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Field name	Details
Dewey Class	519.2
Title	Mathematical Methods in Queuing Theory ([EBook]) / by Vladimir V. Kalashnikov.
Author	Kalashnikov, Vladimir Vi͡acheslavovich
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1994.
Physical Details	X, 382 pages : online resource.
Series	Mathematics and its applications ; 271
ISBN	9789401721974
Summary Note	The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.:
Contents note	1. Queueing Theory -- 2. Necessary Facts from Probability Theory and the Theory of Analytic Functions -- 3. Random Flows -- 4. Elementary Methods in Queueing Theory -- 5. Markov Chains -- 6. Renewal Processes -- 7. Regenerative Processes -- 8. Discrete Time Markov Queueing Models -- 9. Markov Queueing Models -- 10. Method of Supplementary Variables -- 11. First-Occurrence Events -- References -- List of Notations and Abbreviations.
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/10.1007/978-94-017-2197-4
Links to Related Works	Subject References: Decision making . Operations research . Probabilities . Queuing theory . System theory . Systems Theory, Control . Authors: Kalashnikov, Vladimir Vi͡acheslavovich . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 519.2 .

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Mathematical Methods in Queuing Theory

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