Retrial Queueing Models: A Survey on Theory and Applications

Tuan Phung-Duc

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

Abstract

Retrial phenomenon naturally arises in various systems such as call centers, cellular networks and random access protocols in local area networks. This paper gives a comprehensive survey on theory and applications of retrial queues in these systems. We investigate the state of the art of the theoretical researches including exact solutions, stability, asymptotic analyses and multidimensional models. We present an overview on retrial models arising from real world applications. Some open problems and promising research directions are also discussed.

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References

1999Introduction to Matrix Analytic Methods in Stochastic Modeling 2003Telephone Call Centers: Tutorial, Review, and Research Prospects 1997Retrial Queues 1990A survey of retrial queues 2008Retrial Queueing Systems: A Computational Approach 2002Queueing Models of Call Centers: An Introduction 1999A classified bibliography of research on retrial queues: Progress in 1990–1999 1989A survey on retrial queues

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