Journal of Heuristics

, Volume 13, Issue 1, pp 35–47 | Cite as

Distance measures based on the edit distance for permutation-type representations

  • Kenneth Sörensen


In this paper, we discuss distance measures for a number of different combinatorial optimization problems of which the solutions are best represented as permutations of items, sometimes composed of several permutation (sub)sets. The problems discussed include single-machine and multiple-machine scheduling problems, the traveling salesman problem, vehicle routing problems, and many others. Each of these problems requires a different distance measure that takes the specific properties of the representation into account. The distance measures discussed in this paper are based on a general distance measure for string comparison called the edit distance. We introduce several extensions to the simple edit distance, that can be used when a solution cannot be represented as a simple permutation, and develop algorithms to calculate them efficiently.


Distance measures Edit distance Permutation-type representations 


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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.University of Antwerp, Faculty of Applied EconomicsAntwerpBelgium

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