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Authors: Carlos Martínez-Rodríguez 1 ; Raúl Montes-de-Oca 2 and Patricia Saavedra 2

Affiliations: 1 Universidad Autónoma de la Ciudad de México, Mexico ; 2 Universidad Autónoma Metropolitana-Iztapalapa, Mexico

Keyword(s): Networks of Cyclic Polling System, Exhaustive Policy, Exponential Inter-arrivals Times.

Related Ontology Subjects/Areas/Topics: Applications ; e-Business ; Enterprise Information Systems ; Logistics ; Mathematical Modeling ; Methodologies and Technologies ; Operational Research ; OR in Telecommunications ; OR in Transportation ; Pattern Recognition ; Queuing Theory ; Routing ; Software Engineering ; Stochastic Processes

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.

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Paper citation in several formats:
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 - ICORES; ISBN 978-989-758-218-9; ISSN 2184-4372, SciTePress, pages 298-305. DOI: 10.5220/0006143802980305

@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 - ICORES},
year={2017},
pages={298-305},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006143802980305},
isbn={978-989-758-218-9},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - ICORES
TI - Network of M/M/1 Cyclic Polling Systems
SN - 978-989-758-218-9
IS - 2184-4372
AU - Martínez-Rodríguez, C.
AU - Montes-de-Oca, R.
AU - Saavedra, P.
PY - 2017
SP - 298
EP - 305
DO - 10.5220/0006143802980305
PB - SciTePress