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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.

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  1. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  2. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

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

  4. Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  5. Project Management CPM Example - Music DM, Inc. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  6. 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. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  7. 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. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  8. 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. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  9. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  10. 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. ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  11. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

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

  13. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  14. 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: ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

  15. 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 ___________________________________________________________________________ Quantitative Methods of Management  Jan Fábry

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