Stochastic behaviour analysis of a Markov model under multi-state failures

Ram, Mangey; Manglik, Monika

doi:10.1007/s13198-014-0234-5

Cited by 17 publications

(5 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Інформаційна технологія, яка забезпечує його визначення за допомогою морфологічної моделі виглядає наступним чином. На початку розглядається конструктивна схема об'єкта та пропонуються варіанти її структурної моделі з урахуванням умов експлуатації і можливими відмовами, зв'язками між окремими елементами системи та видами резервування [15]. Для кожного з варіантів будується інформаційна морфологічна модель і розраховується показник структурної відмовостійкості.…”

Section: викладення основного матеріалуunclassified

Application of the information morphological model for planning of rehabilitation of chemical equipment

Saveleva¹,

Toropenko²,

Toropenko³

2018

Bulletin of the National Technical University «KhPI» Series: New Solutions in Modern Technologies

View full text Add to dashboard Cite

Розглянута можливість застосування інформаційної структурної технології визначення показника структурної відмовостійкості для підвищення ефективності планування технічного обслуговування і ремонтів технічних об'єктів. Технологія базується на побудові морфологічної моделі об'єкта та дозволяє отримувати значення величини ймовірності безвідмовної роботи системи при структурній подобі її моделі нейроподібній мережі Запропоновано механічним аналогом повторного навчання мережі вважати ремонт технічних об'єктів. Ключові слова: відмовостійкість; надійність технічних систем; організація ремонтів; моделювання

show abstract

Section: викладення основного матеріалуunclassified

Application of the information morphological model for planning of rehabilitation of chemical equipment

Saveleva¹,

Toropenko²,

Toropenko³

2018

Bulletin of the National Technical University «KhPI» Series: New Solutions in Modern Technologies

View full text Add to dashboard Cite

show abstract

“…The MTTF is the predicted elapsed time between the inherent failures of a system during operation. It can be calculated as the average time between the failures of the system (Ram and Manglik, 2014). By considering the repair rate 0 and taking the limit of s tends to 0 in Equation (20), one can evaluate the MTTF of the system as: …”

Section: Particular Cases and Numerical Computationmentioning

confidence: 99%

Sensitivity analysis of a three-unit series system under k-out-of-n redundancy

Goyal

Ram

Amoli

et al. 2017

IJQRM

Self Cite

View full text Add to dashboard Cite

Purpose The purpose of this paper is to investigate the reliability measures, namely, availability, reliability, mean time to failure and expected profit. The authors also analyse the sensitivity of these reliability measures. Design/methodology/approach Depending upon the real industrial relevance, a generalized system which is easily repairable, extremely reliable and of high quality is expected by the rapid growth of the digital economy. Considering reliability, as one of the performance measure, the authors have designed a complex system which consists of three subsystems, namely, A, B and C in series configuration. The subsystem A consists of n numbers of units which are arranged in parallel configuration, subsystem B consists of two sub-subsystems X and Y align parallel to one another, where X is a type of 1-out-of-n:F. Failure and repair rates are assumed to be follow the general distribution. Findings The system is deeply studied by the usage of the supplementary variable technique, Laplace transformation and Markov’s law. Various conclusive results such as availability and reliability of the system, mean time to failure, cost and sensitivity analysis have been discussed further. Originality/value Through the systematic view of reliability measures of the proposed system, performance of the system can be enhanced under high profit.

show abstract

“…Singh and Gulati (2014) assumed that if the repair facility is not available, the system will have to wait for repair until the repair facility is available. Ram and Manglik (2014) studied a complex repairable system having three units in parallel configuration with three types of failures, namely, partial failure, catastrophic failure and human failure. In the case of partial failure, the system waits for repair and when there is no repairman to repair, it goes to the complete failure mode.…”

Section: Nomenclaturementioning

confidence: 99%

Stochastic analysis of two non-identical unit parallel system incorporating waiting time

Chopra

Ram

2017

IJQRM

Self Cite

View full text Add to dashboard Cite

Purpose The purpose of this paper is to evaluate various reliability metrics such as transition state probabilities, availability, reliability, mean time to failure and expected profit of two non-identical unit parallel system incorporating waiting time. Design/methodology/approach The present paper investigates the reliability of two non-identical unit parallel system with two types of failures: common cause failure and partial failure. Moreover, waiting time to repair, a significant aspect of reliability analysis, has also been incorporated. The considered system is assumed to function properly if at least one of the units is in operative mode. The present system is examined by using the supplementary variable technique and Laplace transformation. Findings Numerical calculation shows that the availability and the reliability of the system is minimum when the system is without partial failure and is maximum when the system is free from common cause failure. Finally, the cost analysis of the system reveals that the expected profit decreases with increase in service cost. Originality/value This paper presents a mathematical model of two dissimilar unit parallel system, through which the performance of the considered system can be improved.

show abstract

Stochastic behaviour analysis of a Markov model under multi-state failures

Cited by 17 publications

References 22 publications

Application of the information morphological model for planning of rehabilitation of chemical equipment

Application of the information morphological model for planning of rehabilitation of chemical equipment

Sensitivity analysis of a three-unit series system under k-out-of-n redundancy

Stochastic analysis of two non-identical unit parallel system incorporating waiting time

Contact Info

Product

Resources

About