Equilibrium customer strategies in Markovian queues with partial breakdowns

Equilibrium customer strategies in Markovian queues with partial breakdowns
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马尔可夫队列中部分故障的均衡客户策略

DOI:
10.1016/j.cie.2013.09.023
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发表时间:
2013-12
期刊:
Computers & Industrial Engineering
影响因子:
--
通讯作者:
Zhang Feng
Zhang Feng
中科院分区:
其他
文献类型:
--
作者:
Li Le;Wang Jinting(王金亭);Zhang Feng

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我们考虑具有工作故障的单服务器马尔可夫排队系统的均衡分析。系统在运行过程中随时可能出现故障。然而,当系统出现故障时,服务不会完全停止,而是以较慢的速度继续。我们假设到达的客户根据自然的奖励成本结构决定是否加入系统或拒绝。在考虑等待成本和报酬的情况下,研究了顾客的犹豫行为,并推导了相应的纳什均衡策略。通过数值实验进一步说明了信息水平对平衡行为的影响。
We consider equilibrium analysis of a single-server Markovian queueing system with working breakdowns. The system may become defective at any point of time when it is in operation. However, when the system is defective, instead of stopping service completely, the service continues at a slower rate. We assume that the arriving customers decide whether to join the system or balk based on a natural reward-cost structure. With considering waiting cost and reward, the balking behavior of customers is investigated and the corresponding Nash equilibrium strategies are derived. The effects of the information level on the equilibrium behavior are illustrated further via numerical experiments.
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