Project Management Session 4C: Scheduling Preview Project network diagrams Loading charts Resource-constrained projects E7.1 Project Network Diagrams Information: Table below. ID Activity Duration Predecessors A1 Clear site 10 days None A2 Level playing field 20 days A1 A3 Construct upper steel bowl 20 days A1 A4 Install playing field 20 days A2 A5 Install roof 10 days A3 A6 Inspection 5 days A4, A5 Requirements 1: Define early start and early finish for A2. Define late start and late finish for A5. Define float for A2. Example: LS for A6 = LF for A5 Requirements 2: Given the information above, construct a project network diagram. What is the critical path? The target duration is 50 days. Can it be completed on time? Project Network Diagrams Early start (ES) for A2 is early finish (EF) for A1 EF A2 is ES for A2 plus duration for A2 Late finish (LF) for A5 is late start (LS) for A6 LS for A5 is LF for A5 minus duration Float for A2 is LS for A2 minus ES for A2 10 0 A2 10 20 30 30 A4 50 20 50 0 30 30 0 0 A1 10 50 0 A6 55 0 10 10 50 5 55 10 A3 30 30 10 A5 40 20 40 40 10 50 10 20 The critical path is A1 A2 A4 A6. The project cannot be completed on time. E7.2 Loading Charts From the network plan on the following slide: Compute the early start, late start and slack times. Develop a loading chart for Carpenters (C) and Electricians (E), taking into account that only one carpenter and two electricians are available. After making adjustments required by your resource schedule, recompute the early, late and slack times for the project. Which activities are now critical? What is the new project duration? 3 0 A1 0 3 4 7 7 A4 1E 7 0 7 3 10 ES 3 0 10 1C 2 3 1 1C 4 Carpenter A3 4 1 5 1 1 1 +1 5 5 2 3 4 9 10 1 1 1 2 2 5 6 7 1 2 +1 2+1 8 9 12 3 3 0 3 3 7 7 0 3 4 4 5 1 7 7 10 10 0 4 5 9 10 1 10 10 12 13 14 1 11 0 A4-E 2E 2 1 1 Electricians A5 1 Electricians Carpenter 4 12 0 A2-C 12 SL A3-C A6 LF A6-C 10 EF A5-2E 3 LS A1-C 10 1C 0 1C 3 0 A2 1 10 12 0 E7.3 Resource-Constrained Schedules Information You have prepared the schedule in the following slide for a project in which the key resource is a tractor. There are three tractors available to the project. A1 and A4 require one tractor to complete while A2, A3, A5 and A6 require two tractors: Information Develop a resource-constrained schedule in the loading chart. Use the parallel method and heuristics given. Compute the early start, late finish and slack for the new schedule. 4 0 1 1 0 0 0 8 2 A3 2T A1 4 6 4 10 1T 4 5 5 0 A4 1T 10 A2 5 5 5 10 2T 5 5 5 2 A5 8 7 3 2t 10 Heuristics Minimum slack Shortest duration Lowest ID 10 0 A6 10 2 12 2T 12 ID Res Dur A1 1 4 A2 2 5 A3 2 4 A4 1 5 A5 2 3 A6 2 ES LF SL 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Resources schedules Resources available