scholarly journals Analysis of two components parallel repairable degenerate system with vacation

2021 ◽  
Vol 6 (10) ◽  
pp. 10602-10619
Author(s):  
YanLing Li ◽  
◽  
GenQi Xu ◽  
Hao Chen ◽  
◽  
...  
Keyword(s):  
Parallel System ◽  
Numerical Results ◽  
Replacement Policy ◽  
Degenerate System ◽  
Cost Rate ◽  
Single Vacation ◽  
System A ◽  
Optimal Replacement ◽  
Optimal Replacement Policy ◽  
Average Cost Rate

<abstract><p>This article studies a parallel repairable degradation system with two similar components and a repairman who can take a single vacation. Suppose that the system consists of two components that cannot be repaired "as good as new" after failures; when the repairman has a single vacation, the fault component of system may not be repaired immediately, namely, if a component fails and the repairman is on vacation, the repair of the component will be delayed, if a component fails and the repairman is on duty, the fault component can be repaired immediately. Under these assumptions, a replacement policy $ N $ based on the failed times of component 1 is studied. The explicit expression of the system average cost rate $ C(N) $ and the optimal replacement policy $ N^{\ast} $ by minimizing the $ C(N) $ are obtained, which means the two components of the system will be replaced at the same time if the failures of component 1 reach $ N^{\ast} $. To show the advantage of a parallel system, a replacement policy $ N $ of the cold standby system consisting of the two similar components is also considered. The numerical results of both systems are given by the numerical analysis. The optimal replacement policy $ N^* $ for both systems are obtained. Finally, the comparison of numerical results shows the advantages of the parallel system.</p></abstract>

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.

scholarly journals A study on an optimal replacement policy for a degenerative system under partial product process

10.26524/cm66 ◽  
2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Govindaraju P ◽  
Ashok Kumar P
Keyword(s):  
Average Cost ◽  
Process Model ◽  
Replacement Policy ◽  
Partial Product ◽  
Cost Rate ◽  
Optimal Replacement ◽  
Optimal Replacement Policy ◽  
Monotone Process ◽  
Average Cost Rate

In this paper, we study a degenerative reparable system with two types of failure states.Any system after repair can not be as good as new. A general monotone process model for adegenerative system under partial product process is used. We use a replacement policy N based on the failure number of the system and to determine an optimal replacement policy N* such that the average cost rate is minimized.

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 bivariate optimal replacement policy for a repairable system

1994 ◽  
Vol 31 (4) ◽  
pp. 1123-1127 ◽  
Author(s):  
Yuan Lin Zhang
Keyword(s):  
Explicit Expression ◽  
Average Cost ◽  
Replacement Policy ◽  
Repairable System ◽  
Optimal Replacement ◽  
Long Run ◽  
Optimal Replacement Policy ◽  
Working Age ◽  
Better Than

In this paper, a repairable system consisting of one unit and a single repairman is studied. Assume that the system after repair is not as good as new. Under this assumption, a bivariate replacement policy (T, N), where T is the working age and N is the number of failures of the system is studied. The problem is to determine the optimal replacement policy (T, N)∗such that the long-run average cost per unit time is minimized. The explicit expression of the long-run average cost per unit time is derived, and the corresponding optimal replacement policy can be determined analytically or numerically. Finally, under some conditions, we show that the policy (T, N)∗ is better than policies N∗ or T∗.

Burn-in procedures for a generalized model

2001 ◽  
Vol 38 (02) ◽  
pp. 542-553 ◽  
Author(s):  
Ji Hwan Cha
Keyword(s):  
The Other ◽  
Replacement Policy ◽  
Type I ◽  
Type Ii ◽  
Failure Model ◽  
Minimal Repair ◽  
Optimal Replacement ◽  
Complete Repair ◽  
Optimal Replacement Policy ◽  
Type Of Failure

In this paper two burn-in procedures for a general failure model are considered. There are two types of failure in the general failure model. One is Type I failure (minor failure) which can be removed by a minimal repair or a complete repair and the other is Type II failure (catastrophic failure) which can be removed only by a complete repair. During a burn-in process, with burn-in Procedure I, the failed component is repaired completely regardless of the type of failure, whereas, with burn-in Procedure II, only minimal repair is done for the Type I failure and a complete repair is performed for the Type II failure. In field use, the component is replaced by a new burned-in component at the ‘field use age’ T or at the time of the first Type II failure, whichever occurs first. Under the model, the problems of determining optimal burn-in time and optimal replacement policy are considered. The two burn-in procedures are compared in cases when both the procedures are applicable.

scholarly journals A Robust Bayesian Approach to an Optimal Replacement Policy for Gas Pipelines

Entropy ◽  
2015 ◽  
Vol 17 (6) ◽  
pp. 3656-3678 ◽  
Author(s):  
José Arias-Nicolás ◽  
Jacinto Martín ◽  
Fabrizio Ruggeri ◽  
Alfonso Suárez-Llorens
Keyword(s):  
Bayesian Approach ◽  
Replacement Policy ◽  
Gas Pipelines ◽  
Optimal Replacement ◽  
Optimal Replacement Policy
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