Evaluation of the Discounted Warranty Cost of Minimally Repaired Series Systems under Gamma and Mixed Exponential Failure Laws

By : Naga Sunil Kumar Gandikota , Mohd Hilmi Hasan , Jafreezal Jaafar

Page No: 163-183

Abstract: Various factors should be considered in the modeling of DWC of repairable systems or products, including system structure, component failure processes, discounting methods, and the warranty policy itself. This paper presents discounted warranty cost (DWC) models for repairable series systems subject to Gamma and Mixed Exponential Failure Laws. In particular, a policy on a free repair warranty and a policy on a pro-rata guarantee are being studied. The impact of repair actions on the failure times of the components is assumed to be minimal, hence NHPPs is used to describe the failure processes. This paper considers two types of discounting methods: a continuous discount function and a discrete discount function. Expressions for both the expected value and the variance of DWC are obtained for Gamma and Mixed Exponential Failure Laws. The WRD was calculated for Gamma Failure Laws under application section. Further extension of this research is provided in the conclusion section.

Authors :
Naga Sunil Kumar Gandikota
Centre for Research in Data Science, Computer & Information Sciences Department, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia.

Mohd Hilmi Hasan
Centre for Research in Data Science, Computer & Information Sciences Department, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia.

Jafreezal Jaafar
Centre for Research in Data Science, Computer & Information Sciences Department, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Perak, Malaysia.
 

DOI: https://doi.org/10.32381/JCISS.2019.44.1-4.10