Queueing Systems with Moving Servers: Theory, Methods, and Applications

Queuing theory methods are employed in managing traffic flows, shipping facilities, communication systems, vertical transportation, and others. The study of such systems is outside the framework of the methods of classical queuing theory; thus, new methodologies, such as systems with moving servers, have evolved. These systems are different and have complicated structures, but they have one common ideology, i.e. systems with moving servers. The book is dedicated to constructing and investigating mathematical models of queueing systems with moving servers.

It is meant for researchers who are working in the application of mathematical methods in various fields (traffic, communication systems, and others), mathematicians in the field of queueing systems, also researchers who are interested in the construction and investigation of mathematical models of queueing systems with moving servers. The theoretical results are demonstrated on numerical examples.

Yu. K. Belyaev was a Professor Emeritus of Statistics at Umea University. He obtained a PhD from Steklov Mathematical Institute and a DSc from the Institute of Applied Mathematics, Academy of Sciences, USSR (supervisor A.N. Kolmogorov). He was deputy Chair of the Interfaculty Laboratory of Statistical Methods at Lomonosov Moscow State University, founded and led by A.N. Kolmogorov, and received the Nordbankens vetenskapliga and the USSR State Prize. His research focuses on stochastic processes, queueing theory, and mathematical statistics. He was a plenary speaker at various conferences; is a member of the editorial board of the journals Mathematical Methods of Statistics (USA) and Statistics (England); and an elected Member of the International Statistical Institute, the Institute of Mathematical Statistics, and the Swedish Statistical Society.

A.H. Hajiyev is an academician of the Azerbaijan National Academy of Sciences. He obtained a PhD from Lomonosov Moscow State University and a DSc from Bauman Moscow State Technical University. He was awarded the Lenin Komsomol Prize in Science and Engineering and the Honorary Medal of the President of the Bulgarian Academy of Sciences; is a foreign member of the Moldova Academy of Sciences, a foreign member of the Georgian National Academy of Sciences and a foreign member of the Mongolian National Academy of Sciences. He is Honorary Professor, Chengdu University, China; a fellow of The World Academy of Sciences; an elected Member of the International Statistical Institute and an invited speaker at various conferences. He is a member of the Editorial Board of the international journals Applied and Computational Mathematics and Management Science and Engineering Management and co-editor of 16 books published by reputed publishers.