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Mathematical Modeling Ser.: Introduction to Queueing Theory by I. N. Kovalenko and Boris V. Gnedenko (1989, Trade Paperback)
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About this product
Product Identifiers
PublisherBirkhäuser Boston
ISBN-100817634231
ISBN-139780817634230
eBay Product ID (ePID)294803
Product Key Features
Number of PagesXi, 315 Pages
Publication NameIntroduction to Queueing Theory
LanguageEnglish
Publication Year1989
SubjectProbability & Statistics / Stochastic Processes, Numerical Analysis, Computer Science, Applied
TypeTextbook
Subject AreaMathematics, Computers
AuthorI. N. Kovalenko, Boris V. Gnedenko
SeriesMathematical Modeling Ser.
FormatTrade Paperback
Dimensions
Item Weight21.7 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number2
Intended AudienceScholarly & Professional
LCCN89-007306
Dewey Edition20
Series Volume Number5
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal519.8/2
Table Of Contentto the Second Edition.- to the First Edition.- 1. Problems of Queueing Theory under the Simplest Assumptions.- 1.1. Simple Streams.- 1.2. Service with Waiting.- 1.3. Birth and Death Processes.- 1.4. Applications of Birth and Death Processes in Queueing Theory.- 1.5. Priority Service.- 1.6. General Principles of Constructing Markov Models of Systems.- 1.7. Systems with Limited Waiting Time.- 1.8. Systems with Bounded Holding Times.- 2. The Study of the Incoming Customer Stream.- 2.1. Some Examples.- 2.2. A Simple Nonstationary Stream.- 2.3. A Property of Stationary Streams.- 2.4. General Form of Stationary Streams without Aftereffects.- 2.5. The Palm-Khinchin Functions.- 2.6. Characteristics of Stationary Streams and the Lebesgue Integral.- 2.7. Basic Renewal Theory.- 2.8. Limit Theorems for Compound Streams.- 2.9. Direct Probabilistic Methods.- 2.10. Limit Theorem for Thinning Streams.- 2.11. Additional Limit Theorems for Thinning Streams.- 3. Some Classes of Stochastic Processes.- 3.1. Kendall's Method: Semi-Markov Processes.- 3.2. Linear-Type Markov Processes.- 3.3. Piecewise-Linear Markov Processes.- 3.4. Other Important Classes of Random Processes.- 4. Semi-Markov Models of Queueing Systems.- 4.1. Classification of Queueing Systems.- 4.2. M?G?1 System.- 4.3. Nonstationary Characteristics of an M G 1 System.- 4.4. A System of the GI?M?m Type.- 4.5. M G 1 System with an Unreliable and "Renewable" Server.- 4.6. Mixed Service Systems.- 4.7. Systems with Restrictions.- 4.8. Priority Service.- 4.9. The Generalized Scheme of Priority Service with a Limited Queue.- 5. Application of More General Methods.- 5.1. The GI?G?1 System.- 5.2. GI?G?m Systems.- 5.3. The M?G?m?0 System.- 5.4. More Complex Systems with Losses.- 5.5. Ergodic Theorems.- 5.6.Heavily Loaded Queueing Systems.- 5.7. Underloaded Queueing Systems.- 5.8. Little's Theory and its Corollaries.- 6. Statistical Simulation of Systems.- 6.1. Principles of the Monte Carlo Method.- 6.2. Simulation of Some Classes of Random Processes.- 6.3. Statistical Problems Associated with Simulation.- 6.4. Simulation of Queueing Systems.- 6.5. Calculation of Corrections to Characteristics of Systems.
Edition DescriptionSupplement
LC Classification NumberQA71-90
