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題名 On two priority multi-server queues with impatient customers
作者 Li, Hung-Wei
貢獻者 應數系
日期 2016
上傳時間 9-Jan-2018 15:50:32 (UTC+8)
摘要 This study considers a system of multi-server queues with two classes of impatient customers: high-priority and low-priority. Customers join the system according to a Poisson process and customers may abandon service after entering the queue for an exponentially distributed duration with distinct rates. In this paper, we consider last come-first served (LCFS) and first come-first served (FCFS), and service time is assumed to be distributed exponentially among all customers. Deriving the Laplace transforms of the defined random variables and applying the matrix geometric method with direct truncation makes it possible to obtain an approximation of the stationary distribution in order to calculate the expected waiting time for both classes of customers. For each class of customer, we derive performance measures related to stationary probability distributions and conditional waiting times.
關聯 International Journal of Operations Research, 13(2), 58-76
資料類型 article
dc.contributor 應數系zh_TW
dc.creator (作者) Li, Hung-Weien_US
dc.date (日期) 2016
dc.date.accessioned 9-Jan-2018 15:50:32 (UTC+8)-
dc.date.available 9-Jan-2018 15:50:32 (UTC+8)-
dc.date.issued (上傳時間) 9-Jan-2018 15:50:32 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/115545-
dc.description.abstract (摘要) This study considers a system of multi-server queues with two classes of impatient customers: high-priority and low-priority. Customers join the system according to a Poisson process and customers may abandon service after entering the queue for an exponentially distributed duration with distinct rates. In this paper, we consider last come-first served (LCFS) and first come-first served (FCFS), and service time is assumed to be distributed exponentially among all customers. Deriving the Laplace transforms of the defined random variables and applying the matrix geometric method with direct truncation makes it possible to obtain an approximation of the stationary distribution in order to calculate the expected waiting time for both classes of customers. For each class of customer, we derive performance measures related to stationary probability distributions and conditional waiting times.en_US
dc.format.extent 5854267 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) International Journal of Operations Research, 13(2), 58-76en_US
dc.title (題名) On two priority multi-server queues with impatient customersen_US
dc.type (資料類型) article