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Field name	Details
Dewey Class	004
Title	Introduction to Queuing Theory ([EBook]) / by B. V. Gnedenko, I. N. Kovalenko.
Author	Gnedenko,Boris Vladimirovich , 1912-1995.
Added Personal Name	Kovalenko, I. N.(Igor Nikolaevich) author.
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition.
Publication	Boston, MA : Birkhäuser , 1989.
Physical Details	XI, 315 pages : online resource.
Series	Mathematical modeling ; 5
ISBN	9781461598268
Contents note	Preface to 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4615-9826-8
Links to Related Works	Subject References: Algorithms . Computational Mathematics and Numerical Analysis . Computational Science and Engineering . Computer mathematics . Data Structures . Data structures (Computer science) . Queuing theory . Authors: author . Gnedenko, Boris Vladimirovich , 1912-1995 . Gnedenko, Boris Vladimirovich, 1912-1995 . See Also: Гнеденко, Борис Владимирович . Corporate Authors: SpringerLink (Online service) . Series: Mathematical modeling . Classification: 004 .

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Introduction to Queuing Theory

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