Economic analysis of M/M/c/N queue with retention of impatient customers
Economic analysis of M/M/c/N queue with retention of impatient customers
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DOI：
10.1504/ijmor.2013.057488
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发表时间：
2013-11
期刊：
影响因子：
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通讯作者：
Rakesh Kumar;S. Sharma
中科院分区：
文献类型：
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作者：
Rakesh Kumar;S. Sharma
研究了一类具有顾客不耐烦的有限容量多服务台马尔可夫排队模型，该模型考虑了保有不耐烦顾客的概率。这种留住不耐烦客户的理念在创收排队系统中具有重要意义。本文所建立的排队模型是处理顾客不耐烦问题的基本排队模型的新发展。求出了模型的稳态解，并计算了不同的有效性指标。研究发现，系统中期望的客户数量随着保留不耐烦客户的概率(比如Q)的增加而增加。对该模型的经济方面也进行了讨论。已经观察到，随着留住不耐烦客户的概率的增加，系统的总期望利润稳步增加。这种分析可能会通过了解与之相关的成本和利润，帮助决策者决定制定不同的客户保留战略。
This paper investigates a finite capacity multi-server Markovian queuing model with customer impatience in which the probability of retaining the impatient customers is incorporated. This concept of retaining the impatient customers has a great significance in revenue generating queuing systems. The queuing model developed in this paper is a new advancement in the fundamental queuing models dealing with reneging (customer impatience). The steady-state solution of the model has been obtained and different measures of effectiveness have been computed. It has been found that the expected number of customers in the system increases as the probability of retaining the impatient customers (say, q) increases. The economic aspects of the model have also been discussed. It has been observed that the total expected profit of the system increases steadily with the increase in the probability of retaining the impatient customers. Such analysis may help decision makers decide about the formulation of different customer retention strategies by knowing costs and profits associated with them.