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

Hipólito Hernández-Pérez and Juan-José Salazar-González

European Journal of Operational Research, 2009, vol. 196, issue 3, 987-995

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.

Keywords: Traveling; salesman; Pickup-and-delivery; Branch-and-cut; Dial-a-Ride (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:196:y:2009:i:3:p:987-995

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