Dover Books on Engineering

Stochastic Message Flow and Delay

By: Leonard Kleinrock

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Paperback | 5 June 2007

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209 Pages

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21.6 x 14.6 x 1.2

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Considerable research has been devoted to the formulation and solution of problems involving flow within connected networks. Independent of these surveys, an extensive body of knowledge has accumulated on the subject of queues, particularly in regard to stochastic flow through single-node servicing facilities. This text combines studies of connected networks with those of stochastic flow, providing a basis for understanding the general behavior and operation of communication networks in realistic situations.
Author Leonard Kleinrock of the Computer Science Department at UCLA created the basic principle of packet switching, the technology underpinning the Internet. In this text, he develops a queuing theory model of communications nets. Its networks are channel-capacity limited; consequently, the measure of performance is taken to be the average delay encountered by a message in passing through the net. Topics include questions pertaining to optimal channel capacity assignment, effect of priority and other queue disciplines, choice of routine procedure, fixed-cost restraint, and design of topological structures. Many separate facets are brought into focus in the concluding discussion of the simulation of communication nets, and six appendices offer valuable supplementary information.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Stochastics Engineering & Technology Electronics & Communications Engineering Communications Engineering & Telecommunications Probability & Statistics Technology in General Engineering in General

Preface	p. v
Preface to the 2007 Dover Edition	p. vii
Introduction	p. 1
Systems of Flow: Examples	p. 1
A Closer Look	p. 4
The Emphasis	p. 9
Elementary Concepts	p. 10
An Existing Store-and-Forward Communication Net	p. 12
The Model: Assumptions	p. 14
Notation and Further Definitions	p. 16
The Precise Problem Statement	p. 17
Summary of results	p. 19
Analytic Results	p. 19
Experimental Results	p. 26
The problems of an exact mathematical solution to the general communication net	p. 35
Discussion of the General Problem	p. 35
The Tandem Net	p. 40
The Two-node Tandem Net	p. 45
The Independence Assumption	p. 49
The Effect of the Independence Assumption	p. 50
Summary	p. 56
Some new results for multiple-channel systems	p. 57
A Canonical Representation for the Utilization Factor	p. 58
Optimum Number of Channels for a Single-node Facihty	p. 59
Trading Relations among Rate, Capacity, and Message Delay	p. 61
Optimum Assignment of Channel Capacity	p. 63
Conclusions and Extensions	p. 67
Waiting times for certain queue disciplines	p. 71
Priority Queueing	p. 72
A Conservation Law	p. 81
Time-shared Service	p. 84
Conclusions and Extensions	p. 91
Random routing procedures	p. 95
Markov Model: Circulant Transition Matrices	p. 96
The Average Path Length	p. 98
Examples of Nets Included by the Model	p. 100
The K-connected Communication Network	p. 102
Conclusions	p. 104
Simulation of communication nets	p. 107
Specific Network Descriptions	p. 108
Simulation Results	p. 117
Additional Theorems on Alternate Routing Procedures	p. 125
Conclusions	p. 127
Conclusion	p. 129
Summary	p. 129
Suggestions for Further Investigation	p. 130
Appendixes
A Review of Simple Queueing Systems	p. 133
Theorems and Proofs for Chapter 4	p. 141
Theorems and Proofs for Chapter 5	p. 149
Theorems and Proofs for Chapter 6	p. 175
An Operational Description of the Sinmlation Program	p. 189
Alternate Routing Theorems and Their Proofs	p. 195
Bibliography	p. 301
Index	p. 206
Table of Contents provided by Ingram. All Rights Reserved.

Dover Books on Engineering

Stochastic Message Flow and Delay

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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