| 启动延迟N-策略批到达多重休假排队 |
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| 引用本文： | 刘名武,马永开.启动延迟N-策略批到达多重休假排队[J].数学的实践与认识,2011,41(13). |
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| 作者姓名： | 刘名武 马永开 |
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| 作者单位： | 1. 重庆交通大学管理学院,重庆,400074
2. 电子科技大学经济与管理学院,四川成都,610054 |
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| 基金项目： | 重庆交通大学科研启动基金(2011年第1批); 教育部人文社科基金(09YJC630248); 重庆市自然科学基金(2010JJ1152) |
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| 摘 要： | 目前N-策略批到达排队系统稳态队长分布难以给出解析解.提出一种新的递归算法研究顾客批到达,服务台延迟启动且多重休假的N-策略休假排队系统稳态队长分布.首先采用条件随机分解的方法得到稳态队长分布的概率母函数;然后采用递归算法推导附加队长分布的解析表达式;最后推导出稳态队长分布的递推关系式.
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| 关 键 词： | 排队系统 队长分布 递归算法 概率母函数 |
Batch-Arrival Queue with Multiple Vacations and Delayed Setup Times under N-policy |
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| LIU Ming-wu,MA Yong-kai.Batch-Arrival Queue with Multiple Vacations and Delayed Setup Times under N-policy[J].Mathematics in Practice and Theory,2011,41(13). |
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| Authors: | LIU Ming-wu MA Yong-kai |
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| Institution: | LIU Ming-wu~1,MA Yong-kai~2 (1.School of Management,Chongqing Jiaotong University,Chongqing 400074,China) (2.School of Management and Economics,University of Electronic Science and Technology of China,Chengdu 610054,China) |
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| Abstract: | It's difficult to obtain the stationary queue-length distribution for the batch arrival queue under N-policy at present.This paper proposes a new recursion approach studying the batch arrival queue with the server delayed setup and multiple vacations under N-policy. Firstly,by the conditional stochastic decomposition method,the probability distribution function of the steady state queue-length distribution is derived.Next,the analytical expressions of the additional queue-length distributions are achieved.F... |
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| Keywords: | queueing system queue-length distribution recursion algorithm probability distribution function |
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