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Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations
Joint Authors
Source
Advances in Operations Research
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Information Technology and Computer Science
Abstract EN
We consider a PH/M/c queue with multiple working vacations where the customers waiting in queue for service are impatient.
The working vacation policy is the one in which the servers serve at a lower rate during the vacation period rather than completely ceasing the service.
Customer’s impatience is due to its arrival during the period where all the servers are in working vacations and the arriving customer has to join the queue.
We formulate the system as a nonhomogeneous quasi-birth-death process and use finite truncation method to find the stationary probability vector.
Various performance measures like the average number of busy servers in the system during a vacation as well as during a nonvacation period, server availability, blocking probability, and average number of lost customers are given.
Numerical examples are provided to illustrate the effects of various parameters and interarrival distributions on system performance.
American Psychological Association (APA)
Goswami, Cosmika& Selvaraju, N.. 2016. Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations. Advances in Operations Research،Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1096530
Modern Language Association (MLA)
Goswami, Cosmika& Selvaraju, N.. Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations. Advances in Operations Research No. 2016 (2016), pp.1-17.
https://search.emarefa.net/detail/BIM-1096530
American Medical Association (AMA)
Goswami, Cosmika& Selvaraju, N.. Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations. Advances in Operations Research. 2016. Vol. 2016, no. 2016, pp.1-17.
https://search.emarefa.net/detail/BIM-1096530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1096530