A Single Server Compulsory Vacation Queue with Two Type of Services and with Restricted Admissibility

俱兩種服務類型及隨機限制受理之單一強制休假排隊

R. Kalyanaraman ； V. Suvitha

《International Journal of Information and Management Sciences》 23:3 (2012/09) Pp. 287-304

https://doi.org/10.6186/IJIMS.2012.23.3.4

摘要

吾人考慮強制休假之單一排隊，其中顧客以白努力機率容許排隊，而服務分有兩種類型。本文中應用輔助變數法導出在不同狀態下之顧客數機率生成函數。計算了一些績效衡量，給了一些例題，並且也導出一些特殊情況下的結果。

關鍵字

強制服務休假 ； 白努力過程 ； 限制受理 ； 輔助變數法 ； 績效衡量

並列摘要

A single server queue with compulsory vacation has been considered. In addition admission to queue is based on a Bernoulli process and the server gives two types of services. For this model the probability generating functions of number of customers in the queue for different server states are obtained using supplementary variable technique. Some performance measures are calculated. Particular cases are deduced and some numerical examples are presented.

並列關鍵字

Compulsory server vacation ； Bernoulli process ； restricted admissibility ； supplementary variable technique ； performance measures

參考文獻

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Keilson, J.,Servi, L.(1986).Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules.Journal of Applied Probability.23,790-802.