An M/G/1 retrial queue with balking customers and Bernoulli working vacation interruption. Issue 5 (3rd September 2019)

• Record Type: Journal Article
• Authors: Li, Tao; Zhang, Liyuan; Gao, Shan
• Is Part Of: Quality technology & quantitative management. Volume 16:Issue 5(2019)
• Page Start: 511
• Page End: 530
• Publication Date: 2019-09-03
• Subjects: Retrial -- working vacation -- Bernoulli vacation interruption -- balking; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2018.1480264
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract : In this paper, an M/G/1 retrial queue with general retrial times and Bernoulli working vacation interruption is considered. If the server is busy, an arriving customer either enters an orbit with probability q ( 0 < q ≤ 1 ) or balks (does not enter) with probability 1 - q . During a working vacation period, if there are customers in the system at a service completion instant, the vacation either is interrupted with probability p ( 0 ≤ p ≤ 1 ) or continues with probability 1 - p . By applying the supplementary variable technique, we obtain the steady state joint distribution of the server and the number of customers in the orbit. Various interesting performance measures are also derived. Finally, some numerical examples and cost optimization analysis are presented.