2014/04/27 by Bixuan Yang, Yang Bixuan, Bixuan, Yang +7
Business, Management and Accounting · Decision Sciences · Health Professions · Mathematics · #60K25 #Advanced Queuing Theory Analysis #FOS: Mathematics #Healthcare Operations and Scheduling Optimization #Probability (math.PR) #Probability and Risk Models #math.PR #msc:60K25
paper · pdf · doi:10.48550/arxiv.1404.6758
25 pages, 12 figures
arxiv created 2014/04/27 · openalex publication_date 2014/04/27 · arxiv updated 2014/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This paper studies the equilibrium behavior of customers in the Geo/Geo/1 queueing system with multiple working vacations. The arriving customers decide whether to join or to balk the queueing systems based on the information of the queue length and the states of the server. In observable queues, partially observable queues and unobservable queues three cases we obtain the equilibrium balking strategies based on the reward-cost structure and socially optimal strategies for all customers. Furthermore, we present some numerical experiments to illustrate the effect of the information level on the equilibrium behavior and to compare the customers' equilibrium and socially optimal strategies.