Decomposition of path choice entropy in general transport networks

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55 Citations (Scopus)


This paper shows that the LOGIT type stochastic assignment/stochastic user equilibrium assignment can be represented as an optimization problem with only link variables. The conventional entropy function defined by path flows in the objective can be decomposed into a function consisting only of link flows. The idea of the decomposed formulation is derived from a consideration of the most likely link flow patterns over a network. Then the equivalence of the decomposed formulation to LOGIT assignment is proved by using the Markov properties that underlie Dial's algorithm. Through the analyses, some useful properties of the entropy function and its conjugate dual function (expected minimum cost function) have been derived. Finally, it is discussed that the derived results have a potential impact on the development of efficient algorithms for the stochastic user equilibrium assignment.

Original languageEnglish
Pages (from-to)349-362
Number of pages14
JournalTransportation Science
Issue number4
Publication statusPublished - 1997 Nov
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Transportation


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