Modeling demand elasticity and route overlapping in stochastic user equilibrium through paired combinatorial logit model

Seungkyu Ryu, Anthony Chen, Xiangdong Xu, Keechoo Choi

Research output: Chapter in book / Conference proceedingChapter in an edited book (as author)Academic researchpeer-review

8 Citations (Scopus)


In this paper un equivalent mathematical programming formulation is provided for modeling demand elasticity and route overlapping in the stochastic user equilibrium (SUE) problem. The elastic demand establishes the equilibrium between supply function and demand function on the basis of microeconomics. Because the elasticity of demand is an important factor in predicting the future demand pattern and avoiding the potential biased assessment in transportation planning, the elasticity of travel demand must be modeled endogenoasly. The route overlapping problem is handled by the paired combinatorial logit (PCL) model while retaining the analytical tractability of the logit choice probability function. The PCL SUE model with elastic demand (PCL-SUE-ED) explicitly models the elasticity of travel demand and the effect of route overlapping on travel choice and route choice simultaneously. A path-based partial linearization algorithm is also developed for solving the PCL-SUE-ED model. In addition, a self-regulated averaging line search strategy is incorporated into the algorithm to minimize the computational efforts required to determine a suitable step size that guarantees convergence. Numerical results are provided to examine the features of the PCL-SUE-ED model as well as the efficiency of the path-based partial linearization algorithm.
Original languageEnglish
Title of host publicationTransportation Research Record
PublisherNational Research Council
Number of pages12
ISBN (Electronic)9780309295239
Publication statusPublished - 1 Jan 2014
Externally publishedYes

Publication series

NameTransportation Research Record
ISSN (Print)0361-1981

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering


Dive into the research topics of 'Modeling demand elasticity and route overlapping in stochastic user equilibrium through paired combinatorial logit model'. Together they form a unique fingerprint.

Cite this