A two-phase algorithm for the biobjective integer minimum cost flow problem

نویسندگان

  • Andrea Raith
  • Matthias Ehrgott
چکیده

We present an algorithm to compute a complete set of efficient solutions for the biobjective integer minimum cost flow problem. We use the two phase method with a parametric network simplex algorithm in phase 1 to compute all supported non-dominated extreme points. In phase 2, the remaining nondominated points (non-extreme supported and non-supported) are computed using a k best flow algorithm on single-objective weighted sum problems. We implement the algorithm and report run-times on problem instances generated with a modified version of the NETGEN generator and also for some networks with grid structure.

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عنوان ژورنال:
  • Computers & OR

دوره 36  شماره 

صفحات  -

تاریخ انتشار 2009