The waiting time distribution for a correlated queue with exponential interarrival and service times |
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Authors: | Bara Kim Jeongsim Kim |
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Affiliation: | 1. Department of Mathematics, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul, 02841, South Korea;2. Department of Mathematics Education, Chungbuk National University, 1 Chungdae-ro, Seowon-gu, Cheongju, Chungbuk 28644, South Korea |
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Abstract: | We are concerned with the analysis of the waiting time distribution in an queue in which the interarrival time between the th and the th customers and the service time of the th customer are correlated random variables with Downton’s bivariate exponential distribution. In this paper we show that the conditional waiting time distribution, given that the waiting time is positive, is exponential. |
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Keywords: | Correlated queue Bivariate exponential distribution Workload |
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