_PERT_CPM_1_L3.pdf - PERT/CPM Models for Project Management 8.1 Project Management • Characteristics of Projects – – – – • Unique one-time

_PERT_CPM_1_L3.pdf - PERT/CPM Models for Project Management...

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8.1 PERT/CPM Models for Project Management
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8.2 Project Management Characteristics of Projects Unique, one-time operations Involve a large number of activities that must be planned and coordinated Long time-horizon Goals of meeting completion deadlines and budgets Examples Building a house Planning a meeting Introducing a new product PERT Project Evaluation and Review Technique CPM Critical Path Method A graphical or network approach for planning and coordinating large-scale projects.
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8.3 Example: Building a House Activity Time (Days) Immediate Predecessor Foundation 4 Framing 10 Foundation Plumbing 9 Framing Electrical 6 Framing Wall Board 8 Plumbing, Electrical Siding 16 Framing Paint Interior 5 Wall Board Paint Exterior 9 Siding Fixtures 6 Int. Paint, Ext. Paint
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8.4 Gantt Chart Foundation Framing Plumbing Electrical Siding Wall Board Paint Interior Paint Exterior Fixtures Activity Start 5 10 15 20 25 30 35 40 45 50 Days After Start Days After Start Start 5 10 15 20 25 30 35 40 45 50
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8.5 PERT and CPM Procedure 1. Determine the sequence of activities. 2. Construct the network or precedence diagram. 3. Starting from the left, compute the Early Start (ES) and Early Finish (EF) time for each activity. 4. Starting from the right, compute the Late Finish (LF) and Late Start (LS) time for each activity. 5. Find the slack for each activity. 6. Identify the Critical Path.
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8.6 Notation t Duration of an activity ES The earliest time an activity can start EF The earliest time an activity can finish ( EF = ES + t ) LS The latest time an activity can start and not delay the project LF The latest time an activity can finish and not delay the project Slack The extra time that could be made available to an activity without delaying the project ( Slack = LS ES ) Critical Path The sequence(s) of activities with no slack
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8.7 PERT/CPM Project Network START FINISH d c f e h g i b a 0 0 Foundation Framing Siding Paint Exterior Plumbing Wall Board Paint Interior Fixtures Electrical 4 10 9 6 16 8 5 9 6
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8.8 Calculation of ES, EF, LF, LS, and Slack GOING FORWARD ES = Maximum of EF ’s for all predecessors EF = ES + t GOING BACKWARD LF = Minimum of LS for all successors LS = LF t Slack = LS ES = LF EF
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8.9 Building a House: ES, EF, LS, LF, Slack Activity ES EF LS LF Slack (a) Foundation 0 4 0 4 0 (b) Framing 4 14 4 14 0 (c) Plumbing 14 23 17 26 3 (d) Electrical 14 20 20 26 6 (e) Wall Board 23 31 26 34 3 (f) Siding 14 30 14 30 0 (g) Paint Interior 31 36 34 39 3 (h) Paint Exterior 30 39 30 39 0 (i) Fixtures 39 45 39 45 0
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8.10 PERT/CPM Project Network START 0 FINISH 0 a b c d e f h g i j 4 4 4 5 5 5 3 3 7 8
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8.11 Example #2: ES, EF, LS, LF, Slack Activity ES EF LS LF Slack a 0 4 0 4 0 b 0 4 1 5 1 c 4 7 5 8 1 d 4 8 4 8 0 e 4 12 5 13 1 f 4 11 6 13 2 g 8 13 8 13 0 h 8 11 10 13 2 i 13 18 13 18 0 j 11 16 13 18 2
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8.12 Reliable Construction Company Project The Reliable Construction Company has just made the winning bid of $5.4 million to construct a new plant for a major manufacturer.
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