Optimal replacement of systems subject to shocks and random threshold failure

• Published in: The International journal of quality & reliability management Vol. 23; no. 9; pp. 1176 - 1191
• Main Authors: Rangan, Alagar, Thyagarajan, Dimple, Sarada, Y
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Group Publishing Limited 01.12.2006
• Subjects: Approximation; Failure; Mathematical models; planning and control; Production; Production methods; Production planning; Random variables; Replacement control; Studies; System theory; Systems theory; Working hours; Systems theory; Production methods; Replacement control; Production; planning and control
• ISSN: 0265-671X; 1758-6682
• DOI: 10.1108/02656710610704267

Purpose - The purpose of this paper is to generalize Yeh and Zhang's 2004 random threshold failure model for deteriorating systems.Design methodology approach - An N-policy was adopted by which the system was replaced after the Nth failure.Findings - The model was found to have practical applications in warranty cost analysis.Originality value - By identifying the instance of a shock as the failure of the system and the threshold times as the warranty period offered and changing the definition of lethal shock (system failure in this case) as the occurrence of a shock within a threshold period in our generalized model, one can study the renewing warranty cost analysis.