Analysis of General Input State Dependent Working Vacation Queue with Changeover Time. (23rd April 2014)

• Record Type: Journal Article
• Authors: Pikkala, Vijaya Laxmi; Vepada, Suchitra
• Other Names: Ciobanu G. Academic Editor.; Lima F. W. S. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2014(2014)
• Publication Date: 2014-04-23
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.1155/2014/248704
• Languages: English
• ISSNs: 2090-7842

Abstract

Abstract : We consider a finite bufferG I / M ( n ) / 1 queue with multiple working vacations and changeover time, where the server can keep on working but at a slower speed during the vacation period. Moreover, the amount of service demanded by a customer is conditioned by the queue length at the moment service is begun for that customer. We provide a recursive algorithm using the supplementary variable technique to numerically compute the stationary queue length distribution of the system. Finally, some numerical results of the model are presented to show the parameter effect on various performance measures.