Study of a passenger-taxi queueing system with nonzero matching time
Document Type
Conference paper
Source Publication
2015 12th International Conference on Service Systems and Service Management, ICSSSM 2015
Publication Date
1-1-2015
Publisher
Institute of Electrical and Electronics Engineers Inc.
Abstract
In this paper, we study a passenger-taxi queueing systems in which nonzero matching time is considered. We assume that passengers and taxi drivers who arrive at a taxi station independently form two queues, and the waiting space for taxis is limited. We use a two-dimensional Markov process to model the system. By using matrix-analytic method, we give a sufficient condition that ensures the existence of steady-state probabilities and present an algorithm to calculate the joint steady-state probabilities. Further, we consider the tail distributions of sojourn times of passengers and taxi drivers, which can be computed by algorithms we present in this paper. And by running Matlab programs, we give the numerical results about the performance measures of the system.
DOI
10.1109/ICSSSM.2015.7170154
Publisher Statement
Copyright © 2015 IEEE. Access to external full text or publisher's version may require subscription.
Additional Information
Paper presented at the 2015 12th International Conference on Service Systems and Service Management (ICSSSM), 22-24 June 2015, Guangzhou, China.
ISBN of the source publication: 9781479983285
Full-text Version
Publisher’s Version
Language
English
Recommended Citation
Shi, Y., Lian, Z., & Shang, W. (2015). Study of a passenger-taxi queueing system with nonzero matching time. In 2015 12th International Conference on Service Systems and Service Management, ICSSSM 2015. Institute of Electrical and Electronics Engineers Inc. doi: 10.1109/ICSSSM.2015.7170154