| 基于最大熵的延迟启动/关闭N策略M/G/1可修排队稳态队长分布 |
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| 引用本文： | 赵丹,邓斌.基于最大熵的延迟启动/关闭N策略M/G/1可修排队稳态队长分布[J].数学的实践与认识,2010,40(18). |
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| 作者姓名： | 赵丹 邓斌 |
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| 基金项目： | 国家自然科学基金，教育部人文社会科学资助项目 |
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| 摘 要： | 研究具有延迟启动-关闭的N策略M/G/1可修排队系统,利用最大熵方法导出稳态队长分布的解析解,进一步得到基于最大熵的顾客平均等待时间.通过比较顾客的平均等待时间来检验最大熵方法的精度,结果表明基于最大熵方法得到的稳态队长分布是相当精确的.
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| 关 键 词： | N策略 启动-关闭 最大熵 队长分布 等待时间 |
The Stationary Queue-length Distribution for the Repaired M/G/1 queue under N-policy with Delayed Startup-Closedown Based on the Maximum Entropy |
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| ZHAO Dan,DENG Bin.The Stationary Queue-length Distribution for the Repaired M/G/1 queue under N-policy with Delayed Startup-Closedown Based on the Maximum Entropy[J].Mathematics in Practice and Theory,2010,40(18). |
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| Authors: | ZHAO Dan DENG Bin |
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| Abstract: | This paper considers the repaired M/G/1 queue under N-policy with delayed startup and closedown.By the maximum entropy approach,the steady-state probability distribution of the queue length is obtained.Furthermore,the expected waiting time in the queue is also investigated based on the maximum entropy.By comparing the expected waiting time,the precision of the maximum can be checked.The results indicate that the steady-state probability distribution of the queue length based on the maximum entropy method is accurate enough. |
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| Keywords: | N-policy startup-closedown maximum entropy queue-length distribution waiting time |
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