TY - GEN
T1 - Study of a passenger-taxi queueing system with nonzero matching time
AU - SHI, Ying
AU - LIAN, Zhaotong
AU - SHANG, Weixin
N1 - Paper presented at the 2015 12th International Conference on Service Systems and Service Management (ICSSSM), 22-24 June 2015, Guangzhou, China.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://commons.ln.edu.hk/sw_master/6803
UR - http://www.scopus.com/inward/record.url?scp=84948143256&partnerID=8YFLogxK
U2 - 10.1109/ICSSSM.2015.7170154
DO - 10.1109/ICSSSM.2015.7170154
M3 - Conference paper (refereed)
SN - 9781479983292
SN - 9781479983285
SP - 100
EP - 104
BT - 2015 12th International Conference on Service Systems and Service Management, ICSSSM 2015
PB - Institute of Electrical and Electronics Engineers Inc.
CY - Piscataway
ER -