Journal ArticleDOI
A quasi renewal process and its applications in imperfect maintenance
Hongzhou Wang,Hoang Pham +1 more
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TLDR
According to the theory of the quasi-renewal process developed in this paper, the expected maintenance cost rate and availability are obtained and optimum maintenance policies are discussed for these three models.Abstract:
This paper proposes a quasi renewal process, and its application in maintenance theory is discussed. The properties of this quasi renewal process are studied and its renewal function is derived. Three imperfect maintenance models are proposed and they model imperfect maintenance in a way that, after maintenance, the lifetime of a unit will decrease to a fraction of its immediate previous one. According to the theory of the quasi-renewal process developed in this paper, the expected maintenance cost rate and availability are obtained and optimum maintenance policies are discussed for these three models. Finally, a class of related optimization problems is discussed and a numerical example is presentedread more
Citations
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Journal ArticleDOI
A survey of maintenance policies of deteriorating systems
TL;DR: This survey summarizes, classifies, and compares various existing maintenance policies for both single-unit and multi-unit systems, with emphasis on single- unit systems.
Journal ArticleDOI
Invited reviewImperfect maintenance
Hoang Pham,Hongzhou Wang +1 more
TL;DR: The maintenance of a deteriorating system is often imperfect: the system after maintenance will not as good as new, but younger as discussed by the authors, which indicates a significant breakthrough in reliability and maintenance theory.
Journal ArticleDOI
Maintenance models in warranty: A literature review
Mahmood Shafiee,Stefanka Chukova +1 more
TL;DR: This paper is the first identifiable academic literature review to deal with warranties and maintenance and provides a classification scheme for the articles that link warranty and maintenance published between 2001 and 2011 and proposes a taxonomy scheme to classify these articles.
Journal ArticleDOI
Linear and Nonlinear Preventive Maintenance Models
Shaomin Wu,Ming J. Zuo +1 more
TL;DR: This paper attempts to review existing PM models, and investigate their inter-relationships, and categorizes these models into three classes: linear, nonlinear, and a hybrid of both.
Journal ArticleDOI
Optimal Replacement Policy for Multi-State System Under Imperfect Maintenance
Yu Liu,Hong-Zhong Huang +1 more
TL;DR: To quantify the quality of imperfect maintenance, a quasi-renewal process is used to describe the stochastic behavior of each individual MSE after repair, and an explicit expression of the long-run expected profit per unit time is derived.
References
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Journal ArticleDOI
An Introduction to Probability Theory and Its Applications.
Journal ArticleDOI
Optimum Preventive Maintenance Policies
TL;DR: In this paper, two types of preventive maintenance policies are considered, and the optimum policies are determined, in each case, as unique solutions of certain integral equations depending on the failure distribution.