Devise an iterative method of generating valid configuration

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Reference no: EM131106828

In this problem, we consider the use of simulated annealing for solving the traveling-salesman problem (TSP). You are given the following:

• N cities;

• the distance between each pair of cities, d;

• a tour represented by a closed path visiting each city once, and only once.

The objective is to find a tour (i.e., permutation of the order in which the cities are visited) that is of minimal total length L. In this problem, the different possible tours are the configurations, and the total length of a tour is the cost function to be minimized.

(a) Devise an iterative method of generating valid configurations.

(b) The total length of a tour is defined by

1752_b6038b36-ed27-41e6-9c7d-fdc4694d2536.png

where P denotes a permutation with P(N + 1) = P(1). Correspondingly, the partition function is

2197_e28ca296-49f1-4b62-a256-1ff93df2956d.png

where T is a control parameter. Set up a simulated-annealing algorithm for the TSP.

Reference no: EM131106828

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