Analysis of a busy period queuing system with balking, reneging and motivating

Analysis of a busy period queuing system with balking, reneging and motivating
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含犹豫、食言和激励的繁忙时段排队系统分析

DOI:
10.1016/j.apm.2018.07.053
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发表时间:
2018-12
影响因子:
5
通讯作者:
Bin Zhang
Bin Zhang
中科院分区:
工程技术2区
文献类型:
--
作者:
Qiangqiang Wang;Bin Zhang

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模型广泛应用于生产、库存和服务行业。刻画实际排队特性是提高排队模型性能的基础。本文考虑了多服务台忙碌期排队系统中顾客可能退缩和变卦的不耐烦行为,研究了系统处于忙碌期时服务提供商为提高服务率而采取的策略行为。采用具有阈值结构的分段曲线构造动态输入概率、动态服务度和动态退出率,并将其引入到忙碌队列的止步、激励和退出行为的建模中。稳态概率和所提出的模型的性能指标。最后,通过一个实例与文献中的排队模型进行比较,验证了该模型的有效性。
Queuing model is widely applied in production, inventory and service industries. It is fundamental to improve the performance of queuing model by characterizing the practical queuing characteristics. In this paper, we consider impatient behaviors of customers who possibly balk and renege in a multi-server busy period queuing system, and study strategic behavior of the service provider who attempts to improve service rate when the system is busy. The piecewise curves with threshold structure are used to construct the dynamic inputting probability, dynamic service degree and dynamic reneging rate, and they are introduced to model the balking, motivating and reneging behaviors of the busy queue. The steady-state probabilities and the performance measures of the proposed model are derived. Finally, an empirical example is given to show the effectiveness of the proposed model by comparing it with the queuing model in literature.
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