Performance and cost analysis of a finite capacity queue with two heterogeneous servers under F-policy

Q3 Business, Management and Accounting

International Journal of Services Operations and Informatics Pub Date : 2018-06-26 DOI:10.1504/IJSOI.2018.10014016

D. Yang, N. Yang

引用次数: 7

Abstract

All previous works on F-policy queues with multiple servers have focused on multiple homogeneous servers. This paper presents an analytical analysis on the F-policy M/M/2/K queue with heterogeneous servers. We obtained the steady-state distribution of the number of customers in the system and developed a variety of performance measures. The expected cost function was constructed to determine the optimal threshold value and optimal service rates with the objective of minimising the expected cost per unit time. To this end, we developed an algorithm based on the quasi-Newton method to solve the problem of cost minimisation. Finally, sensitivity analysis was conducted using numerical examples.

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f策略下具有两个异构服务器的有限容量队列的性能和成本分析

以前关于具有多个服务器的F-policy队列的所有工作都集中在多个同构服务器上。本文对具有异构服务器的F-policy M/M/2/K队列进行了解析分析。我们得到了系统中客户数量的稳态分布，并制定了各种性能指标。以单位时间期望成本最小为目标，构造期望成本函数，确定最优阈值和最优服务率。为此，我们开发了一种基于准牛顿法的算法来解决成本最小化问题。最后，通过数值算例进行了灵敏度分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Services Operations and Informatics Business, Management and Accounting-Management Information Systems

CiteScore

1.60

自引率

0.00%

发文量

期刊介绍： The advances in distributed computing and networks make it possible to link people, heterogeneous service providers and physically isolated services efficiently and cost-effectively. As the economic dynamics and the complexity of service operations continue to increase, it becomes a critical challenge to leverage information technology in achieving world-class quality and productivity in the production and delivery of physical goods and services. The IJSOI, a fully refereed journal, provides the primary forum for both academic and industry researchers and practitioners to propose and foster discussion on state-of-the-art research and development in the areas of service operations and the role of informatics towards improving their efficiency and competitiveness.