Preventive Maintenance of Multi-State System with Phase-Type Failure Time Distribution and Non-Zero Inspection Time

2003 ◽  
Vol 10 (03) ◽  
pp. 323-344 ◽  
Author(s):  
Dongyan Chen ◽  
Yonghuan Cao ◽  
Kishor S. Trivedi ◽  
Yiguang Hong
Keyword(s):  
Preventive Maintenance ◽  
Failure Time ◽  
Regenerative Process ◽  
Inspection Time ◽  
Maintenance Policy ◽  
System Availability ◽  
Failure Time Distribution ◽  
Set Up ◽  
Markov Regenerative Process ◽  
The Mathematical Model

Preventive maintenance is applied to improve the system availability or decrease the operational cost. This paper addresses the optimal preventive maintenance problem for multi-state deteriorating systems, where the system experiences multiple stages of performance degradation before it fails. We consider a general case where the inspection and repair time are generally distributed. The threshold type maintenance policy is employed for preventive minor maintenance and preventive major maintenance, where minor or major maintenance is carried out when the system deterioration stage is found to be larger than certain thresholds. The mathematical model of the system is set up by means of a Markov regenerative process (MRGP). With this formulation, the system steady-state probabilities under consideration are computed.

scholarly journals Preventive maintenance policy on leasing by considering the usage rate

2018 ◽  
Vol 204 ◽  
pp. 02016
Author(s):  
Moh. Jufriyanto ◽  
Nani Kurniati ◽  
Ade Supriatna
Keyword(s):  
Preventive Maintenance ◽  
Failure Time ◽  
Equipment Failure ◽  
Maintenance Policy ◽  
Time Duration ◽  
Maintenance Costs ◽  
Operational Conditions ◽  
Penalty Cost ◽  
Usage Rate ◽  
Preventive Maintenance Policy

The needs of the consumers about the functionality of a product and increase maintenance costs of equipment caused the prices of products and treatments to be expensive. Therefore, the company considers the lease rather than buy it. Leasing provides interesting strategy when dealing with expensive equipment. Policy maintenance that is done to the product that has decreased performance. Minimum repair done to fix failed equipment in order to return to operational condition, while imperfect preventive maintenance to improve the operational conditions of the equipment to avoid failure. Time duration for a minimum repair neglected. The lessor will charge a penalty (penalty cost) if the lease equipment failure. Mathematical model built for the minimization cost of maintenance policy. In the final part, the numerical experiment are given to show the maintenance policy taking into account the rate of usage (usage rate) by knowing the minimization the resulting costs.

OPTIMAL RANDOM AGE REPLACEMENT FOR AVAILABILITY

2012 ◽  
Vol 19 (05) ◽  
pp. 1250021 ◽  
Author(s):  
JOHN E. ANGUS ◽  
MENG-LAI YIN ◽  
KISHOR TRIVEDI
Keyword(s):  
Preventive Maintenance ◽  
Sufficient Conditions ◽  
Optimal Rate ◽  
Maintenance Policy ◽  
Design Decisions ◽  
System Availability ◽  
Critical Design ◽  
Long Run ◽  
Age Replacement

An age replacement maintenance policy is considered here, in which a system is restored whenever it fails, or ages without failure up to a preventive maintenance epoch (whichever comes first). The duration of the restoration activity is random, and depends on whether it was precipitated by a failure or by a preventive maintenance action. The case where the preventive maintenance epoch is deterministic has been studied previously, and shown to be optimal in a certain sense. Here, we consider the case where the preventive maintenance epoch is randomized, which is more realistic for many systems. The system availability is the long run proportion of time that the system is operational (i.e., not undergoing repair or preventive maintenance). The optimal rate of preventive maintenance to maximize availability is considered, along with sufficient conditions for such an optimum to exist. The results obtained herein are useful to systems engineers in making critical design decisions.

Optimal Preventive Maintenance Under Decision Dependent Uncertainty

2006 ◽  
Author(s):  
Alexander Galenko ◽  
Elmira Popova ◽  
Ernie Kee ◽  
Rick Grantom
Keyword(s):  
Preventive Maintenance ◽  
Time Distribution ◽  
Failure Time ◽  
South Texas ◽  
Maintenance Cost ◽  
Failure Time Distribution ◽  
Failure Times ◽  
Decision Dependent Uncertainty ◽  
Dependent Failure ◽  
Operating Company

We analyze a system of N components with dependent failure times. The goal is to obtain the optimal block replacement interval (different for each component) over a finite horizon that minimizes the expected total maintenance cost. In addition, we allow each preventive maintenance action to change the future joint failure time distribution. We illustrate our methodology with an example from South Texas Project Nuclear Operating Company.

scholarly journals Modeling Spare Parts Demands Forecast under Two-Dimensional Preventive Maintenance Policy

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Qiwei Hu ◽  
Yongsheng Bai ◽  
Jianmin Zhao ◽  
Wenbin Cao
Keyword(s):  
Preventive Maintenance ◽  
Spare Parts ◽  
Two Dimensional ◽  
Maintenance Policy ◽  
Calendar Time ◽  
Maintenance Practice ◽  
Preventive Maintenance Policy ◽  
The Mathematical Model ◽  
Novel Model

In maintenance practice, there is such a situation where the spare parts replacement should be carried out at the scheduling time of calendar or usage for whichever comes first. The issue of two-dimensional preventive maintenance usually was not addressed by traditional methods, and at present, few studies were focused on this very topic. Based on these considerations, this paper presented the two-dimensional preventive policy where replacements of spare parts are based on both calendar time and usage time. A novel model was developed to forecast spare parts demands under two-dimensional preventive maintenance policy, and a discrete algorithm was presented for solving the mathematical model. A case study was given to demonstrate its applicability and validity, and it was showed that the presented model can be used to forecast spare parts demands as well as to optimize spare parts and preventive maintenance jointly.

scholarly journals Integrated Preventive Maintenance Scheduling Model with Redundancy for Cutting Tools on a Single Machine

2020 ◽  
Vol 10 (6) ◽  
pp. 6542-6548
Author(s):  
L. S. Tavassoli ◽  
N. Sakhavand ◽  
S. S. Fazeli
Keyword(s):  
Single Machine ◽  
Preventive Maintenance ◽  
Cutting Tools ◽  
Simultaneous Optimization ◽  
Maintenance Policy ◽  
Nsga Ii ◽  
Work Cycle ◽  
Real Market ◽  
Set Up ◽  
A Minor

In this paper, we present an integrated multi-objective framework of a single machine for a single cutting tool problem. Our maintenance policy is based on performing minimal repairs in case of a minor failure and Preventive Maintenance (PM) to avoid a major failure that results in the replacement of the tool. This framework allows simultaneous optimization of the two conflicting time and cost objectives. A redundant system is proposed as a part of the model to assist the production line under a major failure. In addition, the tool’s preventive maintenance time is synchronized with the completion of the machine tool’s work cycle to reduce the machine’s set-up time. The model was optimized using a customized Non-dominated Sorting Genetic Algorithm (NSGA-II). An experimental study based on real-market data was conducted and the results were compared with the ones obtained from classical methods.

Research on Dynamic Balance Method of Precision Centrifuge

2014 ◽  
Vol 945-949 ◽  
pp. 777-780
Author(s):  
Tao Liu ◽  
Yong Xu ◽  
Bo Yuan Mao
Keyword(s):  
Mathematical Model ◽  
Balance Control ◽  
Dynamic Balance ◽  
Dynamic Balancing ◽  
Structure Characteristics ◽  
Balance System ◽  
Simulation Results ◽  
Set Up ◽  
System Controller ◽  
The Mathematical Model

Firstly, according to the structure characteristics of precision centrifuge, the mathematical model of its dynamic balancing system was set up, and the dynamic balancing scheme of double test surfaces, double emendation surfaces were established. Then the dynamic balance system controller of precision centrifuge was designed. Simulation results show that the controller designed can completely meet the requirements of precision centrifuge dynamic balance control system.

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