Decomposition of path choice entropy in general transport networks

研究成果: Article査読

54 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)349-362
ページ数14
ジャーナルTransportation Science
31
4
DOI
出版ステータスPublished - 1997 11月
外部発表はい

ASJC Scopus subject areas

  • 土木構造工学
  • 輸送

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