2020 · OPTIMIZATION LETTERS

Variable neighborhood search based algorithms to solve a rich k-travelling repairmen problem

Frifita, Sana, Mathlouthi, Ines, Masmoudi, Malek, Dammak, Abdelaziz

Journal
OPTIMIZATION LETTERS
Année
2020
Volume
14
Numéro
8
Pages
2285-2299
Mois
NOV
DOI
10.1007/s11590-020-01551-w

Abstract

In this paper, we consider a Rich k-travelling repairmen problem (R-k-TRP), motivated by an application for the maintenance and repair of electronic transaction equipment. It consists of designing routes of polyvalent repairmen to perform customers requests. The objective is to minimize a linear combination of total weighted travelled distance, breaks and overtime, minus gain associated with performed requests, under a set of constraints such as multiple time windows, parts inventory, breaks, and special parts. A benchmark of small and medium instances are considered from literature and new larger instances are generated. A Variable Neighborhood Search (VNS) and a General Variable Neighborhood Search algorithms (GVNS), both coupled with a technique called Adaptive memory (AM), are proposed to address this problem. The computational results show the effectiveness and efficiency of the GVNS with AM for solving the R-k-TRP, in comparison with other provided VNS algorithms and the current state of the art Branch and Price method.

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