scholarly journals A bivariate optimal replacement policy with cumulative repair cost limit under cumulative damage model

Sadhana ◽  
2016 ◽  
Vol 41 (5) ◽  
pp. 497-505 ◽  
Author(s):  
Min-Tsai Lai ◽  
Shih-Chih Chen
Keyword(s):  
Damage Model ◽  
Cumulative Damage ◽  
Replacement Policy ◽  
Repair Cost ◽  
Optimal Replacement ◽  
Optimal Replacement Policy ◽  
Cumulative Damage Model ◽  
Cost Limit

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.

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.

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