Analysis of a batch arrival queue with vacation policy and exceptional service. Issue 12 (17th June 2016)

• Record Type: Journal Article
• Authors: Ke, Jau-Chuan; Yang, Dong-Yuh
• Is Part Of: Communications in statistics. Volume 45:Issue 12(2016)
• Page Start: 3637
• Page End: 3657
• Publication Date: 2016-06-17
• Subjects: Exceptional service -- Markov chain -- Multiple vacations -- Single vacation -- Stochastic decomposition.; 90B22; 60K25; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2013.878356
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We consider the distributions of operating characteristics of an M [x] /G/1 queue under vacation policies, where the first customer of each busy period receives an exceptional service. When all the customers are served in the system exhaustively, the server deactivates and operates one of two vacation policies: (1) multiple vacation policy and (2) single vacation policy. We develop the performance measures for both systems. Finally, some numerical illustrations are also given. These two vacation models have potential applications in day-to-day life, such as post offices, banks, hospitals, etc.