An Introduction to Queueing Theory Modeling and Analysis in Applications

There are several books on queueing theory available for students as well as - searchers. At the low end of mathematical sophistication, some provide usable f- mulas in a recipe fashion. At the high end there are research monographs on speci?c topics and books with an emphasis on theoretical analysis. In between there are a few textbooks with one common feature: all of them require an adequate background knowledge of probability and Markov processes that can be acquired normally with a semester-length graduate course. Consequently, most people who deal with the modeling and analysis of queueing systems either do not take a course on the subject because it would require an extra semester, or take a course on queueing systems without the necessary background and learn only how to use the results. This book is addressedtoremedythissituationbyprovidingaone-semesterfoundationalintrod- tion to the theory necessary for modeling and analysis of systems while developing the essential Markov process concepts and techniques using queueing processes as examples. Some of the key features of the book also distinguish it from others. Its introd- tory chapter includes a historical perspective on the growth of queueing theory in the last 100 years. With an emphasis on modeling and analysis it deals with topics such as identi?cation of models, collection of data, and tests for stationarity and indep- dence of observations. It provides a rigorous treatment of basic models commonly used in applications with references for advanced topics.