Performance Analysis of a Geom/Geom/1 Queueing System with Variable Input Probability
In this paper,we present a Geom/Geom/1 queueing model with a variable input probability based on the queue length. In this queueing model,an arriving customer,who sees many customers waiting for service in the system queue,will consider whether to enter the queue or not. We consider the possibility that the customer enters the system to receive service to be a probability and call this probability Input Probability. We derive the transition probability matrix of the birth and death chain of the queueing model. Using the approach of birth and death process,we gain the probability distributions of the stationary queue length and the waiting time in the queueing model. We also derive some performance measures of some specific queueing models. Finally,we compare the effct of the parameters on the stationary waiting time of these queueing models by using numerical results.
Variable input probability approach of birth and death processes mixed disciplines Bernoulli access process
Zhanyou Ma Wuyi Yue Naishuo Tian
College of Science Yanshan University Qinhuangdao 066004,CHINA Department of Intelligence and Informatics Konan University Kobe 658-8501,JAPAN
国际会议
北京
英文
212-215
2010-07-24（万方平台首次上网日期，不代表论文的发表时间）