贝努利反馈下的有损坏的轮询系统  

Queue Systems with Bernoulli Feedback and Breakdowns

作　　者：黄红灯[1] 汪荣鑫[1] 

机构地区：[1]上海铁道大学应用数学研究所

出　　处：《上海铁道大学学报》1999年第6期55-60,共6页

基　　金：国家自然科学基金

摘　　要：在一般损坏的基础上，研究了贝努利反馈下的有损坏的轮询系统。指出，此系统可看成不带反馈的新系统。在新系统中，从发展方程出发，采用母函数和ＬＳ变换方法，分别研究了离开门限和穷尽服务规则下的系统。在离开门限服务情形，得出了平均忙期、平均剩余队长、一阶矩的递推公式和平均周期；在穷尽服务情形，得出了队长母函数的递推公式、平均忙期、成功服务次数、平均周期等量。This paper studied the polling system with breakdown under Bernoulli feedback on the basis of formal results of general breakdown.It was pointed out that this system could be regarded as a new system without feedback. In the new system,methods of generating function and L-S transform from the evolution were adopted to research the polling system under departure gate and exhaustive service regimes respectively.In the first case,we achieved mean busy period,mean number of clients lefe behind at server's station departure moments,first-order moments and mean cyclic time.In the second case,we got the GFP of queue size,mean busy period,mean number of clients successfully serviced at station i,mean cyclic time,etc.

关 键 词：排队论 损坏 贝努力利反馈 离开门限 轮询系统 

分 类 号：O226[理学—运筹学与控制论]