Probability (2nd ed.)
Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
Journal of the ACM (JACM)
Polynomial approximation algorithms for the TSP and the QAP with a factorial domination number
Discrete Applied Mathematics
Random Tours in the Traveling Salesman Problem: Analysis and Application
Computational Optimization and Applications
Optimization by Vector Space Methods
Optimization by Vector Space Methods
On Random Symmetric Travelling Salesman Problems
Mathematics of Operations Research
The Traveling Salesman Problem: A Computational Study (Princeton Series in Applied Mathematics)
The Traveling Salesman Problem: A Computational Study (Princeton Series in Applied Mathematics)
The traveling salesman: computational solutions for TSP applications
The traveling salesman: computational solutions for TSP applications
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We give an O(n 2) time algorithm to find the population variance of tour costs over the solution space of the n city symmetric Traveling Salesman Problem (TSP). The algorithm has application in both the stochastic case, where the problem is specified in terms of edge costs which are pairwise independently distributed random variables with known mean and variance, and the numeric edge cost case.We apply this result to provide empirical evidence that, in a range of real world problem sets, the optimal tour cost correlates with a simple function of the mean and variance of tour costs.