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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 4708135, 13 pages
https://doi.org/10.1155/2017/4708135
Research Article

A GRASP-Tabu Heuristic Approach to Territory Design for Pickup and Delivery Operations for Large-Scale Instances

1Faculty of Engineering and Applied Sciences, Universidad de Los Andes Chile, Monseñor Álvaro Portillo 12455, Las Condes, Santiago, Chile
2Tecnologico de Monterrey, Escuela de Ingeniería y Ciencias, Eugenio Garza Sada 2501, 64849 Monterrey, NL, Mexico
3School of Computing, Informatics and Decision Systems Engineering, Arizona State University, Tempe, AZ 85287-8809, USA
4Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico-Matemáticas, Av. Universidad s/n, 66450 San Nicolás de los Garza, NL, Mexico

Correspondence should be addressed to Neale R. Smith; xm.mseti@htimsn

Received 28 April 2017; Revised 28 September 2017; Accepted 2 October 2017; Published 29 October 2017

Academic Editor: Federica Caselli

Copyright © 2017 Rosa G. González-Ramírez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We address a logistics districting problem faced by a parcel company whose operations consist of picking up and delivering packages over a service region. The districting process aims to find a partition of the service region into delivery and collection zones that may be served by a single vehicle that departs from a central depot. Criteria to be optimized are to balance workload content among the districts and to create districts of compact shape. A solution approach based on a hybrid procedure that combines elements of GRASP and Tabu Search (TS) is proposed to solve large-scale instances. Numerical experimentation is performed considering different instance sizes and types. Results show that the proposed solution approach is able to solve large-scale instances in reasonable computational times with good quality of the solutions obtained. To determine the quality of the solutions, results are compared with CPLEX solutions and with the current real solution to highlight the benefits of the proposed approach. Conclusions and recommendations for further research are provided.