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Title: Reliability Analysis of an Industrial System using T-Norm and T-Conorm Operations
Authors: Garg, Shaweta
Supervisor: Garg, Harish
Keywords: Reliability analysis;fuzzy set theory;t-norm and t-conorm;repairable industrial system;uncertainty;Intuitionistic fuzzy set;decision making;behavior analysis;Availability and maintainability
Issue Date: 22-Aug-2016
Abstract: In the present era of global competition and faster delivery times, it has become imperative for all production systems to perform satisfactorily during their expected life span. However, failure is an inevitable fact related with technological products and systems used in all industries. Any unfortunate consequences of unreliable behavior of such equipments or systems leads to the desire for reliability analysis. Therefore, in recent years, the importance of reliability theory has been increasing greatly with the innovation of recent technology for the purpose of making good products with high quality and designing highly reliable systems. Now a days, researchers are paying more attention to the real life problem of improving the performance as well as profit margin of an industrial system. Therefore, in recent years, system reliability becomes an important issue in evaluating the performance of an engineering system and when it is low, efforts are desired for each subsystem/unit of a system by reducing their likelihood failures. For this detailed knowledge of failure behavior of the system as well as its components are needed so that suitable maintenance strategies may be applied for improving its performance. Thus, in the present scenario of global competition and faster delivery times, it is an important topic for decision-makers to fully consider the actual business and the quality requirements together. This is the reason why there is a growing interest in implementation and investigation of reliability principles for industrial systems. The present thesis is organized into four chapters which are briefly summarized as follows: A brief account of the related work of various authors in the evaluation of reliability of an industrial system by using conventional, fuzzy and optimization techniques is presented in the first chapter. In Chapter 2, the basic and preliminaries related to the reliability theory, fuzzy set theory and intuitionistic fuzzy set theory and to be used in the subsequent chapters are given. Chapter 3 presents a concept of generalized t-norm operation based methodology for analyzing the behavior of the industrial systems. For this, data related to various component of the system are extracted from the various resources and hence fuzzy set theory has been used for handling the uncertainties in the data. After quantifying the uncertainties, generalized fuzzy union and intersection operations have been used for depicting the membership functions of various reliability parameters such as failure rate, repair time, MTBF, reliability, availability etc. Both Sensitivity analysis and performance analysis have been conducted for finding the most critical component of the system in order to increase the efficiency of the system. A washing unit of the paper mill, a complex repairable industrial system, has been taken to validate the approach algorithm. In Chapter 4, an approach has been presented which deal with the intuitionistic fuzzy set (IFS) theory to analyze the reliability of series, series-parallel and mixed configuration structure. In this approach, uncertainties in the data are handled with the help of IFS and by integrating the experts knowledge and experience in terms of possibilities of failure of bottom events, a flexible and more realistic approach to analyze the fuzzy reliability of complex systems under uncertain environment has been presented.
Description: Master of Science-Mathematics and Computing
Appears in Collections:Masters Theses@SOM

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