带有止步和中途退出的优先权排队系统
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引用本文:侯珍珍,岳德权,陈晓红,裴秀艳.带有止步和中途退出的优先权排队系统[J].经济数学,2012,(3):36-41
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作者单位
侯珍珍,岳德权,陈晓红,裴秀艳 (燕山大学 理学院河北 秦皇岛 066004) 
中文摘要:研究了一个带有止步和中途退出的优先权排队系统,其中系统中有两类顾客,第一类顾客具有优先权,而且可能中途退出,第二类顾客可能止步和中途退出.首先,建立了系统稳态概率满足的方程组.其次,采用分块矩阵的方法得到了两类顾客的稳态分布,并且得到了系统中两类顾客的的平均队长、平均中途退出率等性能指标.最后,进行了相应的性能分析与比较,为系统的优化设计提供了参考.
中文关键词:排队系统  优先权  止步  中途退出  稳态概率  队长
 
A Priority Queuing System with Balking and Reneging
Abstract:We studied a priority queue with balking and reneging, where there are two-class customers. The class-1 customers have priority and reneging, and the class-2 customers have balking and reneging. First ,we obtained the steady-state probability equations. Then we derived the steady-state probability distribution of the two-class customers by using block matrix solution method. Some performance measures of the system, such as the expected number of customers in the system , the average rate of the customer reneging, were obtained. Finally, the performance was analyzed by numerical examples, which provides a basis for optimal design.
keywords:queuing system  priority  balking  reneging  steady-state probability  queue size
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