BOOTSTRAP CONFIDENCE INTERVAL OF OPTIMAL AGE REPLACEMENT POLICY

Author:

TOKUMOTO SHUNSUKE1,DOHI TADASHI1,YUN WON YOUNG2

Affiliation:

1. Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan

2. Department of Industrial Engineering, Pusan National University, 30 Changjeon-Dong, Kumjeong-Ku, Busan 609-735, Korea

Abstract

In this paper, we consider an interval estimation of the age replacement problem, where the underlying failure time probability is given by the two-parameter Weibull distribution. The parametric bootstrap is used to obtain the probability distribution of an estimator for the optimal age replacement time minimizing the expected cost per unit time in the steady state. We focus on both cases with complete and incomplete samples of failure time data, and calculate not only the higher moments of an estimator for the optimal age replacement time but also the confidence interval.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Maintenance Policies for Non-repairable Components;International Series in Operations Research & Management Science;2021-12-09

2. Parametric Bootstrap Methods for Estimating Model Parameters of Non-homogeneous Gamma Process;International Journal of Mathematical, Engineering and Management Sciences;2018-06-01

3. Kernel-based nonparametric estimation methods for a periodic replacement problem with minimal repair;Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability;2015-09-15

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