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.

Original languageEnglish (US)
Pages (from-to)361-369
Number of pages9
JournalTransportation Research Part B
Volume15
Issue number5
DOIs
StatePublished - Jan 1 1981

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symmetry
Mathematical programming
programming
distribution
Optimization problem
Assignment
Symmetry
programme

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Transportation

Cite this

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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.",
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