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Probability, Stochastic Processes & Queueing Theory by Randolph Nelson SC
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Standort: Woburn, Massachusetts, USA
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eBay-Artikelnr.:396836973936
Artikelmerkmale
- Artikelzustand
- ISBN
- 9781441928467
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
1441928464
ISBN-13
9781441928467
eBay Product ID (ePID)
109303495
Product Key Features
Number of Pages
Xxviii, 584 Pages
Language
English
Publication Name
Probability, Stochastic Processes, and Queueing Theory : The Mathematics of Computer Performance Modeling
Subject
Engineering (General), Probability & Statistics / Stochastic Processes, Probability & Statistics / General, System Theory
Publication Year
2010
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Trade Paperback
Dimensions
Item Weight
81.5 Oz
Item Length
10 in
Item Width
7 in
Additional Product Features
Intended Audience
Scholarly & Professional
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1 Introduction.- I Probability.- 2 Randomness and Probability.- 3 Combinatorics.- 4 Random Variables and Distributions.- 5 Expectation and Fundamental Theorems.- II Stochastic Processes.- 6 The Poisson Process and Renewal Theory.- 7 The M/G/1 Queue.- 8 Markov Processes.- 9 Matrix Geometric Solutions.- 10 Queueing Networks.- 11 Epilogue and Special Topics.- A Types of Randomness.- A.1 Randomness: Physical Systems.- A.1.1 Intrinsic Probability.- A.2 Randomness: Deterministic Systems.- A.2.1 The Baker's Transformation.- A.2.2 Dynamical Systems.- A.3 Deterministic Randomness**.- A.3.1 Isomorphism Between Systems.- A.3.2 Random Newtonian Systems.- A.4 Summary of Appendix A.- A.5 Problems for Appendix A.- B Combinatorial Equalities and Inequalities.- B.1 Noninteger Combinatorial Expressions.- B.2 Binomial Formula.- B.3 Stirling's (de Moivre's) Formula.- B.4 Bounds on Factorial Expressions.- B.5 Noninteger Factorials**.- C Tables of Laplace Transforms and Generating Functions.- C.0.1 Laplace Transforms.- C.1 Generating Functions.- D Limits and Order Relationships.- D.1 Limits.- D.2 Order Relationships.- E List of Common Summations.- References.- Index of Notation.
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., 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.
LC Classification Number
QA273.A1-274.9
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