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A new look at the M/G/1 retrial queue: A martingale approach
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In this paper we provide a new approach which uses martingale method for studying the M/G/1 retrial queue. Using recursive equation for the process embedded at departure epochs, we construct a discrete-time martingale stopped at the first passage time when the system becomes empty. We derive the stability condition and study the busy period of this system.
Abstract
In this paper we provide a new approach which uses martingale method for studying the M/G/1 retrial queue. Using recursive equation for the process embedded at departure epochs, we construct a discrete-time martingale stopped at the first passage time when the system becomes empty. We derive the stability condition and study the busy period of this system.
참고문헌 (12)
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- Artalejo J. R, "Retrial Queueing Systems - A Computational Approach" (2008), Springer
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- Falin G. I, "A survey of retrial queues", Queueing Systems, 7, pp.127~168 (1990)[DOI]
- Falin G. I, "Retrial Queues" (1997), Chapman and Hall
- Kim, J., "A survey of retrial queueing systems", Annals of Operations Research, pp.1~34 (2015)
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- Rhoughan M, "Martingale methods for analysing single-server queues", Queueing Systems, 41, pp.205~239 (2002)[DOI]
- Shiryaev A.N, "Problems in Probability" (2012), Springer
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- Yang T, "A survey on retrial queues", Queueing Systems, 2, pp.201~288 (1987)[DOI]
관련 논문AI추천
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