论文标题

FCFS排队模型具有任意服务器 - 工作兼容性的产品表格:概述

Product Forms for FCFS Queueing Models with Arbitrary Server-Job Compatibilities: An Overview

论文作者

Gardner, Kristen, Righter, Rhonda

论文摘要

近年来,已经研究了许多模型,这些模型涉及排队系统中的工作和服务器之间的不同兼容性,或者已经研究了匹配系统中的代理和资源之间,并且在马尔可夫假设和适当的稳定条件下,已经证明了固定分布具有产品形式。我们调查了这些结果,并展示了如何在对国家的适当详细描述下,许多是独立队列的类似结果的推论。我们还讨论了如何使用产品形式结果来确定稳态响应时间的分布。

In recent years a number of models involving different compatibilities between jobs and servers in queueing systems, or between agents and resources in matching systems, have been studied, and, under Markov assumptions and appropriate stability conditions, the stationary distributions have been shown to have product forms. We survey these results and show how, under an appropriate detailed description of the state, many are corollaries of similar results for the Order Independent Queue. We also discuss how to use the product form results to determine distributions for steady-state response times.

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