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# BiVariate Worksheet 7.3 C answers - 7.3c Detailed Solution...

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7.3c Detailed Solution Thinking about the problem Let T = time to complete all 4 jobs A, B, C, and D. Then, for A = 1, B = 3, C = 1, and D = 2, we compute T = 4: C A 0 1 2 3 4 5 6 T = total time to completion D B A similar diagram can be used to complete T for other job durations. Dependent jobs & starting jobs at the same time We know that the durations for C and D are dependent on each other. We also know that B and C can start at the same time. The important thing to understand is that these two concepts have nothing to do with each other. Just because two jobs can start at the same time doesn’t mean they should have dependent durations (or independent durations). The same is true for jobs that start one after the other. Dependent durations are unrelated to when the jobs start! Constructing the tree In the tree, we first branch on the duration of job A, then on the duration of job B. Finally, because we have data for the joint distribution of jobs C and D, we can branch on the durations of these two jobs together.

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BiVariate Worksheet 7.3 C answers - 7.3c Detailed Solution...

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