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The multi-criteria constrained shortest path problem

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  • Shi, Ning
  • Zhou, Shaorui
  • Wang, Fan
  • Tao, Yi
  • Liu, Liming

Abstract

In this study, we propose an exact method for finding all the Pareto-optimal paths for a multi-criteria constrained shortest path problem. We show that solving the special bi-criteria problem is equivalent to generating at most |P| constrained shortest paths with successive tightened constraints, where |P| is the total number of all Pareto-optimal paths. For the general multi-criteria case, we propose a decomposition procedure and theoretically prove that this method can identify all the Pareto-optimal paths from at most (u-1)!|P| candidate paths, where u is the number of criteria. Numerical studies demonstrate that our algorithm is highly efficient and robust.

Suggested Citation

  • Shi, Ning & Zhou, Shaorui & Wang, Fan & Tao, Yi & Liu, Liming, 2017. "The multi-criteria constrained shortest path problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 101(C), pages 13-29.
    • Handle: RePEc:eee:transe:v:101:y:2017:i:c:p:13-29
    DOI: 10.1016/j.tre.2017.02.002
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