Traffic network analysis via multidimensional split variational inequality problem with multiple output sets-Reference-Cited by-同舟云学术

Traffic network analysis via multidimensional split variational inequality problem with multiple output sets

Published:2024 Issue:1 Volume:19 Page:169-195
ISSN:1556-1801
Container-title:Networks and Heterogeneous Media
language:
Short-container-title:NHM

Author:

Alakoya Timilehin O.¹,Ghosh Bidisha²,Moutari Salissou¹,Pakrashi Vikram³,Ramachandra Ranganatha B.²

Affiliation:

1. Mathematical Sciences Research Centre, School of Mathematics and Physics, Queen's University Belfast, University Road, Belfast BT71NN, United Kingdom

2. QUANT Group, Department of Civil, Structural and Environmental Engineering, Trinity College Dublin, Dublin, Ireland

3. UCD Centre for Mechanics, Dynamical Systems and Risk Laboratory, School of Mechanical and Materials Engineering, University College Dublin, Dublin, Ireland

Abstract

<abstract><p>In this study, we introduce and investigate a new class of split inverse problems, comprising a multidimensional parameter of evolution, which we call the multidimensional split variational inequality problem with multiple output sets. To demonstrate its applicability, we formulate the equilibrium flow of multidimensional traffic network models for an arbitrary number of locations. We define a multidimensional split Wardrop condition with multiple output sets and establish its equivalence with the formulated equilibrium flow of multidimensional traffic network models. We then establish the existence and uniqueness of equilibria for our proposed model. In addition, we propose a method for solving the introduced problem. We then validate our results using some numerical experiments.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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