Heavy traffic limits for multiphase queues
著者
書誌事項
Heavy traffic limits for multiphase queues
(Translations of mathematical monographs, v. 137)
American Mathematical Society, c1994
- タイトル別名
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Многофазовые системы массового обслуживания в режиме большой нагрузки
Mnogofazovye sistemy massovogo obsluzhivanii︠a︡ v rezhime bolʹshoĭ nagruzki
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book analyzes several types of queuing systems arising in network theory and communication theory. Karpelevich and Kreinin use numerous methods and results from the theory of stochastic processes. The main emphasis is on problems of diffusion approximation of stochastic processes in queuing systems and on results based on applications of the hydrodynamic limit method. The book will be useful to researchers working in the theory and applications of queuing theory and stochastic processes.
目次
Introduction Processes with reflection Multiphase systems Limit theorems for queue length and departure times processes Appendix I. Weak convergence in function spaces Appendix II. Weak convergence of functionals of stochastic processes Appendix III. Auxiliary results Appendix IV. Tandem queues in heavy traffic Appendix V. Joint distributions on Pissonian tandem queues Bibliographical notes Bibliography.
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