A new approach to the busy period of the M/M/1 queue |
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Authors: | Kinateder Kimberly KJ Lee Eui Yong |
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Institution: | (1) Department of Mathematics and Statistics, 120 MM, Wright State University, Dayton, OH 45435, USA;(2) Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Republic of Korea |
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Abstract: | In this paper, we provide a new approach to the computation of the Laplace transform of the length of the busy period of the
M/M/1 queue with constrained workload (finite dam), without the use of complex analysis.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | queue constrained workload busy period martingales Laplace transform backward differential equation |
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