16. Example of Gantt Chart 9- | | | | | Activity Design house and obtain financing Lay foundation Order and receive materials Build house Select paint Select carpet Finish work 0 2 4 6 8 10 Month Month 1 3 5 7 9
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21. AOA Project Network for a House 9- 3 2 0 1 3 1 1 1 1 2 4 6 7 3 5 Lay foundation Design house and obtain financing Order and receive materials Dummy Finish work Select carpet Select paint Build house
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23. AON Network for House Building Project 9- 1 3 2 2 4 3 3 1 5 1 6 1 7 1 Start Design house and obtain financing Order &receive materials Select paint Select carpet Lay foundation Build house Finish work Activity Number Activity Time
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25. Activity Start Times 9- 1 3 2 2 4 3 3 1 5 1 6 1 7 1 Start Start at 3 months Start at 6 months Start at 5 months Finish at 9 months Finish
33. Examples of Beta Distributions 9- P (time) P (time) P (time) Time a m t b a m t b m = t Time Time b a
34. Project with Probabilistic Time Estimates 9- Finish 2 3,6,9 3 1,3,5 1 6,8,10 5 2,3,4 6 3,4,5 4 2,4,12 7 2,2,2 8 3,7,11 9 2,4,6 10 1,4,7 11 1,10,13 Equipment installation System development Position recruiting Equipment testing and modification Manual testing Job Training Orientation System training System testing Final debugging System changeover Start
35. Activity Time Estimates 9- 1 6 8 10 8 0.44 2 3 6 9 6 1.00 3 1 3 5 3 0.44 4 2 4 12 5 2.78 5 2 3 4 3 0.11 6 3 4 5 4 0.11 7 2 2 2 2 0.00 8 3 7 11 7 1.78 9 2 4 6 4 0.44 10 1 4 7 4 1.00 11 1 10 13 9 4.00 TIME ESTIMATES (WKS) MEAN TIME VARIANCE ACTIVITY a m b t б 2
40. Probabilistic Network Analysis 9- Determine probability that project is completed within specified time where = t p = project mean time = project standard deviation x = proposed project time Z = number of standard deviations that x is from the mean Z = x -
42. Southern Textile 9- What is probability that project is completed within 30 weeks? 2 = 6.89 weeks = 6.89 = 2.62 weeks Z = = = 1.91 x - 30 - 25 2.62 From Table A.1, (appendix A) a Z score of 1.91 corresponds to a probability of 0.4719. Thus P (30) = 0.4719 + 0.5000 = 0.9719 = 25 Time (weeks) x = 30 P ( x 30 weeks)
43. Southern Textile 9- What is probability that project is completed within 22 weeks? 2 = 6.89 weeks = 6.89 = 2.62 weeks Z = = = -1.14 x - 22 - 25 2.62 From Table A.1, (appendix A) a Z score of 1.14 corresponds to a probability of 0.3729. Thus P (22) = 0.5000 - 0.3729 = 0.1271 = 25 Time (weeks) x = 22 P ( x 22 weeks) = 0.1271 0.3729
46. Microsoft Project 9- Precedence relationships Click on “Format” then ”Timescale” to scale Gantt chart. Gantt chart; click on “View” to activate Create precedence relationships; click on predecessor activity, then holding “Ctrl” Key, click on successor activity.
56. Normal Time and Cost vs. Crash Time and Cost Copyright 2011 John Wiley & Sons, Inc. 9- $7,000 – $6,000 – $5,000 – $4,000 – $3,000 – $2,000 – $1,000 – – | | | | | | | 0 2 4 6 8 10 12 14 Weeks Normal activity Normal time Normal cost Crash time Crashed activity Crash cost Slope = crash cost per week