Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 39, Issue 1-2, Pages 221-234Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-011-0532-x
Keywords
Single working vacation; Method of supplementary variable; M/G/1-type matrix
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Funding
- Anhui Provincial Natural Science Foundation [10040606Q47]
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In this paper, an M/G/1 queue with single working vacation is analyzed. Using the method of supplementary variable and the matrix-analytic method, we obtain the queue length distribution and service status at the arbitrary epoch under steady state conditions. Further, we derive expected busy period and expected busy cycle. Finally, server special cases are presented.
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