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A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints

Author

Listed:
  • Terry L. Friesz

    (George Mason University, Fairfax, Virginia 22030)

  • Hsun-Jung Cho

    (National Chiao Tung University, Hsinchu, Taiwan)

  • Nihal J. Mehta

    (George Mason University, Fairfax, Virginia 22030)

  • Roger L. Tobin

    (GTE Laboratories Inc., Waltham, Massachusetts 02254)

  • G. Anandalingam

    (University of Pennsylvania, Philadelphia, Pennsylvania 19104)

Abstract

The equilibrium network design problem can be formulated as a mathematical program with variational inequality constraints. We know this problem is nonconvex; hence, it is difficult to solve for a globally optimal solution. In this paper we propose a simulated annealing algorithm for the equilibrium network design problem. We demonstrate the ability of this algorithm to determine a globally optimal solution for two different networks. One of these describes an actual city in the midwestern United States.

Suggested Citation

  • Terry L. Friesz & Hsun-Jung Cho & Nihal J. Mehta & Roger L. Tobin & G. Anandalingam, 1992. "A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints," Transportation Science, INFORMS, vol. 26(1), pages 18-26, February.
    • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:1:p:18-26
    DOI: 10.1287/trsc.26.1.18
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