# Network of M/M/1 Cyclic Polling Systems

### Carlos Martínez-Rodríguez, Raúl Montes-de-Oca, Patricia Saavedra

#### Abstract

This paper presents a Network of Cyclic Polling Systems that consists of two cyclic polling systems with two queues each when transfer of users from one system to the other is imposed. This system is modelled in discrete time. It is assumed that each system has exponential inter-arrival times and the servers apply an exhaustive policy. Closed form expressions are obtained for the first and second moments of the queue's lengths for any time.

#### References

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#### Paper Citation

#### in Harvard Style

Martínez-Rodríguez C., Montes-de-Oca R. and Saavedra P. (2017). **Network of M/M/1 Cyclic Polling Systems** . In *Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-218-9, pages 298-305. DOI: 10.5220/0006143802980305

#### in Bibtex Style

@conference{icores17,

author={Carlos Martínez-Rodríguez and Raúl Montes-de-Oca and Patricia Saavedra},

title={Network of M/M/1 Cyclic Polling Systems},

booktitle={Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2017},

pages={298-305},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006143802980305},

isbn={978-989-758-218-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Network of M/M/1 Cyclic Polling Systems

SN - 978-989-758-218-9

AU - Martínez-Rodríguez C.

AU - Montes-de-Oca R.

AU - Saavedra P.

PY - 2017

SP - 298

EP - 305

DO - 10.5220/0006143802980305