Title

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

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

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