Busy Periods of Poisson Arrival Queues with Loss |
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| Authors: | Kim Sunggon Bae Jongho Lee Eui Yong |
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| Institution: | (1) Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea;(2) Statistical Research Center for Complex Systems, Seoul National University, Seoul, 151-742, Republic of Korea;(3) Department of Statistics, Sookmyung Women's University, Seoul, 140-742, Republic of Korea |
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| Abstract: | We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods. |
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| Keywords: | M/G/1 queue impatient customer finite dam busy period |
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