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A new approach to the busy period of the M/M/1 queue
Authors:Kinateder  Kimberly KJ  Lee  Eui Yong
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
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.
Keywords:queue  constrained workload  busy period  martingales  Laplace transform  backward differential equation
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