the construction of a retail development in the centre of a large town. There are 26 retail units and a super market in the complex. My main responsibilities are to co-ordinate the work of the various contractors to ensure that the project is completed to specification, within budget and on time. A shopping complex
  • 4.
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  • 9. Work Breakdown Structure for Computer Order Processing System Project
  • 10.
  • 11. Project Scheduling and Control Techniques Gantt Chart Critical Path Method (CPM) Program Evaluation and Review Technique (PERT)
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  • 16. AOA Project Network for House AON Project Network for House 3 2 0 1 3 1 1 1 1 2 4 6 7 3 5 Lay foundation Design house and obtain financing Order and receive materials Dummy Finish work Select carpet Select paint Build house 1 3 2 2 4 3 3 1 5 1 6 1 7 1 Start Design house and obtain financing Order and receive materials Select paint Select carpet Lay foundations Build house Finish work
  • 17. Situations in network diagram A must finish before either B or C can start both A and B must finish before C can start both A and C must finish before either of B or D can start A must finish before B can start both A and C must finish before D can start A B C A B C D C B A A C B D Dummy
  • 18.  
  • 19. Network example Illustration of network analysis of a minor redesign of a product and its associated packaging. The key question is: How long will it take to complete this project ?
  • 20. For clarity, this list is kept to a minimum by specifying only immediate relationships, that is relationships involving activities that " occur near to each other in time".
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  • 35. Probability computation Determine probability that project is completed within specified time where  = t p = project mean time  = project standard mean time x = (proposed ) specified time Z = x -  
  • 36.  
  • 37.
  • 38. PERT Example A D C B F E G I H K J PERT Network
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  • 45. Activity crashing Slope = crash cost per unit time Activity cost Activity time Crashing activity Crash time Crash cost Normal Activity Normal time Normal cost
  • 46.
  • 47. Project Crashing example 1 12 2 8 4 12 3 4 5 4 6 4 7 4
  • 48. Time Cost data 110700 75000 400 500 3000 7000 200 200 7000 5 3 1 3 3 3 1 5000 3500 7000 71000 1100 1100 22000 7 5 3 9 1 1 3 3000 2000 4000 50000 500 500 1500 12 8 4 12 4 4 4 1 2 3 4 5 6 7 slope Allowable crash time Crash cost Rs Crash time Normal cost Rs Normal time Activity
  • 49. From….. To….. 1 12 2 8 3 4 5 4 6 4 7 4 R400 R500 R3000 R7000 R200 R200 R700 12 4 Project duration = 36 1 7 2 8 3 4 5 4 6 4 7 4 R400 R500 R3000 R7000 R200 R200 R700 12 4 Project duration = 31 Additional cost = R2000
  • 50.
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  • 53. Practice Example A social project manager is faced with a project with the following activities: Draw network diagram and show the critical path. Calculate project duration. 4w Carry out immunization of under fives 15w Establish rural credit programme 14w Establish mother & child health program 5w Analyse results of survey 12w Social research team to do survey 5w Social work team to live in village Duration Activity Description
  • 54. Practice problem 4w Carry out immunization of under fives 4-5 15w Establish rural credit programme 3-5 14w Establish mother & child health program 2-4 5w Analyse results of survey 3-4 12w Social research team to do survey 1-3 5w Social work team to live in village 1-2 Duration Description Activity 3 1 2 4 5