Second Edition. Mantel, Meredith, Shafer, and Sutton. John Wiley and Sons, Inc. Prepared by Scott M. Shafer. Copyright 2005 John Wiley & Sons, Inc.
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1 Project Management in Practice Second Edition Mantel, Meredith, Shafer, and Sutton Prepared by Scott M. Shafer Wake Forest University John Wiley and Sons, 5-1
2 Chapter 5 Scheduling the Project 5-2
3 PERT AND CPM NETWORKS 5-3
4 Tarihçe 1950 lerin sonlarında Program Evaluation and dreview Technique (PERT) Program değerlendirme ve gözden geçirme tekniği U.S. Navy, Booz-Allen Hamilton, and Lockeheed Aircraft Probabilistic faaliyet süreleri Critical Path Method (CPM) Kritik yol yöntemi Dupont De Nemours Deterministic faaliyet süreleri 5-4
5 PERT/CPM terminolojisi i Activity Faaliyet-İşlem Görev veya görevler seti Kaynak kullanır Event- Olay- Düğüm Bir yada daha fazla faaliyetin tamamlanması durumu Kaynak ya da zaman kullanmaz Öncel(öncül) faaliyetler tamamlanmalı 5-5
6 PERT/CPM terminolojisi Milestones- kilometre taşları events that mark significant ifi progress Network Ağ-Serimğ diagram of nodes and arcs used to illustrate technological relationships Path -Yol series of connected activities between two events 5-6
7 PERT/CPM Critical Path Kritik Yol set of activities i i on a path that if delayed d will delay completion of project Critical Time Kritik süre- Proje tamamlanma süresi time required to complete all activities on the critical path 5-7
8 Network- Ağı oluşturma AOA (Activity 0n Arc) Network (faaliyetlerin oklarla gösterimi AON(Activity on Node) Network (faaliyetlerin düğümlerle gösterimi) 5-8
9 Table 5-1 A Sample Set of Project Activities and Precedences Task Predecessor a -- b -- c d e f g a b b c, d e 5-9
10 Figure 5-1 Stage 1 of a Sample AON Network 5-10
11 Figure 5-2 Stage 2 of a Sample AON Network 5-11
12 Figure 5-3 A Completed Sample AON Network 5-12
13 Figure 5-4 Stage 1 of a Sample AOA Network 5-13
14 Figure 5-55 Stage 2 of a Sample AOA Network 5-14
15 Figure 5-6a A Completed Sample AOA Network 5-15
16 Figure 5-6b A Completed Sample AOA Network Showing the Use of a Dummy Task 5-16
17 Table 5-2 A Sample Problem for Finding the Critical Path and Critical Time Activity Predecessor Duration a -- 5 days b -- 4 c a 3 d a 4 e a 6 f b, c 4 g d 5 h d, e 6 i f 6 j g, h
18 Figure 5-7 Stage 1 of a Sample Network 5-18
19 Figure 5-8AC Complete Network 5-19
20 Figure 5-9 Information Contents in an AON Node 5-20
21 Figure 5-10 The Critical Path and Time for Sample Project 5-21
22 Faaliyetlerin Boşluk Sürelerini Hesaplama Slack or Float LST - EST = LFT - EFT = Slack (boşluk) 5-22
23 Figure 5-11 An MSP Version of PERT/CPM Network 5-23
24 Figure 5-12 A Modified Version of MSP Network 5-24
25 PROJECT UNCERTAINTY AND RISK MANAGEMENT 5-25
26 Calculating Probabilistic Activity Times Three Time Estimates Pessimistic i i (kötümser) (b) most likely(en olası)(m) Optimistic(iyimser) (a) 5-26
27 Figure 5-13 The Statistical Distribution of all Possible Times for an Activity (beta dağılımı) 5-27
28 Activity Expected Time and Variance T E = ( a + 4m 6 + b) σ = ( b 6 a) Var = σ 2 ( b a ) =
29 95 Percent Level Task will be a or lower 5 percent of the time Task will be b or greater 5 percent of the time σ = (b b a) )
30 90 Percent Level Task will be a or lower 10 percent of the time Task will be b or greater 10 percent of the time σ = (b b a) )
31 95 Percent Level (Alternative Interpretation) Task will be between a and b 95 percent of the time σ = ( b a)
32 90 Percent Level (Alternative Interpretation) Task will be between a and b 90 percent of the time σ = ( b a)
33 Figure 5-14 An AON Network 5-33
34 Figure 5-15 An MSP Version of a Sample Problem Network 5-34
35 Figure 5-16 A Pert/CPM Network for the Day Care Project 5-35
36 Figure 5-17 An MSP Calendar for the Day Care Project, 4/16/00 to 5/27/
37 The Probability of Completing the Project on Time Z (D ) = D μ σ 2 μ =NORMDIST(D,μ,σμ σ μ,true) 5-37
38 Figure 5-18 The Statistical Distribution of Completion Times of the Path a-b-d-g-h 5-38
39 Sl Selecting Risk ikand Finding idi D D = μ + 2 σ = μ Z σ μ NORMINV(probability,μ,σ μ,true) 5-39
40 SIMULATION 5-40
41 Traditional Statistics Versus Simulation Similarities must enumerate alternate paths Differences simulation does not require assumption of path independence 5-41
42 THE GANNT CHART 5-42
43 Figure 5-23 A Gantt Chart of a Sample Project 5-43
44 Figure 5-24 A Gantt Chart of Sample Project Showing Critical Path, Path Connections, Slack, EST, LST, EFT, and LFT 5-44
45 Figure 5-25 A Gantt Chart of a Day Care Project Showing Expected Durations, Critical Path, Milestone, and Resource Requirements 5-45
46 Figure 5-26 A Progress Report on a Day Care Project Showing Actual Progress Versus Baseline 5-46
47 EXTENSIONS TO PERT/CPM 5-47
48 Precedence Diagramming i Finish-to-start linkage Start-to-start linkage Finish-to-finish linkage Start-to-finish linkage 5-48
49 Figure 5-27 Precedence Diagramming Conventions 5-49
50 Oh Other Methods Graphical Evaluation and Review Technique e (GERT) combines flowgraphs, probabilistic networks, and decision trees allows loops back to earlier events and probabilistic branching 5-50
51 Copyright Copyright 2005 John Wiley & Sons, All rights reserved. Reproduction or translation of this work beyond that permitted in Section 117 of the 1976 United States Copyright Act without express permission of the copyright owner is unlawful. Request for further information should be addressed to the Permissions Department, John Wiley & Sons, The purchaser may make backup copies for his/her own use only and not for distribution or resale. The Publisher assumes no responsibility for errors, omissions, or damages, caused by the use of these programs or from the use of the information herein. 5-51
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