We consider the Traveling Salesman Problem with the cost matrix0 87 1 51086 37 10 159 2 70 58 2620and apply Little's branch and bound algorithm.What is the initial lower bound on possible solutions at the very first stepof the algorithm?Which edge (which entry of the cost matrix) is used for the firstinclusion/exclusion branching? Enter the indices of vertices at both endpoints of this edge without any separators between them.(For example,if the edge (12) (or,in other words,the matrix entry c12) ischosen for inclusion/exclusion, enter 12 in the text box.)What is the lower bound on the solutions in the exclusion branch (after thefırst inclusion/exclusion branching)?

1 2 3 4 5 1 ∞ 8 7 1 5 2 1 ∞ 8 6 3 3 7 1 ∞ 1 5 4 9 2 7 ∞ 5 5 8 2 6 2 ∞ Answer for sub…

Answered: We consider the Traveling Salesman…

We consider the Traveling Salesman Problem with the cost matrix 0 87 1 5 1086 3 7 101 5 9 2705 8 26 2 0 and apply Little's branch and bound algorithm.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

We consider the Traveling Salesman Problem with the cost matrix
0 87 1 5
1086 3
7 10 15
9 2 70 5
8 2620
and apply Little's branch and bound algorithm.
What is the initial lower bound on possible solutions at the very first step
of the algorithm?
Which edge (which entry of the cost matrix) is used for the first
inclusion/exclusion branching? Enter the indices of vertices at both end
points of this edge without any separators between them.
(For example,if the edge (12) (or,in other words,the matrix entry c12) is
chosen for inclusion/exclusion, enter 12 in the text box.)
What is the lower bound on the solutions in the exclusion branch (after the
fırst inclusion/exclusion branching)?

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