A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations

Yoshito Machida, Tuan Phung-Duc

2022

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.

Paper Citation

in Harvard Style

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 - Volume 1: ICORES, ISBN 978-989-758-548-7, pages 145-152. DOI: 10.5220/0010816100003117

in Bibtex Style

@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 - Volume 1: ICORES,},
year={2022},
pages={145-152},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010816100003117},
isbn={978-989-758-548-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - A Queueing Analysis of Multi-type Servers and Multi-type Customers System based on Gas Stations
SN - 978-989-758-548-7
AU - Machida Y.
AU - Phung-Duc T.
PY - 2022
SP - 145
EP - 152
DO - 10.5220/0010816100003117