@article{ART001660419},
author={김준우},
title={Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers},
journal={Journal of Knowledge Information Technology and Systems},
issn={1975-7700},
year={2012},
volume={7},
number={2},
pages={59-66},
doi={}
TY - JOUR
AU - 김준우
TI - Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers
JO - Journal of Knowledge Information Technology and Systems
PY - 2012
VL - 7
IS - 2
PB - Korea Knowledge Information Technology Society
SP - 59
EP - 66
SN - 1975-7700
AB - Queueing theory is widely applied to obtain the performance measures such as average waiting time and average queue length of various service systems. M/M/c model, so called Erlang-C, and its variants are widely used for this purpose, and such simple queueing models assume that the servers are stochastically identical, however, the service rates of the servers in practical service systems can be different from each other according to their skills or job preferences. This paper considers a Markov queueing system where stochastically identical customers are handled by inhomogeneous 2 servers, and analyzes the characteristics of the arrival-point-state dependency occurred in such systems. Next, this paper proposes a simple method for computing the performance measures of the inhomogeneous 2-server queueing system, and numerical tests reveal that a server with relatively high service rate can significantly enhance the performance measures of the system even if the other one has lower service rate.
KW - Queueing Theory;Inhomogeneous Servers;2-Server System;Dependency;Operations Research
DO -
ER -
김준우. (2012). Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers. Journal of Knowledge Information Technology and Systems, 7(2), 59-66.
김준우. 2012, "Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers", Journal of Knowledge Information Technology and Systems, vol.7, no.2 pp.59-66. Available from: doi:
김준우 "Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers" Journal of Knowledge Information Technology and Systems 7.2 pp.59-66 (2012) : 59.
김준우. Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers. 2012; 7(2), 59-66. Available from: doi:
김준우. "Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers" Journal of Knowledge Information Technology and Systems 7, no.2 (2012) : 59-66.doi:
김준우. Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers. Journal of Knowledge Information Technology and Systems, 7(2), 59-66. doi:
김준우. Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers. Journal of Knowledge Information Technology and Systems. 2012; 7(2) 59-66. doi:
김준우. Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers. 2012; 7(2), 59-66. Available from: doi:
김준우. "Arrival Point State Dependency of Queueing Systems Consisted of Inhomogeneous Servers" Journal of Knowledge Information Technology and Systems 7, no.2 (2012) : 59-66.doi:
