| 服务速度依门限N波动的可修M/G(M/G)/1排队系统 |
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| 引用本文： | 王聚丰,梁方楚,朱翼隽. 服务速度依门限N波动的可修M/G(M/G)/1排队系统[J]. 江苏大学学报(自然科学版), 2003, 24(1): 30-34 |
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| 作者姓名： | 王聚丰 梁方楚 朱翼隽 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013;宁波高等专科学校基础部,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： | 有关可修M/G/1排队系统巳有很多成功的研究成果,笔者作了进一步的推广,通过对排队系统中的顾客数设置一个门限-N值,考虑研究了在服务台对某顾客服务结束时刻如果此时系统中的顾客数超过预先决定的门限N值则以服务强度2服务下一个顾客,反之,则以强度1服务的可修M/G（M/G）/1排队系统模型,通过L-变换、母函数以及补充变量法得到了瞬态队长分布、稳态队长分布及可用度等一些指标。
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| 关 键 词： | 排队论 母函数 补充变量法 可靠性 |
| 文章编号： | 1671-7775(2003)01-0030-05 |
| 修稿时间： | 2002-07-16 |
The Repairable M/G(M/G)/1 Queueing Systems with Fluctuant Service Speed under an N-threshold |
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| WANG Ju feng ,LIANG Fang chu ,ZHU Yi jun. The Repairable M/G(M/G)/1 Queueing Systems with Fluctuant Service Speed under an N-threshold[J]. Journal of Jiangsu University:Natural Science Edition, 2003, 24(1): 30-34 |
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| Authors: | WANG Ju feng LIANG Fang chu ZHU Yi jun |
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| Affiliation: | WANG Ju feng 1,LIANG Fang chu 2,ZHU Yi jun 1 |
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| Abstract: | Much has been done concerning repairable M/G/1 queueing systems and many important results have been obtained. In this paper, by setting an N -threshold in the queueing, we consider a repairable M/G(M/G)/1 queueing systems model whose service speed can be changed according to the following disciplines. At the moment of customers leaving the system, if the number of customers exceeds the threshold N , the speed two should be used to serve the next customer; otherwise, the speed one be used. 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: | queueing systems theory supplementary variable method reliability |
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