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The Multiobjective Vending Problem: A Generalization of the Travelling Salesman Problem

Author

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  • C P Keller

    (Department of Geography, University of Victoria, Victoria, BC, Canada)

  • M F Goodchild

    (Department of Geography, University of Western Ontario, London, Ont, Canada)

Abstract

A generalization of the travelling salesman problem is introduced. Each node has an associated reward, and a penalty is incurred by travelling between nodes. In the multiobjective vending problem, the subset of nodes and associated tour which will minimize penalty and maximize reward is sought. The problem is placed within the context of multiobjective programming. A heuristic is proposed and evaluated, and it is found to give satisfactory performance when applied to a problem with twenty-five nodes. Further generalizations are suggested.

Suggested Citation

  • C P Keller & M F Goodchild, 1988. "The Multiobjective Vending Problem: A Generalization of the Travelling Salesman Problem," Environment and Planning B, , vol. 15(4), pages 447-460, December.
    • Handle: RePEc:sae:envirb:v:15:y:1988:i:4:p:447-460
    DOI: 10.1068/b150447
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    References listed on IDEAS

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    1. Robert L. Karg & Gerald L. Thompson, 1964. "A Heuristic Approach to Solving Travelling Salesman Problems," Management Science, INFORMS, vol. 10(2), pages 225-248, January.
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    Cited by:

    1. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "Traveling Salesman Problems with Profits," Transportation Science, INFORMS, vol. 39(2), pages 188-205, May.

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