A fuzzy user-optimal route choice problem using a link-based fuzzy variational inequality formulation

Mei Shiang Chang; Huey Kuo Chen

doi:10.1016/S0165-0114(98)00108-0

A fuzzy user-optimal route choice problem using a link-based fuzzy variational inequality formulation

Mei Shiang Chang, Huey Kuo Chen

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

A link-based fuzzy user-optimal route choice problem embedding link interactions is formulated using the variational inequality approach. To avoid prohibitive arithmetic computations and by taking a plausible point estimate of each link travel time interval at a certain α-cut level, this fuzzy problem reduces to a crisp user-optimal route choice model, which may be readily solved by the so-called diagonalization method. The corresponding user-optimal conditions are explicitly stated and demonstrated by means of a numerical example.

Original language	English
Pages (from-to)	339-345
Number of pages	7
Journal	Fuzzy Sets and Systems
Volume	114
Issue number	2
DOIs	https://doi.org/10.1016/S0165-0114(98)00108-0
State	Published - 1 Sep 2000

Keywords

Diagonalization method
User-optimal conditions* Fuzzy variational inequality
User-optimal route choice problem

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title = "A fuzzy user-optimal route choice problem using a link-based fuzzy variational inequality formulation",

abstract = "A link-based fuzzy user-optimal route choice problem embedding link interactions is formulated using the variational inequality approach. To avoid prohibitive arithmetic computations and by taking a plausible point estimate of each link travel time interval at a certain α-cut level, this fuzzy problem reduces to a crisp user-optimal route choice model, which may be readily solved by the so-called diagonalization method. The corresponding user-optimal conditions are explicitly stated and demonstrated by means of a numerical example.",

keywords = "Diagonalization method, User-optimal conditions* Fuzzy variational inequality, User-optimal route choice problem",

author = "Chang, {Mei Shiang} and Chen, {Huey Kuo}",

note = "Funding Information: The authors would like to thank the National Science Council, Taiwan (R.O.C.), for nancially supporting this work under Contract Nos. NSC-87-2211-E-008-011.",

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AU - Chang, Mei Shiang

AU - Chen, Huey Kuo

N1 - Funding Information: The authors would like to thank the National Science Council, Taiwan (R.O.C.), for nancially supporting this work under Contract Nos. NSC-87-2211-E-008-011.

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N2 - A link-based fuzzy user-optimal route choice problem embedding link interactions is formulated using the variational inequality approach. To avoid prohibitive arithmetic computations and by taking a plausible point estimate of each link travel time interval at a certain α-cut level, this fuzzy problem reduces to a crisp user-optimal route choice model, which may be readily solved by the so-called diagonalization method. The corresponding user-optimal conditions are explicitly stated and demonstrated by means of a numerical example.

AB - A link-based fuzzy user-optimal route choice problem embedding link interactions is formulated using the variational inequality approach. To avoid prohibitive arithmetic computations and by taking a plausible point estimate of each link travel time interval at a certain α-cut level, this fuzzy problem reduces to a crisp user-optimal route choice model, which may be readily solved by the so-called diagonalization method. The corresponding user-optimal conditions are explicitly stated and demonstrated by means of a numerical example.

KW - Diagonalization method

KW - User-optimal conditions Fuzzy variational inequality

KW - User-optimal route choice problem

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U2 - 10.1016/S0165-0114(98)00108-0

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EP - 345

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

A fuzzy user-optimal route choice problem using a link-based fuzzy variational inequality formulation

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Keywords

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