A COMPARISON STUDY OF REPLACEMENT POLICIES FOR A CUMULATIVE DAMAGE MODEL

2014 ◽  
Vol 21 (04) ◽  
pp. 1450021
Author(s):  
ALFONSUS JULANTO ENDHARTA ◽  
WON YOUNG YUN
Keyword(s):  
Damage Model ◽  
Cumulative Damage ◽  
Replacement Policy ◽  
Model Parameters ◽  
Comparison Study ◽  
Expected Cost ◽  
Numerical Examples ◽  
Cost Rate ◽  
Periodic Inspection ◽  
Cumulative Damage Model

A comparison study in basic preventive replacement (PR) policies based on a cumulative damage model is done. Three well-known PR policies (time-based, shock number-based, cumulative damage-based policies) are considered and the expected cost rate is used as the objective function to determine the optimal policy. Each policy requires certain information in the cumulative damage model. We evaluate the expected values of information by numerical examples and investigate the effect of model parameters and cost terms on the optimal expected cost rate. A damage-based replacement policy with periodic inspection is also proposed and compared with the three PR policies by numerical examples.

RANDOM AND AGE REPLACEMENT POLICIES

2010 ◽  
Vol 17 (01) ◽  
pp. 27-39 ◽  
Author(s):  
MINGCHIH CHEN ◽  
SATOSHI MIZUTANI ◽  
TOSHIO NAKAGAWA
Keyword(s):  
Damage Model ◽  
Working Time ◽  
Replacement Policy ◽  
Extended Model ◽  
Expected Cost ◽  
Cost Rate ◽  
Cumulative Damage Model ◽  
Age Replacement ◽  
Random Times ◽  
Operating Unit

This paper proposes a random and age replacement policy for an operating unit which works at random times. First, the unit is replaced before failure at a planned time T or at the completion of a working time, whichever occurs first. The expected cost rate is obtained. Next, as one extended model, the unit is replaced before failure at a number N of working times or at a planned time T. An optimal policy which minimizes the expected cost rate is discussed analytically, and its numerical example is given. Two modified models, where the unit is replaced at the first completion of the working time over time T or at number N, and it is replaced at time T or number N, whichever occurs last, are considered. Furthermore, we show that this corresponds to a cumulative damage model by replacing shock with work. Finally, one optimization problem of how much time to preset for scheduling the completion of N works is proposed.

Optimal Replacement Policy for a Cumulative Damage Model with Deteriorated Inspection

1997 ◽  
Vol 04 (04) ◽  
pp. 387-393 ◽  
Author(s):  
Takashi Satow ◽  
Toshio Nakagawa
Keyword(s):  
Damage Model ◽  
Optimal Number ◽  
Cumulative Damage ◽  
Replacement Policy ◽  
Cost Rate ◽  
Optimal Replacement ◽  
Optimal Replacement Policy ◽  
Cumulative Damage Model ◽  
Non Homogeneous Poisson Process ◽  
Total Damage

This paper proposes a replacement policy for a cumulative damage model where a unit suffers damage caused by both shocks and inspections, and fails when the total damage has exceeded a failure level. To detect such failure, a unit is inspected at periodic times kT(k = 1, 2, …), and is replaced by a new one at detection of failure or at time nT, whichever occurs first. The expected cost rate is derived, when shocks occur at a non-homogeneous Poisson process, and an optimal number n* which minimizes it is discussed. Numerical examples are finally given.

scholarly journals Optimal replacement policy under cumulative damage model and strength degradation with applications

2021 ◽  
Author(s):  
Phalguni Nanda ◽  
Prajamitra Bhuyan ◽  
Anup Dewanji
Keyword(s):  
Damage Model ◽  
Strength Degradation ◽  
Cumulative Damage ◽  
Expected Cost ◽  
Replacement Strategy ◽  
Optimal Replacement ◽  
Poisson Arrival ◽  
Cumulative Damage Model ◽  
The Cost ◽  
Minimum Expected Cost

AbstractIn many real-life scenarios, system failure depends on dynamic stress-strength interference, where strength degrades and stress accumulates concurrently over time. In this paper, we consider the problem of finding an optimal replacement strategy that balances the cost of replacement with the cost of failure and results in the minimum expected cost per unit time under cumulative damage model with strength degradation. In the most general setting, we propose to find optimal choices of three thresholds on operation time, number of arriving shocks and amount of cumulative damage such that replacement of the system due to failure or reaching any of the three thresholds, whichever occurs first, results in the minimum expected cost per unit time. The existing recommendations are applicable only under the assumption of Exponential damage distribution including Poisson arrival of shocks and/or with fixed strength. As theoretical evaluation of the expected cost per unit time turns out to be very complicated, a simulation-based algorithm is proposed to evaluate the expected cost rate and find the optimal replacement strategy. The proposed method is easy to implement having wider domain of application including non-Poisson arrival of shocks and non-Exponential damage distributions. For illustration, the proposed method is applied to real case studies on mailbox and cell-phone battery experiments.

scholarly journals Maintenance Overtime Policy with Cumulative Damage

2018 ◽  
Vol 3 (2) ◽  
pp. 123-135 ◽  
Author(s):  
Satoshi Mizutani ◽  
Toshio Nakagawa
Keyword(s):  
Damage Model ◽  
Optimal Number ◽  
Cumulative Damage ◽  
Damage Level ◽  
Cost Rate ◽  
Cumulative Damage Model ◽  
The Mean ◽  
Scheduled Time ◽  
Mean Time ◽  
Total Damage

We propose an extended maintenance overtime policy for the cumulative damage model where an operating unit suffers some damage due to shocks. It is assumed that the total damage is additive, and the unit fails when the total damage has exceeded a prespecified damage level. It is supposed that we start to observe occurrence of shocks after time T, and the unit is replaced at Nth (N=1,2,…) shock over time T or at failure, whichever occurs first. That is, we propose a new policy by extending maintenance overtime policy. One example is a rental of system such as industrial equipment with some reservations. For such systems, they should be maintained or replaced at a prespecified number of uses over a scheduled time. For such a model, we obtain the mean time to replacement and the expected costs rate. Further, we discuss about optimal number N^* and time T^* which minimizes the expected cost rate when shocks occur in a Poisson process. Finally, numerical examples are given, and suitable discussions are made.

Optimal two-threshold replacement policy in a cumulative damage model

2016 ◽  
Vol 244 (1) ◽  
pp. 23-47 ◽  
Author(s):  
Shey-Huei Sheu ◽  
Tzu-Hsin Liu ◽  
Zhe-George Zhang ◽  
Hsin-Nan Tsai ◽  
Jung-Chih Chen
Keyword(s):  
Damage Model ◽  
Cumulative Damage ◽  
Replacement Policy ◽  
Cumulative Damage Model

Analysis of Disassembled Module with Damage Model for Recycling

2006 ◽  
Vol 532-533 ◽  
pp. 177-180
Author(s):  
Yong Ji ◽  
Hirohisa Narita ◽  
Lian Yi Chen ◽  
Hideo Fujimoto
Keyword(s):  
Damage Model ◽  
Life Time ◽  
Optimal Number ◽  
Cumulative Damage ◽  
Maintenance Cost ◽  
Damage Level ◽  
Cost Rate ◽  
Optimal Maintenance ◽  
Cumulative Damage Model ◽  
Prime Problem

As environmental problems have become more serious, a sustainable society is necessary. To realize the inverse manufacturing system the prime problem is how to improve the rate of reusing the product modules. Therefore analyzing the life-time of the disassembled modules is very important before reassembling process. In this paper, a cumulative damage model is proposed to discuss the quality of the product that is assembled by reuse modules. It is supposed that modules suffer damages due to shocks and fails when the cumulative damage level exceeds the failure level. Then maintenance cost will be analyzed in order to minimize the expected maintenance cost-rate by optimal maintenance time T and optimal number of damages N in this cumulative damage model. The probable safe life-time of module reuse will be explored. Finally numerical examples are given to confirm the validity of the proposed model.

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.

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