Two-class M/G/1 queue under workload control

In this paper, we consider a queueing system under the D-policy in which there are two classes of customers. Class-1 customers have a non-preemptive priority over class-2 customers. The idle server begins to serve the customers only when the total workload of the waiting customers (regardless of the...

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Main Authors: Lee, Ho Woo, Kim, Sang-Ahn, Baek, Jung Woo, Lee, Se Won
其他作者: School of Mechanical and Aerospace Engineering
格式: Article
語言:English
出版: 2013
在線閱讀:https://hdl.handle.net/10356/97101
http://hdl.handle.net/10220/10391
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總結:In this paper, we consider a queueing system under the D-policy in which there are two classes of customers. Class-1 customers have a non-preemptive priority over class-2 customers. The idle server begins to serve the customers only when the total workload of the waiting customers (regardless of their classes) exceeds D. We derive the Laplace-Stieltjes transform of the waiting time of each class of customers. We then derive the mean waiting times. Lastly, we compare our analytical results with the simulation estimates for verification purposes.