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- W2969832299 abstract "We consider a single-server retrial queue with batch service where potential customers arrive according to a Poisson process. The service is divided into two periods: busy period and admission period, and they are corresponding to whether the server is in service or not respectively. These two periods constitute an alternate renewal process. When arrivals find busy period, they make join-or-balk decisions and the joining ones will stay at the orbit and try to get into server at constant rate; when arrivals find admission period, they get into the server directly. At the end of each admission period, all customers in the server will be served together regardless of the size of the batch. Therefore, we give the assumption of service reward that vary with the service size. Furthermore, customers in the orbit fail to get into the server before the end of each service cycle were forced to leave the system. We identify the (Nash) equilibrium joining strategies and the social- and profit- maximization problems of arrivals by assuming that they are informed about the service period upon arrivals. Finally, the optimal joining strategies are showed by numerical examples." @default.
- W2969832299 created "2019-08-29" @default.
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- W2969832299 date "2019-01-01" @default.
- W2969832299 modified "2023-09-25" @default.
- W2969832299 title "Strategic Joining in a Single-Server Retrial Queue with Batch Service" @default.
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- W2969832299 doi "https://doi.org/10.1007/978-3-030-27181-7_12" @default.
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