Variance of Departure Process in Two-Node Tandem Queue with Unreliable Servers and Blocking

Yang Woo Shin; Dug Hee Moon

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Paper

Variance of Departure Process in Two-Node Tandem Queue with Unreliable Servers and Blocking

Topics: Queuing Theory

In Proceedings of the 6th International Conference on Operations Research and Enterprise Systems ICORES - Volume 1, 258-264, 2017 , Porto, Portugal

Authors: Yang Woo Shin ¹ and Dug Hee Moon ²

Affiliations: ¹ Changwon National University, Korea, Republic of ; ² School of Industrial Engineering and Naval Architecture. Changwon National University, Korea, Republic of

Keyword(s): Variance, Departure Process, Tandem Queue, Finite Buffers, Blocking, Markovian Arrival Process.

Related Ontology Subjects/Areas/Topics: Methodologies and Technologies ; Operational Research ; Queuing Theory

Abstract: This paper provides an effective method for evaluating the second moments such as variance and covariance for the number of departures in two-node tandem queue with unreliable servers. The behavior of the system is described by a level dependent quasi-birth-and-death process and the output process is modeled by a Markovian arrival process. Algorithms for the transient behavior, the variance and covariance structure for the output process and the time to the nth departure are developed. We show that the results can be applied to derive approximate formulae for the due-date performance and the distribution of the number of outputs in a time interval.

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Paper citation in several formats:

Shin, Y. and Moon, D. (2017). Variance of Departure Process in Two-Node Tandem Queue with Unreliable Servers and Blocking. 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 258-264. DOI: 10.5220/0006119302580264

@conference{icores17,
author={Yang Woo Shin. and Dug Hee Moon.},
title={Variance of Departure Process in Two-Node Tandem Queue with Unreliable Servers and Blocking},
booktitle={Proceedings of the 6th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2017},
pages={258-264},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006119302580264},
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 - Variance of Departure Process in Two-Node Tandem Queue with Unreliable Servers and Blocking
SN - 978-989-758-218-9
IS - 2184-4372
AU - Shin, Y.
AU - Moon, D.
PY - 2017
SP - 258
EP - 264
DO - 10.5220/0006119302580264
PB - SciTePress