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The waiting time distribution for a correlated queue with exponential interarrival and service times
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 3월-2018
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Correlated queue; Bivariate exponential distribution; Workload
- Citation
- OPERATIONS RESEARCH LETTERS, v.46, no.2, pp.268 - 271
- Indexed
- SCIE
SCOPUS
- Journal Title
- OPERATIONS RESEARCH LETTERS
- Volume
- 46
- Number
- 2
- Start Page
- 268
- End Page
- 271
- ISSN
- 0167-6377
- Abstract
- We are concerned with the analysis of the waiting time distribution in an M/M/1 queue in which the interarrival time between the nth and the (n + 1)th customers and the service time of the nth 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. (C) 2018 Elsevier B.V. All rights reserved.
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