Stabilized column generation for highly degenerate multiple-depot vehicle scheduling problems

Amar Oukil; Hatem Ben Amor; Jacques Desrosiers; Hicham El Gueddari

doi:10.1016/j.cor.2005.05.011

Stabilized column generation for highly degenerate multiple-depot vehicle scheduling problems

Amar Oukil, Hatem Ben Amor, Jacques Desrosiers^*, Hicham El Gueddari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

52 Citations (Scopus)

Abstract

Column generation has proven to be efficient in solving the linear programming relaxation of large scale instances of the multiple-depot vehicle scheduling problem (MDVSP). However difficulties arise when the instances are highly degenerate. Recent research has been devoted to accelerate column generation while remaining within the linear programming framework. This paper presents an efficient approach to solve the linear relaxation of the MDVSP. It combines column generation, preprocessing variable fixing, and stabilization. The outcome shows the great potential of such an approach for degenerate instances.

Original language	English
Pages (from-to)	817-834
Number of pages	18
Journal	Computers and Operations Research
Volume	34
Issue number	3
DOIs	https://doi.org/10.1016/j.cor.2005.05.011
Publication status	Published - Mar 2007
Externally published	Yes

Keywords

Column generation
Degeneracy
Multiple-Depot Vehicle Scheduling Problem
Stabilization

ASJC Scopus subject areas

General Computer Science
Modelling and Simulation
Management Science and Operations Research

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10.1016/j.cor.2005.05.011

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abstract = "Column generation has proven to be efficient in solving the linear programming relaxation of large scale instances of the multiple-depot vehicle scheduling problem (MDVSP). However difficulties arise when the instances are highly degenerate. Recent research has been devoted to accelerate column generation while remaining within the linear programming framework. This paper presents an efficient approach to solve the linear relaxation of the MDVSP. It combines column generation, preprocessing variable fixing, and stabilization. The outcome shows the great potential of such an approach for degenerate instances.",

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author = "Amar Oukil and Amor, {Hatem Ben} and Jacques Desrosiers and {El Gueddari}, Hicham",

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AU - Oukil, Amar

AU - Amor, Hatem Ben

AU - Desrosiers, Jacques

AU - El Gueddari, Hicham

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Y1 - 2007/3

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AB - Column generation has proven to be efficient in solving the linear programming relaxation of large scale instances of the multiple-depot vehicle scheduling problem (MDVSP). However difficulties arise when the instances are highly degenerate. Recent research has been devoted to accelerate column generation while remaining within the linear programming framework. This paper presents an efficient approach to solve the linear relaxation of the MDVSP. It combines column generation, preprocessing variable fixing, and stabilization. The outcome shows the great potential of such an approach for degenerate instances.

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KW - Degeneracy

KW - Multiple-Depot Vehicle Scheduling Problem

KW - Stabilization

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Stabilized column generation for highly degenerate multiple-depot vehicle scheduling problems

Abstract

Keywords

ASJC Scopus subject areas

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