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Mathematical Problems in Engineering
Volume 2015, Article ID 641418, 11 pages
http://dx.doi.org/10.1155/2015/641418
Research Article

The Effect of the Integrated Service Mode and Travel Time Uncertainty on Taxis Network Equilibrium

School of Transportation Science and Engineering, Harbin Institute of Technology, No. 73, Huanghe River Road, Nangang District, Harbin, Heilongjiang Province 150090, China

Received 2 May 2015; Revised 12 July 2015; Accepted 21 July 2015

Academic Editor: Xiaosong Hu

Copyright © 2015 Jian Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper aims to discuss the trip mode choice problem by using cumulative prospect theory (CPT) rather than utility maximization from the network uncertainty perspective and evaluates the effect of the integrated service mode on taxi network equilibrium. The integrated service mode means taxis either are actively moving through traffic zones to pick up customers (cruising mode) or are queued at the center of a zone waiting for customers (dispatch mode). Based on this, CPT models are adopted to analyze the choice of customers’ trip mode. The travel time uncertainty of the network and the applicability of CPT are considered first, and the Nested Logit model was used to complete the trip mode split problem. Further, several relevant relationships including supply-demand equilibrium, network conditions, taxi behavior, and customer behavior perspectives were analyzed with respect to the integrated mode. Moreover, a network equilibrium model was established and its algorithm was designed. Finally, this paper presented a numerical example and discussed the taxi network equilibrium’s characteristic after introducing the integrated service mode.