THE IMPACTS OF CUSTOMERS’ DELAY-RISK SENSITIVITIES ON A QUEUE WITH BALKING

THE IMPACTS OF CUSTOMERS’ DELAY-RISK SENSITIVITIES ON A QUEUE WITH BALKING
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客户延迟风险敏感性对犹豫队列的影响

DOI:
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发表时间:
2009
期刊:
Probability in the engineering and informational sciences (Print)
影响因子:
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通讯作者:
Paul H. Zipkin
Paul H. Zipkin
中科院分区:
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文献类型:
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作者:
Pengfei Guo;Paul H. Zipkin

文献摘要

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拥挤及其不确定性是影响顾客排队或犹豫的重要因素。在排队系统中,拥塞本身是由其他顾客的聚集加入行为引起的。因此,到达顾客群体的性质影响排队的均衡行为。在本文中,我们假设每个单独的客户有一个效用函数,其中包括一个基本的成本函数,共同的所有客户,和客户特定的权重测量延迟的敏感性。研究了不同的成本函数和权重分布对系统的平均顾客效用和吞吐量的影响。具体来说,我们比较系统中,这些参数相关的各种随机顺序,在不同的信息场景。我们还探讨了客户特征和信息价值之间的关系。
Congestion and its uncertainty are big factors affecting customers’ decision to join a queue or balk. In a queueing system, congestion itself is resulted from the aggregate joining behavior of other customers. Therefore, the property of the whole group of arriving customers affects the equilibrium behavior of the queue. In this paper, we assume each individual customer has a utility function which includes a basic cost function, common to all customers, and a customer-specific weight measuring sensitivity to delay. We investigate the impacts on the average customer utility and the throughput of the queueing system of different cost functions and weight distributions. Specifically, we compare systems where these parameters are related by various stochastic orders, under different information scenarios. We also explore the relationship between customer characteristics and the value of information.