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A Common Model for the Approximate Analysis of Tandem Queueing Systems With Blocking

机译：带阻塞的串联排队系统近似分析的通用模型

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摘要

This work proposes a common model that unifies several approximate methods for the analysis of tandem queueing systems with blocking. Two abstract functions are introduced to characterize the relationship between starvation and blockage in neighboring machines. Using the functions, the equilibrium equations are determined, and a general procedure is developed to solve them. The sufficient conditions for the existence and uniqueness of a solution are obtained. More generally, the proposed model leads to the concept of a bidirectional cascade system, in which each subsystem has both forward and backward inputs and forward and backward outputs. Finally, the theory of the common model is applied to specific systems to demonstrate its applicability.
机译：这项工作提出了一个通用模型，该模型统一了用于分析带有阻塞的串联排队系统的几种近似方法。引入了两个抽象函数来表征相邻机器中饥饿和阻塞之间的关系。使用这些函数确定平衡方程，并开发出通用的方法来求解它们。获得了溶液存在和唯一性的充分条件。更一般地，所提出的模型导致了双向级联系统的概念，其中每个子系统都具有正向和反向输入以及正向和反向输出。最后，将通用模型的理论应用于特定系统以证明其适用性。

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