Cost Optimization Analysis of Retrial Machine Repair Problem with Warm Standby Components and Imperfect Coverage

Tseng-Chang Yen, Wei-Ping Lai, Kuo-Hsiung Wang, Chia-Huang Wu

2025

Abstract

In this paper, we examine the cost optimization analysis of retrial machine repair problem with warm standby components and imperfect coverage. This research suggests that failure times and repair times of the primary and warm standby components are exponentially distributed and that the coverage factor is the same for a primary component failure and a standby component failure. When the server is either busy with other tasks or is repairing a failed component, the failed component will be sent to the retrial orbit. The steady-state probabilities of the number of failed components in an orbit is developed by using the matrix-analytic method. The particle swarm optimization (PSO) algorithm is implemented to simultaneously determine the joint optimal values of the number of warm standbys, the repair rate, and the retrial rate at minimum cost. Under optimal operating conditions, numerical experiments were presented to illustrate results. Sensitivity analysis for system parameters is performed additionally.

Paper Citation

in Harvard Style

Yen T., Lai W., Wang K. and Wu C. (2025). Cost Optimization Analysis of Retrial Machine Repair Problem with Warm Standby Components and Imperfect Coverage. In Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES; ISBN 978-989-758-732-0, SciTePress, pages 301-308. DOI: 10.5220/0013172500003893

in Bibtex Style

@conference{icores25,
author={Tseng-Chang Yen and Wei-Ping Lai and Kuo-Hsiung Wang and Chia-Huang Wu},
title={Cost Optimization Analysis of Retrial Machine Repair Problem with Warm Standby Components and Imperfect Coverage},
booktitle={Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES},
year={2025},
pages={301-308},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013172500003893},
isbn={978-989-758-732-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 14th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES
TI - Cost Optimization Analysis of Retrial Machine Repair Problem with Warm Standby Components and Imperfect Coverage
SN - 978-989-758-732-0
AU - Yen T.
AU - Lai W.
AU - Wang K.
AU - Wu C.
PY - 2025
SP - 301
EP - 308
DO - 10.5220/0013172500003893
PB - SciTePress