Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling

✍ Scribed by Randolph Nelson (auth.)

• Publisher: Springer-Verlag New York
• Year: 1995
• Tongue: English
• Leaves: 595
• Edition: 1
• Category: Library

✦ Synopsis

We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per­ sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.

✦ Table of Contents

Front Matter....Pages i-xxviii
Introduction....Pages 1-14
Front Matter....Pages 15-15
Randomness and Probability....Pages 17-44
Combinatorics....Pages 45-99
Random Variables and Distributions....Pages 101-165
Expectation and Fundamental Theorems....Pages 167-231
Front Matter....Pages 233-233
The Poisson Process and Renewal Theory....Pages 235-282
The M/G/1 Queue....Pages 283-327
Markov Processes....Pages 329-389
Matrix Geometric Solutions....Pages 391-428
Queueing Networks....Pages 429-501
Epilogue and Special Topics....Pages 503-512
Back Matter....Pages 513-583

✦ Subjects

Probability Theory and Stochastic Processes;Statistics, general;Complexity;System Performance and Evaluation