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Title: Analysis of discrete-time MAP/G/1 queue under workload control
Authors: Lee, Se Won
Lee, Ho Woo
Baek, Jung Woo
Keywords: DRNTU::Engineering::Aeronautical engineering
Issue Date: 2011
Source: Lee, S. W., Lee, H. W., & Baek, J. W. (2012). Analysis of discrete-time MAP/G/1 queue under workload control. Performance Evaluation, 69(2), 71-85.
Series/Report no.: Performance evaluation
Abstract: In this paper, we analyze the discrete-time MAP/G/1 queue under the DD-policy in which the idle server resumes its service only when the accumulated workload exceeds the predetermined threshold DD. We first derive the probability generating functions of the queue length, workload, waiting time, and sojourn time distributions. Then we derive the mean performance measures. Lastly we present our numerical experience. Through the numerical examples we show the effects of the threshold and the variability of the service times on the mean performance measures, and the effect of the correlation between arrivals.
ISSN: 0166-5316
DOI: 10.1016/j.peva.2011.11.001
Rights: © 2011 Elsevier B.V.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:MAE Journal Articles

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