Translations of Mathematical Monographs 1994; 143 pp; hardcover Volume: 137 ISBN10: 0821845977 ISBN13: 9780821845974 List Price: US$70 Member Price: US$56 Order Code: MMONO/137
 This book analyzes several types of queueing 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 queueing 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 queueing theory and stochastic processes. Readership Researchers working in the theory and applications of queueing theory and stochastic processes. Reviews "The authors have done an excellent work to unify several approximation techniques. This is a high quality contribution to the scope, theory and methodology of multiphase queueing systems in terms of its lucid presentation, insights and directions. Researchers in this field will find this outstanding monograph. very useful."  Zentralblatt MATH Table of Contents  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 in Poissonian tandem queues
 Bibliographical notes
 Bibliograpy
