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Pré-Publication, Document De Travail Année : 2014

The Two-Echelon Multi-products Location-Routing problem with Pickup and Delivery: Formulation and heuristic approaches

Résumé

The two-echelon location routing problem (LRP-2E) considers the first-level routes that serve from one depot a set of processing centers, which must be located and the second-level routes that serve customers from the open processing centers. In this paper, we consider an extension of the LRP-2E, where the second level routes include three constraints, that have not been considered simultaneously in the location routing literature, namely, multi-product, pickup and delivery and the use of the processing center as intermediate facility in the second-level routes. This new variant is named two-Echelon Multi-products Location-Routing problem with Pickup and Delivery (LRP-MPPD-2E). The objective of LRP-MPPD-2E is to minimize both the location and the routing costs, considering the new constraints. The first echelon deals with the selection of processing centers from a set of potential sites simultaneously with the construction of the first-level routes, such that each route starting from the main depot, visits the selected processing centers and returns to the main depot. The second echelon aims at assigning customers to the selected processing centers and defining the second-level routes. Each second-level route, starts at a processing center, visits a set of customers, through one or several processing centers, and then returns to the first processing center. We present a mixed integer linear model for the problem and use a Cplex solver to solve small-scale instances. Furthermore, we propose non-trivial extensions of nearest neighbour and insertion approaches. We also develop clustering based approaches that seldom investigated on location routing. Computational experiments are conducted to evaluate and to compare the performances of proposed approaches. The results confirm the effectiveness of clustering approaches. .
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Dates et versions

hal-01088960 , version 1 (30-11-2014)

Identifiants

  • HAL Id : hal-01088960 , version 1

Citer

Younes Rahmani, Wahiba Ramdane, Ammar Oulamara. The Two-Echelon Multi-products Location-Routing problem with Pickup and Delivery: Formulation and heuristic approaches. 2014. ⟨hal-01088960⟩
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