Lagrangian relaxation method for network flow modeled crew and vehicle rescheduling

Tatsuhiro Sato, Tomoe Tomiyama, Toyohisa Morita, Tomohiro Murata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We propose a method for solving the crew rescheduling problem (CRP) and the vehicle rescheduling problem (VRP) based on the Lagrangian relaxation method. The CRP/VRP is formulated as an integer programming problem on the basis of a network flow modeling approach from which a Lagrangian relaxation problem is constructed by relaxing the constraint that covers multiple resources. Using two procedures that generate the upper and lower bounds of the primal problem, both of which utilize an efficient shortest path algorithm for the directed acyclic graph (DAG), the proposed method gradually improves the gap between the upper and lower bounds while updating Lagrangian multipliers. Results of real-world vehicle rescheduling data from a Japanese railway line indicate that the proposed method generates a feasible solution within a practical amount of time, which is confirmed to be fairly close to the optimum according to the gap and a comparison with the heuristic solution method.

Original languageEnglish
Title of host publicationProceedings - 2nd IEEE International Conference on Advanced Computer Control, ICACC 2010
Pages403-408
Number of pages6
DOIs
Publication statusPublished - 2010 Oct 21
Event2010 IEEE International Conference on Advanced Computer Control, ICACC 2010 -
Duration: 2010 Mar 272010 Mar 29

Publication series

NameProceedings - 2nd IEEE International Conference on Advanced Computer Control, ICACC 2010
Volume1

Other

Other2010 IEEE International Conference on Advanced Computer Control, ICACC 2010
Period10/3/2710/3/29

Keywords

  • Crew/vehicle rescheduling
  • Integer programming
  • Lagrangian relaxation method
  • Network flow model
  • Railway train operation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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