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The multi-commodity one-to-one pickup-and-delivery traveling salesman problem

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  • Hernández-Pérez, Hipólito
  • Salazar-González, Juan-José

Abstract

This paper concerns a generalization of the traveling salesman problem (TSP) called multi-commodity one-to-one pickup-and-delivery traveling salesman problem (m-PDTSP) in which cities correspond to customers providing or requiring known amounts of m different commodities, and the vehicle has a given upper-limit capacity. Each commodity has exactly one origin and one destination, and the vehicle must visit each customer exactly once. The problem can also be defined as the capacitated version of the classical TSP with precedence constraints. This paper presents two mixed integer linear programming models, and describes a decomposition technique for each model to find the optimal solution. Computational experiments on instances from the literature and randomly generated compare the techniques and show the effectiveness of our implementation.

Suggested Citation

  • Hernández-Pérez, Hipólito & Salazar-González, Juan-José, 2009. "The multi-commodity one-to-one pickup-and-delivery traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 196(3), pages 987-995, August.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:3:p:987-995
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    References listed on IDEAS

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    1. Kalantari, Bahman & Hill, Arthur V. & Arora, Sant R., 1985. "An algorithm for the traveling salesman problem with pickup and delivery customers," European Journal of Operational Research, Elsevier, vol. 22(3), pages 377-386, December.
    2. Mirchandani, Prakash, 2000. "Projections of the capacitated network loading problem," European Journal of Operational Research, Elsevier, vol. 122(3), pages 534-560, May.
    3. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    4. Harilaos N. Psaraftis, 1983. "An Exact Algorithm for the Single Vehicle Many-to-Many Dial-A-Ride Problem with Time Windows," Transportation Science, INFORMS, vol. 17(3), pages 351-357, August.
    5. Mosheiov, Gur, 1994. "The Travelling Salesman Problem with pick-up and delivery," European Journal of Operational Research, Elsevier, vol. 79(2), pages 299-310, December.
    6. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    7. Healy, Patrick & Moll, Robert, 1995. "A new extension of local search applied to the Dial-A-Ride Problem," European Journal of Operational Research, Elsevier, vol. 83(1), pages 83-104, May.
    8. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
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