The multi-criteria constrained shortest path problem

In this study, the authors propose an exact method for finding all the Pareto-optimal paths for a multi-criteria constrained shortest path problem. They 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, the authors 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 the authors' algorithm is highly efficient and robust.


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  • Accession Number: 01634209
  • Record Type: Publication
  • Files: TRIS
  • Created Date: May 1 2017 9:45AM