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The dual of the traffic assignment problem with elastic demands

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  • Carey, Malachy

Abstract

This article is concerned with the dual of the traffic assignment problem, and of the combined generation, distribution, and assignment problem. The duals, and duality relations, for the arc-chain and node-arc formulations of the problem are derived using only the Kuhn-Tucker conditions for convex programs. This has the advantage of being more familiar to most readers than the conjugate function presentation which has been used elsewhere.

Suggested Citation

  • Carey, Malachy, 1985. "The dual of the traffic assignment problem with elastic demands," Transportation Research Part B: Methodological, Elsevier, vol. 19(3), pages 227-237, June.
    • Handle: RePEc:eee:transb:v:19:y:1985:i:3:p:227-237
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    Cited by:

    1. David Boyce, 2007. "Forecasting Travel on Congested Urban Transportation Networks: Review and Prospects for Network Equilibrium Models," Networks and Spatial Economics, Springer, vol. 7(2), pages 99-128, June.
    2. Xie, Chi & Travis Waller, S., 2012. "Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1023-1042.

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