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Priority disciplined queuing models with fuzzy

机译:具有模糊优先级的排队模型

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摘要

This work constructs the membership functions of the system characteristics of Priority Disciplined Queuing models with Fuzzy parameters (preemptive priority, non preemptive priority) in which the arrival rate, service rate are fuzzy numbers. The α – cut approach is used to transform a fuzzy queue into a family of conventional crisp queues in this context. Approximate method of Extension is used to define membership functions of the performance measures of priority queuing system. We propose a fuzzy nature in FMi/FFi/1 queuing system and arrivals and services from a single server follows a Poisson process with fuzzy parameters. In this paper we study the models with different service times across different classes. Numerical example is illustrated to check the validity of the proposed method.
机译:这项工作构造了具有模糊参数(抢先优先级,非抢先优先级)的优先纪律排队模型系统特征的隶属函数,其中到达率,服务率是模糊数。在这种情况下,使用α–cut方法将模糊队列转换为一系列常规的脆脆队列。扩展的近似方法用于定义优先级排队系统的性能度量的隶属函数。我们提出了FMi / FFi / 1排队系统的模糊性质,并且来自单个服务器的到达和服务遵循带有模糊参数的Poisson过程。在本文中,我们研究了在不同类别中具有不同服务时间的模型。数值例子说明了该方法的有效性。

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