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題 名 | A Controllable Bulk Service Queueing System under the Policy (K, N, M) |
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作 者 | Baburaj,C.; | 書刊名 | International Journal of Information and Management Sciences |
卷 期 | 11:1 2000.03[民89.03] |
頁 次 | 頁55-63 |
分類號 | 310.15 |
關鍵詞 | Controllable queue; Batch service; K,N,M policy; Transient distribution; Steady state distribution; |
語 文 | 英文(English) |
英文摘要 | In this paper we consider a two server bulk service queueing system under the policy (K, N, M). Here the number of servers can be adjusted depending on the number of units in the waiting line. Specifically, when the system size is less than or equal to N, then server-I serves them altogether in a batch. If the system size is more than N, then server-I serves N units in a batch and from the remaining server-II serves a maximum of (M - N) units in a batch according to FCFS rule and if after a service completion epoch server-II finds less than K, (K < N) units in the queue, then he stops service and there will be only one server available in the system. The arrival process is assumed to be Poisson and the service times of server-I and server-II are exponentially distributed with parameters μ₁ and μ₂ The transient and steady state behaviour of the model is studied. The waiting time distribution is also considered and obtained the expected waiting time in the queue. |
本系統中英文摘要資訊取自各篇刊載內容。