Sensitivity analysis for equilibrium network flow

Roger L. Tobin, Terry L. Friesz

Research output: Contribution to journalArticlepeer-review

263 Scopus citations


This paper presents an approach for sensitivity analysis of equilibrium traffic assignment problems in which an equivalent restricted problem is developed which has the desired uniqueness properties. The existing methods are applied to this restricted problem to calculate the derivatives of the equilibrium arc flows with respect to perturbations of the cost functions and of the trip table. These derivatives are then shown to be equivalent to the derivatives of the original unrestricted equilibrium traffic assignment problem; therefore, the method yields the desired sensitivity analysis results.

Original languageEnglish (US)
Pages (from-to)242-250
Number of pages9
JournalTransportation Science
Issue number4
StatePublished - 1988

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Transportation


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