| 摘要: |
| 考虑在带有延迟启动以及两类故障特性的M/M/1排队系统中,顾客应遵循的进队策略和该策略下的社会平均收益，服务台采取延迟启动休假模式，可能发生完全故障和不完全故障两类故障，在系统信息完全可见的条件下，根据线性“获益-损失”函数，给出顾客的预期收益方程，并通过稳态时的系统状态转移图，结合归一化方程求系统的稳态分布，在结尾通过数值例子展示顾客止步策略和社会平均收益关于系统参数的敏感性。 |
| 关键词: 完全故障 不完全故障 延迟启动 均衡进队策略 社会平均收益 |
| DOI： |
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| Equilibrium Strategies for M/M/1 Queuing System with Setup Time and Two Types of Failures |
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WANG Wen-jie, LIU Li-wei, YE Qing-qing1,2
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1.School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Mathematics and Statistics, Nanjing University of Information and Technology, Nanjing 200044, China
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| Abstract: |
| In the M/M/1 queuing system with delay setup time and two types of failures, the strategy that customers should follow to enter the queue and the average social benefits by using this strategy are considered. The service desk uses the delay setup vocation mode,which may cause two kinds of failures:complete failure and incomplete failure.Under the condition that the system information is fully observable, according to linear “benefit-loss” function, the expected reward equation of customers is given. Moreover, the steady-state distribution of the queuing system is obtained by system state transition in the stable state diagram and by combining with the normalization equation. At the end of this article,numerical examples show the sensitivity of customers balking strategies and social average benefit to system parameters. |
| Key words: complete failure incomplete failure delay setup equilibrium entry strategy social average benefit |
