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 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.

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.

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.

scholarly journals Determining Optimal Replacement Policy with an Availability Constraint via Genetic Algorithms

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Shengliang Zong ◽  
Guorong Chai ◽  
Yana Su
Keyword(s):  
Genetic Algorithm ◽  
Average Cost ◽  
Operating Time ◽  
Threshold Value ◽  
Replacement Policy ◽  
Time Interval ◽  
Cost Rate ◽  
Optimal Replacement ◽  
Optimal Replacement Policy ◽  
Average Cost Rate

We develop a model and a genetic algorithm for determining an optimal replacement policy for power equipment subject to Poisson shocks. If the time interval of two consecutive shocks is less than a threshold value, the failed equipment can be repaired. We assume that the operating time after repair is stochastically nonincreasing and the repair time is exponentially distributed with a geometric increasing mean. Our objective is to minimize the expected average cost under an availability requirement. Based on this average cost function, we propose the genetic algorithm to locate the optimal replacement policyNto minimize the average cost rate. The results show that the GA is effective and efficient in finding the optimal solutions. The availability of equipment has significance effect on the optimal replacement policy. Many practical systems fit the model developed in this paper.

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