COVERGENCE OF EQUILIBRIUM ALGORITHMS WITH PREDETERMINED STEP SIZES.

Warren Buckler Powell; Yosef Sheffi

doi:10.1287/trsc.16.1.45

COVERGENCE OF EQUILIBRIUM ALGORITHMS WITH PREDETERMINED STEP SIZES.

Warren Buckler Powell, Yosef Sheffi

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201 Scopus citations

Abstract

The paper discusses a certain class of equilibrium traffic assignment problems characterized by a path formulation of the associated mathematical programs. The paper proves that a predetermined sequence of step sizes (in a descent direction) would guarantee, under certain regularity conditions, convergence to the equilibrium solution.

Original language	English (US)
Pages (from-to)	45-55
Number of pages	11
Journal	Transportation Science
Volume	16
Issue number	1
DOIs	https://doi.org/10.1287/trsc.16.1.45
State	Published - 1982

All Science Journal Classification (ASJC) codes

Civil and Structural Engineering
Transportation

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10.1287/trsc.16.1.45

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title = "COVERGENCE OF EQUILIBRIUM ALGORITHMS WITH PREDETERMINED STEP SIZES.",

abstract = "The paper discusses a certain class of equilibrium traffic assignment problems characterized by a path formulation of the associated mathematical programs. The paper proves that a predetermined sequence of step sizes (in a descent direction) would guarantee, under certain regularity conditions, convergence to the equilibrium solution.",

author = "Powell, {Warren Buckler} and Yosef Sheffi",

year = "1982",

doi = "10.1287/trsc.16.1.45",

language = "English (US)",

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pages = "45--55",

journal = "Transportation Science",

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SN - 0041-1655

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JO - Transportation Science

JF - Transportation Science

IS - 1

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COVERGENCE OF EQUILIBRIUM ALGORITHMS WITH PREDETERMINED STEP SIZES.

Abstract

All Science Journal Classification (ASJC) codes

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