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A Branch-and-Price Algorithm for the Bilevel Network Maintenance Scheduling Problem

Author

Listed:
  • David Rey

    (School of Civil and Environmental Engineering, UNSW Sydney, New South Wales 2052, Australia;)

  • Hillel Bar-Gera

    (Department of Industrial Engineering and Management, Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel;)

  • Vinayak V. Dixit

    (School of Civil and Environmental Engineering, UNSW Sydney, New South Wales 2052, Australia;)

  • S. Travis Waller

    (School of Civil and Environmental Engineering, UNSW Sydney, New South Wales 2052, Australia;)

Abstract

We address the network maintenance scheduling problem, which consists of finding the optimal schedule for the coordination of road maintenance projects in a transport network over a planning period. Road works and maintenance operations that require partial or total road closures over a period of time may considerably impact network performance and result in significant delays. In addition, the effects of conducting multiple maintenance projects simultaneously may be nonadditive, hence increasing the difficulty to anticipate congestion effects. In this paper, we propose a new bilevel mixed integer programming formulation for the network maintenance scheduling problem, which relies on the enumeration of maintenance project combinations—patterns—to incorporate congestion effects within the scheduling process. We present a new branch-and-price algorithm that relies on customized branching and bounding rules, and a tailored column generation framework to price patterns. In addition, a statistical regression model is introduced to approximate congestion effects and provide approximate lower bounds on the formulations therein. The proposed branch-and-price algorithm is implemented on instances derived from realistic transport networks and is shown to be able to solve the network maintenance scheduling problem in a reasonable time using only a fraction of the patterns.

Suggested Citation

  • David Rey & Hillel Bar-Gera & Vinayak V. Dixit & S. Travis Waller, 2019. "A Branch-and-Price Algorithm for the Bilevel Network Maintenance Scheduling Problem," Transportation Science, INFORMS, vol. 53(5), pages 1455-1478, September.
    • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:5:p:1455-1478
    DOI: 10.1287/trsc.2019.0896
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    References listed on IDEAS

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