An Infinite-Dimensional Variational Inequality Formulation and Existence Result for Dynamic User Equilibrium with Elastic Demands

Autor:	Han, Ke, Friesz, Terry L., Yao, Tao
Rok vydání:	2013
Předmět:	Mathematics - Optimization and Control Mathematics - Dynamical Systems 90B10 90B20 91A10
Druh dokumentu:	Working Paper
Popis:	This paper is concerned with dynamic user equilibrium (DUE) with elastic travel demand (E-DUE). We present and prove a variational inequality (VI) formulation of E-DUE using measure-theoretic argument. Moreover, existence of the E-DUE is formally established with a version of Brouwer's fixed point theorem in a properly defined Hilbert space. The existence proof requires the effective delay operator to be continuous, a regularity condition also needed to ensure the existence of DUE with fixed demand (Han et al., 2013c). Our proof does not invoke the a priori upper bound of the departure rates (path flows). Comment: 19 pages. arXiv admin note: text overlap with arXiv:1211.4614, arXiv:1304.5286
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1305.1276 Zobrazit plný text záznamu View this record from Arxiv