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Authors: Yoshito Machida 1 and Tuan Phung-Duc 2

Affiliations: 1 Graduate School of Science and Technology, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan ; 2 Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

Keyword(s): Queueing Model, GI/M/1-type Markov Chain, Gas Station, Performance.

Abstract: Nowadays, cars are essential to life, and most cars used in society need refueling. In gas stations, an odd phenomenon often occurs where the server (refueling lane) is available, but the service is not available, and this is due to the mismatch between the type of the customer (car) and the type of the server. In this paper, we model some types of the system of gas stations as queueing models and analyze them. In addition, we derive performance measures and compare these types of systems. Some counter-intuitive results emerge in this study.

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Paper citation in several formats:
Machida, Y. and Phung-Duc, T. (2022). A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations. In Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-548-7; ISSN 2184-4372, SciTePress, pages 145-152. DOI: 10.5220/0010816100003117

@conference{icores22,
author={Yoshito Machida. and Tuan Phung{-}Duc.},
title={A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations},
booktitle={Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2022},
pages={145-152},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010816100003117},
isbn={978-989-758-548-7},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - ICORES
TI - A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations
SN - 978-989-758-548-7
IS - 2184-4372
AU - Machida, Y.
AU - Phung-Duc, T.
PY - 2022
SP - 145
EP - 152
DO - 10.5220/0010816100003117
PB - SciTePress

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