A sequential scheme to estimate the optimal age replacement policy

1992 ◽  
Vol 21 (8) ◽  
pp. 2325-2338
Author(s):  
Girish Aras ◽  
Lyn R. Whitaker
Keyword(s):  
Replacement Policy ◽  
Sequential Scheme ◽  
Age Replacement

On classes of life distributions based on the mean time to failure function

2021 ◽  
Vol 58 (2) ◽  
pp. 289-313
Author(s):  
Ruhul Ali Khan ◽  
Dhrubasish Bhattacharyya ◽  
Murari Mitra
Keyword(s):  
Damage Model ◽  
Replacement Policy ◽  
Time To Failure ◽  
Mean Time To Failure ◽  
Moment Convergence ◽  
Life Distributions ◽  
Cumulative Damage Model ◽  
The Mean ◽  
Age Replacement ◽  
Mean Time

AbstractThe performance and effectiveness of an age replacement policy can be assessed by its mean time to failure (MTTF) function. We develop shock model theory in different scenarios for classes of life distributions based on the MTTF function where the probabilities $\bar{P}_k$ of surviving the first k shocks are assumed to have discrete DMTTF, IMTTF and IDMTTF properties. The cumulative damage model of A-Hameed and Proschan [1] is studied in this context and analogous results are established. Weak convergence and moment convergence issues within the IDMTTF class of life distributions are explored. The preservation of the IDMTTF property under some basic reliability operations is also investigated. Finally we show that the intersection of IDMRL and IDMTTF classes contains the BFR family and establish results outlining the positions of various non-monotonic ageing classes in the hierarchy.

A weak derivative approach to optimization of threshold parameters in a multicomponent maintenance system

2001 ◽  
Vol 38 (02) ◽  
pp. 386-406 ◽  
Author(s):  
Bernd Heidergott
Keyword(s):  
Optimization Problems ◽  
Estimation Algorithm ◽  
Replacement Policy ◽  
Cost Performance ◽  
Weak Derivative ◽  
Preventive Replacement ◽  
Maintenance System ◽  
Threshold Optimization ◽  
Age Replacement ◽  
The Cost

We consider a multicomponent maintenance system controlled by an age replacement policy: when one of the components fails, it is immediately replaced; all components older than a threshold age θ are preventively replaced. Costs are associated with each maintenance action, such as replacement after failure or preventive replacement. We derive a weak derivative estimator for the derivative of the cost performance with respect to θ. The technique is quite general and can be applied to many other threshold optimization problems in maintenance. The estimator is easy to implement and considerably increases the efficiency of a Robbins-Monro type of stochastic approximation algorithm. The paper is self-contained in the sense that it includes a proof of the correctness of the weak derivative estimation algorithm.

scholarly journals AGE REPLACEMENT POLICY CONSIDERING WARRANTY WITH ONE CORRECTIVE REPLACEMENT AND MINIMAL REPAIRS

2001 ◽  
Vol 2001 (0) ◽  
pp. 165-169
Author(s):  
Koichiro Risaka ◽  
Hiroaki Sandoh ◽  
Toshio Nakagawa
Keyword(s):  
Replacement Policy ◽  
Age Replacement

AN ADAPTIVE AGE REPLACEMENT POLICY

1965 ◽  
Author(s):  
Bennett L. Fox
Keyword(s):  
Replacement Policy ◽  
Age Replacement

On optimal age replacement policy for a class of coherent systems

2020 ◽  
Vol 377 ◽  
pp. 112888 ◽  
Author(s):  
Serkan Eryilmaz ◽  
Mustafa Hilmi Pekalp
Keyword(s):  
Replacement Policy ◽  
Coherent Systems ◽  
Age Replacement

A hybrid preventive maintenance model for systems with partially observable degradation

2020 ◽  
Vol 31 (3) ◽  
pp. 345-365 ◽  
Author(s):  
Maxim Finkelstein ◽  
Ji Hwan Cha ◽  
Gregory Levitin
Keyword(s):  
Preventive Maintenance ◽  
Replacement Policy ◽  
Hybrid Strategy ◽  
Cost Rate ◽  
Shot Noise Process ◽  
Shock Process ◽  
Long Run ◽  
Age Replacement ◽  
Partially Observable ◽  
Maintenance Model

Abstract A new model of hybrid preventive maintenance of systems with partially observable degradation is developed. This model combines condition-based maintenance with age replacement maintenance in the proposed, specific way. A system, subject to a shock process, is replaced on failure or at some time ${T}_S$ if the number of shocks experienced by this time is greater than or equal to m or at time $T>{T}_S$ otherwise, whichever occurs first. Each shock increases the failure rate of the system at the random time of its occurrence, thus forming a corresponding shot-noise process. The real deterioration of the system is partially observed via observation of the shock process at time ${T}_S$. The corresponding optimization problem is solved and a detailed numerical example demonstrates that the long-run cost rate for the proposed optimal hybrid strategy is smaller than that for the standard optimal age replacement policy.

scholarly journals Optimal age replacement policy for parallel and series systems with dependent components

2020 ◽  
Vol 197 ◽  
pp. 106798 ◽  
Author(s):  
Fatemeh Safaei ◽  
Eric Châtelet ◽  
Jafar Ahmadi
Keyword(s):  
Replacement Policy ◽  
Age Replacement ◽  
Series Systems

Efficiency consideration of generalized age replacement policy

2018 ◽  
Vol 35 (3) ◽  
pp. 671-680
Author(s):  
Minjae Park ◽  
Ki Mun Jung ◽  
Jennifer Jae‐Young Kim ◽  
Dong Ho Park
Keyword(s):  
Replacement Policy ◽  
Age Replacement ◽  
Efficiency Consideration

An age replacement policy with increasing minimal repair cost

1989 ◽  
Vol 29 (2) ◽  
pp. 153-157 ◽  
Author(s):  
Won Young Yun
Keyword(s):  
Replacement Policy ◽  
Repair Cost ◽  
Minimal Repair ◽  
Age Replacement
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