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In this problem, we consider a weighted interval scheduling problem with the 9 jobs shown below. Job 1, weight = 8 Job 2, weight = 20 Job 3, weight 10

In this problem, we consider a weighted interval scheduling problem with the 9 jobs shown below. Job 1, weight = 8 Job 2, weight = 20 Job 3, weight 10

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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8. In this problem, we consider a weighted interval scheduling problem with the 9 jobs shown below. Job 1, weight = 8 Job 2, weight = 20 Job 3, weight = 10 Job 4, weight = 15 Job 5, weight = 12 %3D Job 6, weight = 13 Job 7, weight = 10| Job 8, weight = 15 Job 9, weight = 8 time Recall that the objective is to select a set of compatible jobs (i.e., jobs that do not overlap each other in time) for which the sum of the weights is maximized. The table below gives the value of optimal solutions to subproblems of the original subproblem. The variable j indicates the subproblem involving jobs {1,2, ...,j}; note that j = 0 corresponds to the empty set. Using the table of the values of optimal solutions, starting from the rightmost part of the table, draw the arrows that we use to reconstruct the optimal solution. Also, state what this solution is (your answer will be a subset of {1, 2, ...,9}). 1 2 3 4 5 6 7 8 9 value 20 20 35 35 35 45 50 53
Transcribed Image Text:8. In this problem, we consider a weighted interval scheduling problem with the 9 jobs shown below. Job 1, weight = 8 Job 2, weight = 20 Job 3, weight = 10 Job 4, weight = 15 Job 5, weight = 12 %3D Job 6, weight = 13 Job 7, weight = 10| Job 8, weight = 15 Job 9, weight = 8 time Recall that the objective is to select a set of compatible jobs (i.e., jobs that do not overlap each other in time) for which the sum of the weights is maximized. The table below gives the value of optimal solutions to subproblems of the original subproblem. The variable j indicates the subproblem involving jobs {1,2, ...,j}; note that j = 0 corresponds to the empty set. Using the table of the values of optimal solutions, starting from the rightmost part of the table, draw the arrows that we use to reconstruct the optimal solution. Also, state what this solution is (your answer will be a subset of {1, 2, ...,9}). 1 2 3 4 5 6 7 8 9 value 20 20 35 35 35 45 50 53
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