A Stochastic User Equilibrium Model with Stochastic Demand

Stochastic User Equilibrium (SUE) is one of the most important network equilibriums. SUE can be regarded as Wardrop’s equilibrium with route choice based on random utility models. Watling’s previous research extended SUE and presented a second order stochastic network equilibrium with stochastic route choice. In the model, route choice is made stochastically based on random utility and route flows of each Origin and Destination (OD) pair follow a multinomial distribution. In this study, the authors improve Watling’s model and incorporate stochastic travel demands into the model. Assume that each travel demand follows a negative-binomial distribution which is discrete non-negative, and route choice is made stochastically. In this case, the resulting route flows of each OD pair follow a negative-multinomial distribution under negative-binomial distributed demands. A stochastic network equilibrium is formulated using the logit model. The stochastic network equilibrium model is formulated as a fixed point problem (or variational inequality or complementarity problem). The model in this study enables the authors to examine networks reliability under uncertain demands.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/9780080450926
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Corporate Authors:

  Elsevier

  Linacre House, Jordan Hill
  Oxford,   United Kingdom  OX2 8DP
• Authors:
  • Nakayama, Shoichiro
• Conference:
  • 4th IMA International Conference on Mathematics in Transport
  • Location: London , United Kingdom
  • Date: 2005-9-7 to 2005-9-9
• Publication Date: 2007

Language

• English

Media Info

• Media Type: Print
• Edition: First
• Features: Figures; References; Tables;
• Pagination: pp 211-218
• Monograph Title: Mathematics in Transport. Selected Proceedings of the 4th IMA International Conference on Mathematics in Transport

Subject/Index Terms

• TRT Terms: Demand; Fixed routes; Multinomial logits; Origin and destination; Route choice; Stochastic programming; Traffic flow; Travel demand; Travel time
• Uncontrolled Terms: Negative binomial distributions; User equilibrium
• Subject Areas: Highways; Planning and Forecasting; Public Transportation; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01081069
• Record Type: Publication
• ISBN: 9780080450926
• Files: TRIS
• Created Date: Nov 26 2007 9:54AM