Analysis of Two-Server Queueing System with impatient customers and a Synchronous Vacation Policy
In this paper, we carry out an analysis for a queueing system with impatient customers and a synchronous vacation policy. Customers arrive according to a Poisson process, and two parallel servers provide heterogeneous exponential service to customers on a first-come first-served basis. It is assumed that arriving customers balk with a probability and renege according to an exponential distribution when both servers are unavailable. At a service completion instant if there are no customers in the system, the two servers take a vacation together. For this system, we first develop the equations of the steady-state probabilities. Then, we derive a matrix form solution for the steady-state probabilities. Finally, we give some performance measures of the system such as the expected number of waiting customers, the expected number of the customers in the system, and the average rate of customer loss due to impatience.
Queueing System Poisson Process Synchronous Vacation Balking and Reneging Impatience
Dequan Yue Haiying Li Wenjie Xu Ruiling Tian
College of Science, Yanshan University, Qinhuangdao 066004, China College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China College of Science, Yanshan University, Qinhuangdao 066004, China College of Economics and Managemen
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
4064-4068
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）