13. Lab Week 13 Problem Solutions

13. Lab Week 13 Problem Solutions - Lab Week 13 Problem...

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Lab Week 13 Problem Solutions CHAPTER 8 PROJECT SCHEDULING: PERT/CPM 13. Path Expected Duration ( t p ) Std. Dev. (σ) Z 16 = 16- t p Z 15 = 15- t p Z 13 = 13- t p σ σ σ A 10 1.1 5.45 4.55 2.73 B 8 .414 5.66 4.95 3.54 C 12 1. 4 3 1 D 15 1.7 0.59 0 -1.18 E 14 1.2 1.67 0.83 -0.83 (a) Prob. (T 16) = 1 x 1 x 1 x 0.7224 x 0.9525 = 0.6881 (b) Prob. (T 15) = 1 x 1 x .9987 x 0.50 x 0.7967 = 0.3978 (c) Prob. (T 13) = .9968 x 1 x 0.8413 x .119 x .2033 = .0203 17. S b 2-2-3 f 3-4-8 g 5-7-9 End c 5-8-12 m 1-1-1 n 6-7-11 i 2-3-6 j 3-4-5 a 2-4-6 # a-m-b k 4-5-8 o 8-9-13 d 6-8-10 e 7-9-12 h 2-3-5
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Activity Expected Duration = (a+4m+b)/6 Path Mean Variance = [(b-a)/6] 2 Path Variance Path Std. dev. a 4. 24.34 16/36 66/36 1.354 d 8. 16/36 e 9.17 25/36 h 3.17 9/36 a 4 15.5 16/36 57/36 1.258 f 4.5 25/36 g 7. 16/36 b 2.17 14.83 1/36 37/36 1.014 i 3.33 16/36 j 4. 4/36 k 5.33 16/36 c 8.17 26.17 49/36 99/36 1.658 m 1. 0 n
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13. Lab Week 13 Problem Solutions - Lab Week 13 Problem...

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