| 有门限N且服务速度可变的可修M/G(M/M)/1排队系统 |
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| 引用本文： | 王聚丰,朱翼隽,孙凤欣. 有门限N且服务速度可变的可修M/G(M/M)/1排队系统[J]. 江苏大学学报(自然科学版), 2002, 23(5): 13-18 |
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| 作者姓名： | 王聚丰 朱翼隽 孙凤欣 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013;宁波高等专科学校,浙江,宁波,315016 |
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| 基金项目： | 江苏省自然科学基金资助项目 (BK970 47),江苏省教育厅基金资助项目 (0 0KJT110 0 0 3 ) |
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| 摘 要： | 当今有关可修M G 1排队系统已作了很多的研究 ,获得了许多成果 ;笔者对此作了进一步的推广 ,通过对系统顾客数设置门限N ,研究了服务台的服务速度会随着系统中顾客数发生变化的可修M G(M M ) 1排队系统 ,其服务速度的转变规则是一开始服务台以速度 1进行服务 ,一旦系统中的顾客人数超过设置的门限值时就即刻以服务速度 2服务顾客直到系统变空 通过L -变换、母函数以及补充变量方法得到了各状态值的瞬态微分方程解、稳态解及一些可靠性结果
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| 关 键 词： | 排队论 L-变换 补充变量法 可靠性 |
| 文章编号： | 1671-7775(2002)05-0013-06 |
| 修稿时间： | 2002-06-30 |
The Repairable M/G(M/M)/1 Queueing Systems with Changeable Service Speed under an N-threshold |
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| WANG Ju feng ,ZHU Yi jun ,SUN Feng xin. The Repairable M/G(M/M)/1 Queueing Systems with Changeable Service Speed under an N-threshold[J]. Journal of Jiangsu University:Natural Science Edition, 2002, 23(5): 13-18 |
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| Authors: | WANG Ju feng ZHU Yi jun SUN Feng xin |
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| Affiliation: | WANG Ju feng 1,ZHU Yi jun 1,SUN Feng xin 2 |
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| Abstract: | Much has been done concerning repairable M/G/1 queueing systems and many valuable results have been obtained. In this paper, by setting an N threshold in the queueing we consider a repairable M/G(M/M)/1 queueing system whose service speed can be changed according to the number of the customers in the system. The discipline of speed change is that if the number exceeds the threshold N, the Speed Two should be used to serve customers at once untill there is no customer in queue. By the method of supplementary variable and L transition, we obtain the distribution of the queue length and some reliability indexes. |
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| Keywords: | repairable queueing systems theory L ? transition supplementary variable method reliability |
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