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“Applied Probability in comunications

Starting with a congestion problem in teletraffic the range of applications has grown to include not only telecommunications and computer science, but also manufacturing, air traffic control, military logistics, design of theme parks, call centers, supermarkets, inventories, dams, hospitals, and many other areas that involve service systems whose demands are random. Queueing theory is considered to be one of the standard methodologies (together with linear programming, simulation, etc.) of operations research and management science, and is standard fare in academic programs in industrial engineering, manufacturing engineering, etc., as well as in programs in telecommunications, computer engineering, and computer science. There are dozens of books and thousands of papers on queueing theory, and they continue to be published at an ever-increasing rate. Searching the Google for “Queueing Theory” I have found 1880 hits. This tremendous push for new results forced more and more academic journals to publish articles in queueing and even open new sections. In 1986, Baltzer Verlag, AG launched a new academic journal entitled Queueing Systems (edited by N.U. Prabhu), which is devoted entirely to queueing. Many other journals, in the field of probability, operational research, telecommunication, industrial engineering, computer science, management science publish articles on queueing extensively. The flow of new theories and methodologies in queueing has become very hard to keep up with. Surveys on the hottest topics in queueing and related areas are scattered over a large variety of scientific magazines. A sort of manual would be desirable, indicating where to find the hottest topics and where to concentrate one’s efforts should queueing become one’s interest. A careful elaboration of major themes would take many years of work after which the results would then be outdated