首页 | 本学科首页   官方微博 | 高级检索  
     检索      


On queueing with customer impatience until the beginning of service
Authors:Movaghar  Ali
Institution:(1) Department of Computer Engineering, Sharif University of Technology, Tehran, Iran
Abstract:We study queueing systems where customers have strict deadlines until the beginning of their service. An analytic method is given for the analysis of a class of such queues, namely, 
$$\begin{gathered} + \hfill \\ M\left( n \right)/M/m/FCFS + G \hfill \\ \end{gathered}$$
models. These are queues with state-dependent Poisson arrival process, exponential service times, multiple servers, FCFS service discipline, and general customer impatience. The state of the system is viewed to be the number of customers in the system. The principal measure of performance is the probability measure induced by the offered waiting time. Other measures of interest are the probability of missing deadline and the probability of blocking. Closed-form solutions are derived for the steady-state probabilities of the state process and some important modeling variables and parameters. The efficacy of our method is illustrated through a numerical example. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:queue  impatient customers  deadline  state-dependent Poisson process
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号