New Insertion and Postoptimization Procedures for the Traveling Salesman Problem

Published Online:https://doi.org/10.1287/opre.40.6.1086

This paper describes a new insertion procedure and a new postoptimization routine for the traveling salesman problem. The combination of the two methods results in an efficient algorithm (GENIUS) which outperforms known alternative heuristics in terms of solution quality and computing time.

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