Title: Preventive replacement policy with cumulative repair-cost limit for a system under increasing failure rate shock model

Authors: Min-Tsai Lai; Chung-Wen Hung

Addresses: Department of Business Administration, Southern Taiwan University, No. 1, Nan-Tai Street, Yongkang Dist., Tainan City 710, Taiwan ' Department of Accounting Information, Southern Taiwan University, No. 1, Nan-Tai Street, Yongkang Dist., Tainan City 710, Taiwan

Abstract: A system is subject to shocks and these shocks are divided into two types: non-lethal and lethal shocks. Non-lethal shocks increase the failure rate of the system along with the age of the system and make the system eventually into a minor failure. Lethal shock whenever occurs makes the system critical failure. This shock process is called an increasing failure rate shock model. A minor failure is corrected by minimal repair, while a critical failure is rectified by replacement. In this paper, we propose a periodical replacement policy for a system, incorporating with the concept of cumulative repair-cost limit. While carrying out minimal repair, the repair cost and the accumulated repair cost are calculated. The system is replaced at age T or a minor failure at which the accumulated repair cost exceeds a predetermined threshold L or at a critical failure. The minimum-cost replacement policy is studied and a sensitivity analysis is conducted to evaluate the effect of model parameters on the optimal T*.

Keywords: periodical replacement policies; increasing failure rates; shock models; cumulative repair-cost limits; minimal repairs; preventive replacement policies; non-lethal shocks; lethal shocks; minor failures; critical failures; minimal repairs; repair costs; accumulated costs; predetermined thresholds; sensitivity analysis; model parameters; productivity management; quality management.

DOI: 10.1504/IJPQM.2012.047190

International Journal of Productivity and Quality Management, 2012 Vol.9 No.4, pp.423 - 436

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 05 Jun 2012 *

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