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Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
Problem 3P
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Exercise 1 (2 The table below specifies the distances between some connected cities. Cities 1 2 3 4 5 6 7 8 Assignment Design and Analysis of Algorithms 1 100 250 2 150 3 110 4 270 5 200 6 20 7 190 8 130 1- Draw the undirected graph showing the connections between cities. 2- Based in the undirected graph of question 1, use a greed algorithm approach to find the shortest tour that connects all the cities. This tour should not contain any cycle. You must show all the computing steps. Exercise 2 The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps.
Transcribed Image Text:Exercise 1 (2 The table below specifies the distances between some connected cities. Cities 1 2 3 4 5 6 7 8 Assignment Design and Analysis of Algorithms 1 100 250 2 150 3 110 4 270 5 200 6 20 7 190 8 130 1- Draw the undirected graph showing the connections between cities. 2- Based in the undirected graph of question 1, use a greed algorithm approach to find the shortest tour that connects all the cities. This tour should not contain any cycle. You must show all the computing steps. Exercise 2 The longest palindromic subsequence problem is a classic variation of the Longest Common Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X, reverse(X)) and the longest common subsequence will be the longest palindromic subsequence. 1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming algorithm to compute the longest palindrome sequence and it is length. You must show all the computing steps.
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