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1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)

1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.3: How To Maximize The Probability Of A Favorable Event Occurring
Problem 1P
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someone please help sovle this. Thx

1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)
Transcribed Image Text:1. In the activity selection problem, consider a greedy approach which repeatedly selects the last activity to start (of those which are compatible with all previously selected activities) instead of the first activity to finish. Describe how this approach is a greedy algorithm, and show that it yields an optimal solution. You may choose to either (1) show this directly or (2) to show that it is equivalent to the "first activity to start" approach which you can cite as proven based on lecture and the textbook. (This is similar to problem 15.1-2 from CLRS)
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