A1039
Title: Reliability analysis of load-sharing systems using a flexible model with piecewise linear functions
Authors: Debanjan Mitra - Indian Institute of Management Udaipur (India) [presenting]
Ayon Ganguly - Indian Institute of Technology Guwahati (India)
Abstract: A flexible model to analyse data from load-sharing systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The advantages of the resulting model are that it is data-driven and does not use strong assumptions on the underlying component lifetimes. Due to its flexible nature, the model is capable of providing a good fit to data obtained from load-sharing systems in general, thus resulting in an accurate estimation of important reliability characteristics. Estimates of reliability at a mission time, quantile function, mean time to failure and mean residual time for load-sharing systems are developed under the proposed model involving piecewise linear functions. Maximum likelihood estimation and construction of confidence intervals for the proposed model are discussed in detail. The performance of the proposed model is observed to be quite satisfactory through a detailed Monte Carlo simulation study. Analysis of load-sharing data pertaining to the lives of a two-motor load-sharing system is provided as an illustrative example. A comprehensive discussion is presented on a flexible model that can be used for load-sharing systems efficiently.
