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Meta-RaPS: a simple and effective approach for solving the traveling salesman problem

Author

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  • DePuy, Gail W.
  • Moraga, Reinaldo J.
  • Whitehouse, Gary E.

Abstract

This paper investigates the development and application of a general meta-heuristic, Meta-RaPS (meta-heuristic for randomized priority search), to the traveling salesman problem (TSP). The Meta-RaPS approach is tested on several established test sets. The Meta-RaPS approach outperformed most other solution methodologies in terms of percent difference from optimal. Additionally, an industry case study that incorporates Meta-RaPS TSP in a large truck route assignment model is presented. The company estimates a more than 50% reduction in engineering time and over $2.5 million annual savings in transportation costs using the automated Meta-RaPS TSP tool compared to their current method.

Suggested Citation

  • DePuy, Gail W. & Moraga, Reinaldo J. & Whitehouse, Gary E., 2005. "Meta-RaPS: a simple and effective approach for solving the traveling salesman problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(2), pages 115-130, March.
    • Handle: RePEc:eee:transe:v:41:y:2005:i:2:p:115-130
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    Cited by:

    1. Lan, Guanghui & DePuy, Gail W. & Whitehouse, Gary E., 2007. "An effective and simple heuristic for the set covering problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1387-1403, February.
    2. Christopher Garcia, 2016. "Winner Determination Algorithms for Combinatorial Auctions with Sub-cardinality Constraints," Computational Economics, Springer;Society for Computational Economics, vol. 47(3), pages 401-421, March.
    3. Jamal Ouenniche & Prasanna K. Ramaswamy & Michel Gendreau, 2017. "A dual local search framework for combinatorial optimization problems with TSP application," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1377-1398, November.

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