Vacation Queueing Models Theory and Applications [Hardcover]

This book discusses systematically the many variations of vacation policy. The book discusses a variety of typical vacation model applications. The presentation style is unique compared with the books published in the same field  a theorem and proof format is used. Also, this is the first time G1/M/1 multi-server vacation models, both continuous and discrete, and the optimization and control issues have been presented in book form.

A classical queueing model consists of three parts - arrival process, service process, and queue discipline. However, a vacation queueing model has an additional part - the vacation process which is governed by a vacation policy - and a vacation policy can be characterized by three aspects: 1) vacation start-up rule; 2) vacation termination rule, and 3) vacation duration distribution. Hence, vacation queueing models are an extension of classical queueing theory.

Vacation Queueing Models: Theory and Applications discusses systematically and in detail the many variations of vacation policy. These discussions include: General Service Single Server Vacation Models (Exhaustive and Non-Exhaustive Service Type), General Input Single Server Vacation Models, Markovian Multi-Server Vacation Models, General Input Multi-Server Vacation Models, Optimization in Vacation Models, and Applications of Vacation Models.

By allowing servers to take vacations makes the queueing models more realistic and flexible in studying real-world waiting line systems. Integrated in the book's discussion are a variety of typical vacation model applications. These applications include call centers with multi-task employees, customized manufacturing, telecommunication networks, maintenance activities, etc. Finally, contents are present in a theorem and proof format and it is inval“8