An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions

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Abstract

This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is accomplished by expressing Wardrop's first principle as a set of nonlinear constraints in standard mathematical programming form. An algorithm is proposed, each iteration of which requires solving a nonlinear program with linear constraints.

References (12)

  • H.Z. Aashtiani

    The Multimodal Traffic Assignment Problem

  • H.Z. Aashtiani et al.

    Equilibria on a congested transportation network

    (1980)
  • R.L. Asmuth

    Traffic Network Equilibrium

  • M. Avriel

    Nonlinear Programming: Analysis and Methods

    (1976)
  • S. Dafermos

    The Traffic assignment problem for multiclass-user transportation networks

    Transpn Sci.

    (1972)
  • S. Dafermos

    Traffic equilibrium and variational inequalities

    Transpn Sci.

    (1980)
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