A Heterogeneous Two-Server Queueing System with Balking and Server Breakdowns
In this paper,we study an M/M/2 queueing system with balking and two heterogeneous servers,Server 1 and server 2.Customers arrive according to a Poisson process and form a single waiting line. Two parallel servers provide heterogeneous exponential service to customers on a first come first-served basis.It is assumed that Server 1 is perfectly reliable and server 2 is subject to breakdowns.For this system,we obtain the stationary condition where the system reaches a steady state.We also obtain the steadystate probabilities in a matrix form by using a matrix-geometric solution method.Finally,we produce explicit expressions of some performance measures such as the mean system size,the average balking rate and the probabilities that Server 2 is in various states.Numerical illustrations are also provided.
Queueing system balking breakdowns matriz-geometric solution mean system size
Dequan Yue Wuyi Yue Jun Yu Ruiling Tian
Department of Statistics,College of Science,Yanshan University,Qinhuangdao 066004,China Department of Intelligence and Informatics,Konan University,Kobe 658-8501,Japan
国际会议
张家界
英文
230-244
2009-09-20（万方平台首次上网日期，不代表论文的发表时间）