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Generalised analytic queueing network models. The need, creation, development and validation of mathematical and computational tools for the construction of analytic queueing network models capturing more critical system behaviour.

机译:广义解析排队网络模型。建立捕获更多关键系统行为的分析排队网络模型的数学和计算工具的需求,创建,开发和验证。

摘要

Modelling is an important technique in the comprehension andudmanagement of complex systems. Queueing network models captureudmost relevant information from computer system and networkudbehaviour. The construction and resolution of these models isudconstrained by many factors. Approximations contain detail lostudfor exact solution and/or provide results at lower cost thanudsimulation.udInformation at the resource and interactive command level isudgathered with monitors under ULTRIX'. Validation studies indicateudcentral processor service times are highly variable on theudsystem. More pessimistic predictions assuming this variabilityudare in part verified by observation.udThe utility of the Generalised Exponential (GE) as auddistribution parameterised by mean and variance is explored.udSmall networks of GE service centres can be solved exactly usingudmethods proposed for Generalised Stochastic Petri Nets. For twoudcentre. systems of GE type a new technique simplifying the balance equations is developed. A very efficient "building bglloocbka"l.udis presented for exactly solving two centre systems with serviceudor transfer blocking, Bernoulli feedback and load dependent rate,udmultiple GE servers. In the tandem finite buffer algorithm theudbuilding block illustrates problems encountered modelling highudvariability in blocking networks. ':ud. _.udA parametric validation study is made of approximations forudsingle class closed networks of First-Come-First-Served (FCFS)udcentres with general service times. The multiserver extensionudusing the building block is validated. Finally the MaximumudEntropy approximation is extended to FCFS centres with multipleudchains and implemented with computationally efficientudconvolution.
机译:建模是理解和管理复杂系统的重要技术。排队网络模型从计算机系统和网络中捕获最相关的信息行为。这些模型的构造和分辨率受许多因素的约束。近似值包含详细的信息 ud,以提供精确的解决方案和/或以低于 udsimulation的成本提供结果。 ud资源和交互式命令级别的信息由ULTRIX下的监视器收集。验证研究表明, ud处理器的服务时间在 udsystem上变化很大。假设此可变性的更多悲观预测部分通过观察证实。为广义随机Petri网提出。对于两个 udcentre。 GE类型的系统开发了一种简化平衡方程的新技术。提出了一种非常有效的“构建bglloocbka”文件。该文件可以精确地解决两个具有服务 udor传输阻塞,Bernoulli反馈和负载相关速率的中心系统, ud多个GE服务器。在串联有限缓冲算法中, udbuilding块说明了在建模阻塞网络中的高 udvariability时遇到的问题。 ': ud。 _.ud参数验证研究是对具有一般服务时间的,先到先服务(FCFS) udcentre的双类封闭网络的近似值。验证多服务器扩展使用该构件块。最终,Maxim udEntropy逼近被扩展到具有多个 udchain的FCFS中心,并以计算有效的 udconvolution实现。

著录项

  • 作者

    Almond John;

  • 作者单位
  • 年度 1988
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
  • 中图分类

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