Optimal Periodic Preventive Repair and Replacement Policy Assuming Geometric Process Repair

2006 ◽  
Vol 55 (1) ◽  
pp. 118-122 ◽  
Author(s):  
G.J. Wang ◽  
Y.L. Zhang
Keyword(s):  
Replacement Policy ◽  
Geometric Process ◽  
Preventive Repair

Replacement Policy for Cold Standby Repairable System with Priority in Use by Using Arithmetico-Geometric Process

2019 ◽  
Vol 27 (03) ◽  
pp. 2050009
Author(s):  
Raosaheb V. Latpate ◽  
Babasaheb K. Thorve
Keyword(s):  
Working Time ◽  
Repair Time ◽  
Replacement Policy ◽  
Repairable System ◽  
Policy System ◽  
Geometric Process ◽  
Long Run ◽  
Cold Standby ◽  
Study Component ◽  
Renewal Cycle

In this paper, we consider the arithmetico-geometric process (AGP) repair model. Here, the system has two nonidentical component cold standby repairable system with one repairman. Under this study, component 1 has given priority in use. It is assumed that component 2 after repair is as good as new, whereas the component 1 follows AGP. Under these assumptions, by using AGP repair model, we present a replacement policy based on number of failures, [Formula: see text], of component 1 such that long-run expected reward per unit time is maximized. For this policy, system can be replaced when number of failure of the component 1 reaches to [Formula: see text]. Working time of the component 1 is AGP and it is stochastically decreasing whereas repair time of the component 1 is AGP which is stochastically increasing. The expression for long-run expected reward per unit time for a renewal cycle is derived and illustrated proposed policy with numerical examples by assuming Weibull distributed working time and repair time of the component 1. Also, proposed AGP repair model is compared with the geometric process repair model.

scholarly journals A note on the optimal replacement problem

1988 ◽  
Vol 20 (02) ◽  
pp. 479-482 ◽  
Author(s):  
Lam Yeh
Keyword(s):  
The Other ◽  
Replacement Policy ◽  
Survival Times ◽  
Geometric Process ◽  
System Form ◽  
Optimal Replacement ◽  
Long Run ◽  
Replacement Model ◽  
Working Age ◽  
Replacement Problem

In this note, we study a new repair replacement model for a deteriorating system, in which the successive survival times of the system form a geometric process and are stochastically non-increasing, whereas the consecutive repair times after failure also constitute a geometric process but are stochastically non-decreasing. Two kinds of replacement policy are considered, one based on the working age of the system and the other one determined by the number of failures. The explicit expressions of the long-run average costs per unit time under these two kinds of policy are calculated.

scholarly journals Optimal order-replacement policy for a phase-type geometric process model with extreme shocks

2014 ◽  
Vol 38 (17-18) ◽  
pp. 4323-4332 ◽  
Author(s):  
Miaomiao Yu ◽  
Yinghui Tang ◽  
Wenqing Wu ◽  
Jie Zhou
Keyword(s):  
Process Model ◽  
Replacement Policy ◽  
Optimal Order ◽  
Geometric Process ◽  
Phase Type

scholarly journals Reliability Analysis of Two Unit Standby Model with Controlled and Uncontrolled Failure of Unit and Replacement Facility Available in the System

2021 ◽  
pp. 625-632
Author(s):  
Nafeesa Bashir ◽  
JPS Joorel ◽  
T R Jan
Keyword(s):  
Present Model ◽  
Design Strategy ◽  
Replacement Policy ◽  
System Failure ◽  
Reliability Measures ◽  
Primary Interest ◽  
Efficient System ◽  
Regenerative Point ◽  
Regenerative Point Technique ◽  
Preventive Repair

Planning a highly reliable and efficient system has always been a primary interest for reliability engineers by devising the powerful design strategy and employing effective repair and replacement policy. Keeping in view this, the basic aim of this paper is to analyze the reliability of a system which comprised of two units A and B in which unit A is functional and B is held standby. Unit A after failure may be controlled or uncontrolled. The failed unit undergoes for repair in the controlled unit. If the repair of a unit is not controlled then it is replaced by a new one.  Upon the breakdown of operational unit A, unit B come becomes active instantaneously. Unit B after failure is repaired by regular repairmen. System failure takes place when both the units quit serving. The unit serves as good as a fresh after preventive repair and replacement policy. The regenerative point technique has been used to obtain the expression for several reliability measures. Finally, the graphical behavior of MTSF and profit of the present model has been observed for arbitrary values of parameters and costs.

scholarly journals A Monotone Process Maintenance Model for a Multistate System

2005 ◽  
Vol 42 (01) ◽  
pp. 1-14 ◽  
Author(s):  
Lam Yeh
Keyword(s):  
Average Cost ◽  
Process Model ◽  
Replacement Policy ◽  
Geometric Process ◽  
Optimal Replacement ◽  
Multistate System ◽  
Long Run ◽  
Optimal Replacement Policy ◽  
Monotone Process ◽  
Maintenance Model

In this paper, we study a monotone process maintenance model for a multistate system with k working states and ℓ failure states. By making different assumptions, we can apply the model to a multistate deteriorating system as well as to a multistate improving system. We show that the monotone process model for a multistate system is equivalent to a geometric process model for a two-state system. Then, for both the deteriorating and the improving system, we analytically determine an optimal replacement policy for minimizing the long-run average cost per unit time.

An extended geometric process and its application in replacement policy

2019 ◽  
Vol 234 (1) ◽  
pp. 88-103
Author(s):  
Wenke Gao
Keyword(s):  
Process Model ◽  
Manufacturing Systems ◽  
Failure Time ◽  
Replacement Policy ◽  
Recovery Factor ◽  
Estimation Methods ◽  
Repairable Systems ◽  
Geometric Process ◽  
The Mean ◽  
Parameter Estimation Methods

In this article, we develop an extended geometric process model with a recovery factor and propose a two-dimensional evaluation function for each maintenance effect. The developed model can describe the mean inter-failure time which can be improved by the first or several former repairs in some repairable systems. We also propose parameter estimation methods for the developed geometric process model and use some real failure datum to prove the model’s application. Focused on the developed geometric process model, two novel replacement policies and their optimizations are also presented in detail. Then, two real case studies are discussed to illustrate the modelling and optimizing process. Modelling results show that each recovery factor is related to the effect of each repair, and the developed geometric process model has a good-fitting property for some real cases. Optimization results display that the optimal ( N, m) replacement policy is applicable for some small-sized manufacturing systems, whereas the proposed ( N) replacement policy is suitable for some expensive systems.

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