Abstract
This research work is aimed at optimizing the availability of a framework comprising of two units linked together in series configuration utilizing Markov Model and Monte Carlo (MC) Simulation techniques. In this article, effort has been made to develop a maintenance model that incorporates three distinct states for each unit, while taking into account their different levels of deterioration. Calculations are carried out using the proposed model for two distinct cases of corrective repair, namely perfect and imperfect repairs, with as well as without opportunistic maintenance. Initially, results are accomplished using an analytical technique i.e., Markov Model. Validation of the results achieved is later carried out with the help of MC Simulation. In addition, MC Simulation based codes also work well for the frameworks that follow non-exponential failure and repair rates, and thus overcome the limitations offered by the Markov Model.
Highlights
Introduction and Literature ReviewAccording to international standards, maintenance is defined as a blend of specialized and administrative activities planned to keep a unit or a framework in, or reestablish it to, a state in which it can accomplish its desired task (ISO 14224, 2006) [1]
Markov Models are often utilized to deal with problems associated with availability and reliability of a framework, especially in situations where a unit can either fail or get repaired instantly
The primary hypothesis related to the Markov Model declares that the conduct of the framework is to be memory less in every individual state (Fuqua, [19])
Summary
Maintenance is defined as a blend of specialized and administrative activities planned to keep a unit or a framework in, or reestablish it to, a state in which it can accomplish its desired task (ISO 14224, 2006) [1]. The process involved decomposition of overall mission success into corresponding behaviors of framework as well as its units, by means of continuous time Markov chains so as to analyze CPR; this resulted in the exclusion of redundant states from the model In another related work, integrated modeling techniques were presented by Shrestha et al [7] for the reliability analysis of repairable PMS, considering ordered as well as unordered states. Jain [16] used the renewal theory to study the transient conduct of a multi-unit framework He calculated the instantaneous availability of the framework while keeping the time constant and developed a methodology to compute the times for opportunistic and preventive maintenance, in such a way that the cost is reduced.
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