Stochastic Analysis of a Standby System With Waiting Repair Strategy

Ram, Mangey; Singh, Sukhwinder; Singh, V. V.

doi:10.1109/tsmca.2012.2217320

Cited by 92 publications

(34 citation statements)

References 42 publications

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“…Dhillon and Yang [3] focused on the human-machine system and proposed a method of calculating the availability for situations with critical and non-critical human errors. Ram et al [4] investigated a standby system with human operators through stochastic analysis. Longo et al [5] promoted the safety assurance responsibilities of human-machine interaction to reinforce the capabilities and competencies of Industry 4.0 operators.…”

Section: Literature Reviewmentioning

confidence: 99%

Human-Machine Interaction: Adapted Safety Assistance in Mentality Using Hidden Markov Chain and Petri Net

Chen¹,

Liu

Chen³

2019

Applied Sciences

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This study proposes a cognition-adaptive approach for the administrative control of human-machine safety interaction through Internet of Things (IoT) data. As part of Industry 4.0, a human operator possesses various characteristics, but cannot be consistently understood as well as a machine. Thus, human-machine interaction plays an important role. This study focuses on incumbent challenges on the basis of estimated mental states. Given the operation logs from data recording hardware, a Hidden Markov model on top of a human cognitive model was trained to capture a production line worker’s sequential faults. Our study found that retaining workers’ attention is insufficient and tracking the state of perception is key to accomplishing production tasks. A safe workflow policy requires attention and perception. Accordingly, our proposed Petri Net enhances operation safety and improves production efficiency.

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Section: Literature Reviewmentioning

confidence: 99%

Human-Machine Interaction: Adapted Safety Assistance in Mentality Using Hidden Markov Chain and Petri Net

Chen¹,

Liu

Chen³

2019

Applied Sciences

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“…After repairing, the system comes back in good state. A failed state could be repaired with the help of Gumbel-Hougaard family copula Singh 2008, 2010;Ram 2010;Ram et al 2013). The configuration and state transition diagram of the designed system have been shown in Fig.…”

Section: System Descriptionmentioning

confidence: 99%

Numerical Methods for Reliability and Safety Assessment

Kadry¹,

Hami²

2015

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“…Among them we can highlight the supplementary variable technique, introduced in 1955 by Cox [1], due to the fact that this technique outperforms imbedded Markov chains in the steady-state case. The supplementary variable technique was firstly applied in Gaver [2]; subsequently, other authors, such as Linton [3], Goel et al [4], Gupta and Sharma [5], Shi and Li [6], Chung [7], Yuan [8], Dhillon and Cheng [9], Ram et al [10], Zhang and Wang [11], Ke et al [12], followed this line of research.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of a complex system under preemptive repeat repair discipline

Kasim

Gupur

2020

Bound Value Probl

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This paper considers a two-unit complex system, in which one of the components has priority with preemptive repeat repair disciplines, described by partial differential equations with integral boundary conditions. First, we prove that the system has a unique nonnegative time-dependent solution by using the strong continuous semigroup theory of linear operators. Then, we obtain the exponential convergence of the time-dependent solution to its steady-state solution by means of the spectral properties of the corresponding operator. We also provide the asymptotic behavior of some time-dependent reliability indices, a numerical illustration showing the effects of various parameters on the system, and the validity of the theoretical analysis.

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Stochastic Analysis of a Standby System With Waiting Repair Strategy

Cited by 92 publications

References 42 publications

Human-Machine Interaction: Adapted Safety Assistance in Mentality Using Hidden Markov Chain and Petri Net

Human-Machine Interaction: Adapted Safety Assistance in Mentality Using Hidden Markov Chain and Petri Net

Numerical Methods for Reliability and Safety Assessment

Dynamic analysis of a complex system under preemptive repeat repair discipline

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