Vacation Queueing Models Theory and Applications [electronic resource] / by Naishuo Tian, Zhe George Zhang.

By: Tian, Naishuo [author.]
Contributor(s): Zhang, Zhe George [author.] | SpringerLink (Online service)
Material type: TextTextSeries: International Series in Operations Research & Management Science: 93Publisher: Boston, MA : Springer US, 2006Description: XII, 386 p. 8 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780387337234Subject(s): Mathematics | Production management | Operations research | Decision making | Computer organization | Computer science -- Mathematics | Mathematical models | Probabilities | Mathematics | Probability Theory and Stochastic Processes | Operation Research/Decision Theory | Mathematical Modeling and Industrial Mathematics | Mathematics of Computing | Computer Systems Organization and Communication Networks | Operations ManagementAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
Contents:
M/G/1 Type Vacation Models: Exhaustive Service -- M/G/1 Type Vacation Models: Nonexhaustive Service -- General-Input Single Server Vacation Models -- Markovian Multiserver Vacation Models -- General-Input Multiserver Vacation Models -- Optimization in Vacation Models -- Applications of Vacation Models -- References.
In: Springer eBooksSummary: 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 - that 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. 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 that include call centers with multi-task employees, customized manufacturing, telecommunication networks, maintenance activities, etc. Finally, contents are presented in a "theorem and proof" format and it is invaluable reading for operations researchers, applied mathematicians, statisticians; industrial, computer, electrical and electronics, and communication engineers; computer, management scientists; and graduate students in the above disciplines.
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M/G/1 Type Vacation Models: Exhaustive Service -- M/G/1 Type Vacation Models: Nonexhaustive Service -- General-Input Single Server Vacation Models -- Markovian Multiserver Vacation Models -- General-Input Multiserver Vacation Models -- Optimization in Vacation Models -- Applications of Vacation Models -- References.

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 - that 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. 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 that include call centers with multi-task employees, customized manufacturing, telecommunication networks, maintenance activities, etc. Finally, contents are presented in a "theorem and proof" format and it is invaluable reading for operations researchers, applied mathematicians, statisticians; industrial, computer, electrical and electronics, and communication engineers; computer, management scientists; and graduate students in the above disciplines.

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