Study of a passenger-taxi queueing system with nonzero matching time

Ying SHI, Zhaotong LIAN, Weixin SHANG

Research output: Book Chapters | Papers in Conference ProceedingsConference paper (refereed)

2 Citations (Scopus)

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.
Original languageEnglish
Title of host publication2015 12th International Conference on Service Systems and Service Management, ICSSSM 2015
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages100-104
Number of pages5
ISBN (Print)9781479983292, 9781479983285
DOIs
Publication statusPublished - 2015

Bibliographical note

Paper presented at the 2015 12th International Conference on Service Systems and Service Management (ICSSSM), 22-24 June 2015, Guangzhou, China.

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    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 (pp. 100-104). [15344203] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSSSM.2015.7170154