Retrial Queueing Models: A Survey on Theory and Applications

TL;DR

This paper provides a comprehensive survey of retrial queueing models, covering theoretical foundations, real-world applications, and future research directions in systems like call centers and networks.

Contribution

It offers an extensive overview of the current state of retrial queueing theory and its practical applications, highlighting open problems and future research avenues.

Findings

Summary of exact solutions and stability analyses

Overview of applications in communication systems

Discussion of open problems and research directions

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.