使用矩阵几何技术的性能建模

Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems Pub Date : 1994-01-31 DOI:10.1109/MASCOT.1994.284430

B. Haverkort, A. Moorsel, D. Speelman

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引用次数: 4

摘要

在过去的二十年中，人们在矩阵几何技术的发展和应用上付出了相当大的努力，以分析(嵌入式)马尔可夫链具有规则结构的排队系统。然而，大多数工作都是在数学环境或纯粹面向应用的环境中提出的。在本文中，我们介绍了XMGM，这是一种性能分析工具，它允许用户根据到达间隔和服务时间分布轻松地指定排队系统。然后XMGM负责将此描述转换为显示矩阵几何解的底层马尔可夫链。随后，它负责推导用户指定的度量。对于XMGM，模型是通过C过程调用指定的。这是对排队系统建模的一种非常灵活的方法;它还允许在参数范围内方便地评估模型

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XMGM: performance modeling using matrix geometric techniques

Over the last two decades a considerable amount of effort has been put in the development and application of matrix geometric techniques for the analysis of queueing systems of which the (embedded) Markov chain exhibits a regular structure. Most of this work however has been presented in either a mathematical context or an a purely application-oriented context. In this paper we present XMGM, a performance analysis tool which allows its users to easily specify queueing systems in terms of interarrival and service time distributions. XMGM then takes care of the translation of this description to an underlying Markov chain that exhibits a matrix geometric solution. Subsequently, it takes care of the derivation of the measures specified by the user. With XMGM models are specified via C procedure calls. This turns out to be a very flexible approach for modelling queueing systems; it also allows for the easy evaluation of models over parameter ranges.<>

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Proceedings of International Workshop on Modeling, Analysis and Simulation of Computer and Telecommunication Systems

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