Column Generation Heuristic for a Rich Arc Routing Problem

Authors Sébastien Lannez, Christian Artigues, Jean Damay, Michel Gendreau



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Author Details

Sébastien Lannez
Christian Artigues
Jean Damay
Michel Gendreau

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Sébastien Lannez, Christian Artigues, Jean Damay, and Michel Gendreau. Column Generation Heuristic for a Rich Arc Routing Problem. In 10th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS'10). Open Access Series in Informatics (OASIcs), Volume 14, pp. 130-141, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010) https://doi.org/10.4230/OASIcs.ATMOS.2010.130

Abstract

In this paper we address a real world optimisation
problem, the Rail Track Inspection Scheduling Problem (RTISP).
This problem consists of scheduling network inspection tasks.
The objective is to minimise total deadhead distance.
A mixed integer formulation of the problem
is presented. A column generation based algorithm is proposed
to solve this rich arc routing problem. Its performance
is analysed by benchmarking a real world dataset from the French national
railway company (SNCF). The efficiency of the algorithm is compared
to an enhanced greedy algorithm. Its ability to schedule one
year of inspection tasks on a sparse graph with thousand nodes, arcs
and edges is assessed.

Subject Classification

Keywords
  • arc routing
  • column generation
  • heuristic
  • railtrack maintenance

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