Reliability modelling of repairable systems using Petri nets and fuzzy Lambda–Tau methodology

Knežević, Jezdimir; Odoom, E. Ricky

doi:10.1016/s0951-8320(01)00017-5

Cited by 128 publications

(100 citation statements)

References 17 publications

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“…Chen (1994) presented a new method for analyzing system reliability using fuzzy number arithmetic operations. Knezevic and Odoom (2001) proposed a new methodology by making use of Petri nets (PNs) instead of fault trees. Arora and Kumar (1997) analyzed the availability for the coal handling system in the paper plant.…”

Section: Literature Reviewmentioning

confidence: 99%

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Aggarwal¹,

Kumar

Singh

2016

J Ind Eng Int

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The binary states, i.e., success or failed state assumptions used in conventional reliability are inappropriate for reliability analysis of complex industrial systems due to lack of sufficient probabilistic information. For large complex systems, the uncertainty of each individual parameter enhances the uncertainty of the system reliability. In this paper, the concept of fuzzy reliability has been used for reliability analysis of the system, and the effect of coverage factor, failure and repair rates of subsystems on fuzzy availability for fault-tolerant crystallization system of sugar plant is analyzed. Mathematical modeling of the system is carried out using the mnemonic rule to derive Chapman-Kolmogorov differential equations. These governing differential equations are solved with Runge-Kutta fourth-order method.

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Section: Literature Reviewmentioning

confidence: 99%

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Aggarwal¹,

Kumar

Singh

2016

J Ind Eng Int

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“…The basic expression used for analyzing the system based on constant failure rate model, that is, failure rate and repair time, follows the exponential distribution are summarized in Table 2. Knezevic and Odoom [11] extend this idea through PNs and fuzzy set theory for analyzing the various reliability parameters of the complex repairable industrial systems in the form of fuzzy membership functions. In their theory, PN is used for modeling the system while fuzzy takes care of impreciseness present in the data.…”

Section: Abcblt Techniquementioning

confidence: 99%

“…Instead of constructing the membership functions by using fuzzy arithmetic function, an ordinary arithmetic and optimization technique have been used for avoiding the high level of uncertainties existing in the computed reliability indices. For this a nonlinear programming problem (11) has been formulated by utilizing the quantified fuzzy θ s and τ s. Thus, the lower and upper boundary values of reliability indices are computed at cut level α by solving…”

Section: Abcblt Techniquementioning

confidence: 99%

“…In the present paper, system performance in terms of RAM-index of a repairable industrial systems has been analyzed by considering the time varying failure rate instead of constant failure rate model. To compute the RAM parameters and consequently RAMIndex by utilizing uncertain, limited, and vague data, an approach gave by Knezevic and Odoom [11] may be used. Based on these the behavior analysis of complex repairable industrial systems are analyzed by the researchers in the form of fuzzy membership functions of various reliability parameters [12,13].…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy RAM Analysis of the Screening Unit in a Paper Industry by Utilizing Uncertain Data

Garg

Rani

Sharma

2012

International Journal of Quality, Statistics, and Reliability

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Reliability, availability, and maintainability (RAM) analysis has helped to identify the critical and sensitive subsystems in the production systems that have a major effect on system performance. But the collected or available data, reflecting the system failure and repair patterns, are vague, uncertain, and imprecise due to various practical constraints. Under these circumstances it is difficult, if not possible, to analyze the system performance up to desired degree of accuracy. For this, Artificial Bee Colony based Lambda-Tau (ABCBLT) technique has been used for computing the RAM parameters by utilizing uncertain data up to a desired degree of accuracy. Results obtained are compared with the existing Fuzzy Lambda-Tau results and we conclude that proposed results have a less range of uncertainties. Also ranking the subcomponents for improving the performance of the system has been done using RAM-Index. The approach has been illustrated through analyzing the performance of the screening unit of a paper industry.

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“…Some widely used techniques are event tree, fault tree analysis (FTA), reliability block diagrams (RBD), Petri nets (PN), and Markovian approach, and so forth which perform by modelling the states of the system or the system [3][4][5][6][7]. Dhillion and Singh [8] have taken many systems to demonstrate their behaviour by using various engineering techniques.…”

Section: Introductionmentioning

confidence: 99%

Application of Markov Process in Performance Analysis of Feeding System of Sugar Industry

Sharma

Vishwakarma

2014

Journal of Industrial Mathematics

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To analyse the performance measures of complex repairable systems having more than two states, that is, working, reduced and failed, it is essential to model suitably their states so that the system governs a stochastic process. In this paper, the application of time-homogeneous Markov process is used to express reliability and availability of feeding system of sugar industry involving reduced states and it is found to be a powerful method that is totally based on modelling and numerical analysis. The selection of appropriate units/components in designing a system with different characteristics is necessary for the system analyst to maintain the failure-free operation. Keeping this concept in this study, the steady state availability of concern system is analysed and optimized by using a popular search technique, genetic algorithm. The objective of this paper is to consider the system operative process as Markov process and find its reliability function and steady state availability in a very effective manner and also to obtain an optimal system designing constituents which will allow a failure-free operation for long time period as required for maximum system productivity. The system performance measures and optimized design parameters are described and obtained here by considering an illustrative example.

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Reliability modelling of repairable systems using Petri nets and fuzzy Lambda–Tau methodology

Cited by 128 publications

References 17 publications

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant

Fuzzy RAM Analysis of the Screening Unit in a Paper Industry by Utilizing Uncertain Data

Application of Markov Process in Performance Analysis of Feeding System of Sugar Industry

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