Analysis of the equilibrium strategies in the GeoGeo1 queue with multiple working vacations. Issue 6 (2nd November 2018)

• Record Type: Journal Article
• Authors: Yang, Bixuan; Hou, Zhenting; Wu, Jinbiao
• Is Part Of: Quality technology & quantitative management. Volume 15:Issue 6(2018)
• Page Start: 663
• Page End: 685
• Publication Date: 2018-11-02
• Subjects: GeoGeo1 queue -- multiple working vacations -- equilibrium balking strategies -- socially optimal strategies; 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: 10.1080/16843703.2017.1335488
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract : In this paper, we deal with the customers' equilibrium strategies in a Geo / Geo / 1 queuing system with multiple working vacations. The arriving customers decide whether to join or balk the queuing system depended on the information of the server's states and the queue length. Based on the reward-cost structure, we obtain the equilibrium balking strategies and socially optimal strategies in three cases of the fully observable queue, the partially observable queue and the unobservable queue. In addition, we provide some numerical experiments to illustrate the influence of the information level on the equilibrium behavior and to compare the customers' equilibrium and socially optimal strategies.