Zeitschrift für Operations Research

, Volume 41, Issue 3, pp 347–358 | Cite as

A column generation method for inverse shortest path problems

  • Jianzhong Zhang
  • Zhongfan Ma
  • Chao Yang
Articles

Abstract

In this paper we formulate an inverse shortest path problem as a special linear programming problem. A column generation scheme is developed that is able to keep most columns of the LP model implicit and to generate necessary columns by shortest path algorithms. This method can get an optimal solution in finitely many steps. Some numerical results are reported to show that the algorithm has a good performance.

Key words

Inverse shortest path problems Simplex method dual problem column generation methods 

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Copyright information

© Physica-Verlag 1995

Authors and Affiliations

  • Jianzhong Zhang
    • 1
  • Zhongfan Ma
    • 2
  • Chao Yang
    • 3
  1. 1.Department of MathematicsCity University of Hong KongHong Kong
  2. 2.Institute of Systems SciencesAcademia SinicaBeijingChina
  3. 3.Department of MathematicsCity University of Hong KongHong Kong

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