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Project Management. ___________________________________________________________________________ Operations Research  Jan Fábry. Project Management. Project. Activity 5. Activity 2. Activity 1. Activity 7. Activity 3. Activity 4. Activity 6.

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  1. Project Management ___________________________________________________________________________ Operations Research  Jan Fábry

  2. Project Management • Project Activity 5 Activity 2 Activity 1 Activity 7 Activity 3 Activity 4 Activity 6 ___________________________________________________________________________ Operations Research  Jan Fábry

  3. Activity 5 Activity 2 Activity 1 Activity 7 Activity 3 Activity 4 Activity 6 Project Management NETWORK – graphical representation of the project Activity  Node ___________________________________________________________________________ Operations Research  Jan Fábry

  4. ACT 4 5 2 ACT 9 ACT 1 ACT 5 ACT 6 ACT 10 6 ACT 2 1 8 3 ACT 7 ACT 3 ACT 11 7 4 ACT 8 6 2 4 1 5 6 2 3 Project Management NETWORK – graphical representation of the project Activity  Arc ___________________________________________________________________________ Operations Research  Jan Fábry

  5. 1 3 2 Start pointof A Finish pointof A Start pointof B Finish pointof B Project Management • Event Activity ADesign a car Activity BMake a prototype ___________________________________________________________________________ Operations Research  Jan Fábry

  6. Activity ADesign a car Activity BMake a prototype 1 3 2 Project Management Activity A immediately PRECEDES activity B Activity B immediately SUCCEEDS activity A ___________________________________________________________________________ Operations Research  Jan Fábry

  7. Activity BMake a prototype 3 Activity ADesign a car 1 2 Activity CComputer presentation 4 Project Management Activity A is the predecessor of Activity B and C ___________________________________________________________________________ Operations Research  Jan Fábry

  8. Activity EPrototype test Activity BMake a prototype 5 3 Activity ADesign a car Dummyactivity 1 2 Activity DPrototype presentation Activity CComputer presentation 4 Project Management Activity E (Prototype test) follows Activity B Activity D(Prototype presentation) follows Activity BandC ___________________________________________________________________________ Operations Research  Jan Fábry

  9. Project Management Activity Requirements - time - money (cost) - material - machines - people ___________________________________________________________________________ Operations Research  Jan Fábry

  10. Planning Network Start and finish times for each activity Finish time of project • Scheduling Periodic progress reports • Controlling Project Management Phases of Project Management ___________________________________________________________________________ Operations Research  Jan Fábry

  11. Critical Path Method (CPM) Program Evaluation Review Technique (PERT) Project Management Methods Deterministic time Probabilistic time ___________________________________________________________________________ Operations Research  Jan Fábry

  12. Project Management CPM ___________________________________________________________________________ Operations Research  Jan Fábry

  13. Project Management CPM • Finish time of the project • Start and finish times of each activity • A critical path consisting of critical activities • Non-critical activities and their possible delay ___________________________________________________________________________ Operations Research  Jan Fábry

  14. Project Management CPM Example - Music DM, Inc. • Christmas compilation of Czech carols • 11 activities: 1) Songs Selection 2) Mastering 3) Promotion Material Elaborating ___________________________________________________________________________ Operations Research  Jan Fábry

  15. Project Management CPM Example - Music DM, Inc. • 11 activities: 4) Customers Analysis 5) Promotion Material Production 6) Make CD Copies 7) Customers Selection ___________________________________________________________________________ Operations Research  Jan Fábry

  16. Project Management CPM Example - Music DM, Inc. • 11 activities: 8) Data to Printing House 9) Promotion Material to Printing House 10) Laser Print 11) Mailing ___________________________________________________________________________ Operations Research  Jan Fábry

  17. Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Operations Research  Jan Fábry

  18. Project Management CPM Example - Music DM, Inc. • All the envelopes have to be delivered until December 12 • Objective: set the starting date of the project ___________________________________________________________________________ Operations Research  Jan Fábry

  19. Project Management CPM Example - Music DM, Inc. Solution - CPM 1) Construct the network 2) Event analysis - forward pass - backward pass 3) Activity analysis - critical activities - noncritical activities ___________________________________________________________________________ Operations Research  Jan Fábry

  20. Project Management CPM Example - Music DM, Inc. 1) Construct the network One start node & one end node Each activity  one arc Two nodes are connected maximally by one arc ___________________________________________________________________________ Operations Research  Jan Fábry

  21. i 2 3 j 3 2 Project Management CPM Example - Music DM, Inc. 1) Construct the network i < j ___________________________________________________________________________ Operations Research  Jan Fábry

  22. Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Operations Research  Jan Fábry

  23. Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Operations Research  Jan Fábry

  24. H K B D2 J A D G I D1 C F E 6 4 3 9 5 7 8 10 2 1 Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Operations Research  Jan Fábry

  25. 12 8 8 9 0 15 7 3 3 0 6 5 4 6 4 3 9 5 7 8 10 2 1 Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Operations Research  Jan Fábry

  26. j ETj Project Management CPM Example - Music DM, Inc. 2) Event analysis - forward pass The earliest event time for a nodeis the earliest time at which all the preceding activities have been completed. ___________________________________________________________________________ Operations Research  Jan Fábry

  27. Project Management CPM Example - Music DM, Inc. 2) Event analysis - forward pass Ascending order: ET1ET2ET3 … ETn The earliest event time for completing a projectis the earliest time of the last event. T = ETn ___________________________________________________________________________ Operations Research  Jan Fábry

  28. i LTi Project Management CPM Example - Music DM, Inc. 2) Event analysis - backward pass The latest event time for a nodeis the latest time at which the event can occur without delaying the determined completion time of the project. ___________________________________________________________________________ Operations Research  Jan Fábry

  29. Project Management CPM Example - Music DM, Inc. 2) Event analysis - backward pass Descending order: LT1LT2LT3 …  LTn The latest event time for completing a project can be set in the planning process or can be considered as the earliest event time for completing a project. LTn = T = ETn or LTn = TPL > T ___________________________________________________________________________ Operations Research  Jan Fábry

  30. i j tij ETi LTi ETj LTj Project Management CPM Example - Music DM, Inc. 3) Activity analysis Total float: ___________________________________________________________________________ Operations Research  Jan Fábry

  31. Project Management CPM Example - Music DM, Inc. 3) Activity analysis Critical activity: TFij = 0 if LTn = T = ETn TFij = TPL - T if LTn = TPL > T Noncritical activity: TFij > 0 if LTn = T = ETn TFij > TPL - T if LTn = TPL > T ___________________________________________________________________________ Operations Research  Jan Fábry

  32. H K B D2 J A D G I D1 C F E 8 4 3 7 6 9 5 10 2 1 Project Management CPM Example - Music DM, Inc. 3) Activity analysis Critical path: ___________________________________________________________________________ Operations Research  Jan Fábry

  33. Project Management CPM Example - Music DM, Inc. 3) Activity analysis Noncritical activity 1) Start of the activity can be postponed 2) Duration of the activity can be extended 3) Combination of 1 and 2 ___________________________________________________________________________ Operations Research  Jan Fábry

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