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Journals ACM SIGMETRICS Performance Evaluation Review Volume 19 Issue 2

to computer systems analysis is demonstrated using a simple machine repairman model, and a central server model of a timesharing system. Chapter 33, Operational Laws, presents techniques for solving queueing network models. The utilization law, the forced flow law, Little's law, the general response time law, and the interactive response time law are discussed. Several examples are given to illustrate how these laws are applied. Methods for conducting bottleneck analysis using asymptotic bounds are also presented. All the derived results are summarized at the end of the chapter. Building on the operational analysis techniques presented in the previous chapter, Chapter 34 is concerned with Mean Value Analysis (MVA) and related techniques. Algorithms for analyzing open queueing networks are presented first. The MVA algorithm is developed next and used to solve a closed model of a timesharing system. An approximate MVA algorithm, which is computationally more efficient than MVA, is derived using Schweitzer's approximation. The timesharing system example is used again to compare the results of MVA and approximate MVA algorithms. This chapter concludes with a discussion of balanced job bounds as a means for analyzing balanced systems. Using the same timesharing system as an example, MVA and balanced

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Brief review: Probability, Statistics and Queueing Theory with Computer Science Applications, Second Edition by Arnold O. Allen (Academic Press 1990)

Reviewer-Finkel, David
ACM SIGMETRICS Performance Evaluation Review , Volume 19 (2)
Association for Computing Machinery – Sep 1, 1991

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