Equilibrium Analysis and Social Optimization of a Selectable Single or Time-Based Batch Service

Ayane Nakamura, Tuan Phung-Duc

2024

Abstract

In current transportation systems, a common road is shared by multiple types of vehicles with different capacities. To consider this phenomenon, we propose a model in which customers can strategically select a single or batch service, and then receive a common service in a single-server queue with exponential service times. Customers potentially arrive at the system according to a Poisson process and choose whether to join the queue directly or wait for a batch service. The batch service commences periodically according to a Poisson process and the capacity of the batch is determined by a geometric distribution. The optimization of such a model has not been studied despite being an important social issue. We derive the unique equilibrium strategy of customers, socially optimal strategy, and socially optimal relationship of fees for both services. Furthermore, we demonstrate that these optimal fees exhibit linear relationships. In terms of practical application, this system will allow us to consider the effects of road congestion on transportation platforms.

Paper Citation

in Harvard Style

Nakamura A. and Phung-Duc T. (2024). Equilibrium Analysis and Social Optimization of a Selectable Single or Time-Based Batch Service. In Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES; ISBN 978-989-758-681-1, SciTePress, pages 92-100. DOI: 10.5220/0012323800003639

in Bibtex Style

@conference{icores24,
author={Ayane Nakamura and Tuan Phung-Duc},
title={Equilibrium Analysis and Social Optimization of a Selectable Single or Time-Based Batch Service},
booktitle={Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES},
year={2024},
pages={92-100},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012323800003639},
isbn={978-989-758-681-1},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES
TI - Equilibrium Analysis and Social Optimization of a Selectable Single or Time-Based Batch Service
SN - 978-989-758-681-1
AU - Nakamura A.
AU - Phung-Duc T.
PY - 2024
SP - 92
EP - 100
DO - 10.5220/0012323800003639
PB - SciTePress