| 基于交互环境下的Geom/Geom/1清空排队系统的顾客止步策略 |
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| 引用本文： | 张淑芳.基于交互环境下的Geom/Geom/1清空排队系统的顾客止步策略[J].太原师范学院学报(自然科学版),2013(3):22-26. |
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| 作者姓名： | 张淑芳 |
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| 作者单位： | 山西大学数学科学学院,山西太原030006 |
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| 摘 要： | 在交互环境下,顾客以Bernoulli过程到达排队系统,并且服务时间服从几何分布的清空排队系统.首先建立"收入-支出"函数,并利用函数单调性对顾客的止步策略进行分析,然后通过数值实验讨论顾客止步策略对于相关参数的敏感度.
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| 关 键 词： | 清空排队系统 交互环境 稳态分布 “收入-支出” 均衡策略 |
Equilibrium Balking Strategies for a Geom/Geom/1 Clearing Queueing System in Alternating Environment |
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| Zhang Shufang.Equilibrium Balking Strategies for a Geom/Geom/1 Clearing Queueing System in Alternating Environment[J].Journal of Taiyuan Normal University:Natural Science Edition,2013(3):22-26. |
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| Authors: | Zhang Shufang |
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| Institution: | Zhang Shufang (College of Mathematical Sciences, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | To consider the balking strategies of customers in clearing queueing system, where the customers are accumulated according to a Bernoulli arrival process and the service time of the customers are assumed to be identically distributed geometricalrandom variables. In this case,to analyse equilibrium balking strategies via the monotonicity of the reward-cost function. Then, we illustrate the effects of the system parameters on the equilibrium behavior by numerical experiments. |
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| Keywords: | clearing queueing alternating environment stationary distribution reward-cost equilibrium strategies |
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