Probabilistic behavior and reliability analysis for a multi-robot system by applying Petri net and Markov renewal process theory

Jin, Qun; Sugasawa, Yoshio; Seya, Koichiro

doi:10.1016/0026-2714(89)90024-3

Cited by 11 publications

(5 citation statements)

References 2 publications

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“…Renewal theory has been widely applied to the dependability context. Some references for the application of Markov renewal theory in the solution of performance and reliability/availability models can be found in …”

Section: Related Workmentioning

confidence: 99%

“…Some references for the application of Markov renewal theory in the solution of performance and reliability/availability models can be found in. 25,27,30,[35][36][37][38]40,[58][59][60] One of the most successful state-space models adopted in reliability and availability evaluations of non-Markovian systems is SMP. A good reference on the topic is.…”

Section: Related Workmentioning

confidence: 99%

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Non‐Markovian State‐Space Models in Dependability Evaluation

Distefano

Trivedi

2012

Quality & Reliability Eng

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The purpose of this paper is to provide an up‐to‐date treatment of advanced analytic, state‐space based techniques to study dependability models with non‐exponential distributions. We first provide an overview of different techniques for the solution of non‐Markovian state‐space based models, including phase‐type expansion and a general framework which allows us to deal with renewal, semi‐Markov, and Markov‐regenerative processes, trying to characterize them on dependability contexts. In the last part of the paper, we illustrate these techniques by means of some examples dealing with common non‐exponential reliability behaviors. Our aim is to provide a reference for practising engineers, researchers, and students in state‐space dependability modeling and evaluation. Copyright © 2012 John Wiley & Sons, Ltd.

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Section: Related Workmentioning

confidence: 99%

Section: Related Workmentioning

confidence: 99%

Non‐Markovian State‐Space Models in Dependability Evaluation

Distefano

Trivedi

2012

Quality & Reliability Eng

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“…Most of the available techniques for estimating robot reliability are based on Markov process (MP), fault tree analysis (FTA), event tree (ET), reliability block diagram (RBD), Petrinets (PN), failure mode and effect analysis (FMEA) etc. (Jin et al, 1989;Khodabandehloo, 1996;Walker and Cavallaro, 1996;Leuschen et al, 2001;McIntyre et al, 2005;Savsar and Aldaihani, 2008;Korayem and Iravani, 2008). In this paper, FTA has been selected to analyze the reliability of a robotic system because FTA is a systematic method for obtaining system reliability from both qualitative and quantitative perspectives (Ebeling, 2001;Lee et al, 1985).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy fault tree analysis for controlling robot-related accidents involving humans in industrial plants: a case study

Komal

2020

IJQRM

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PurposeIn recent years, the application of robots in different industrial sectors such as nuclear power generation, construction, automobile, firefighting and medicine, etc. is increasing day by day. In large industrial plants generally humans and robots work together to accomplish several tasks and lead to the problem of safety and reliability because any malfunction event of robots may cause human injury or even death. To access the reliability of a robot, sufficient amount of failure data is required which is sometimes very difficult to collect due to rare events of any robot failures. Also, different types of their failure pattern increase the difficulty which finally leads to the problem of uncertainty. To overcome these difficulties, this paper presents a case study by assessing fuzzy fault tree analysis (FFTA) to control robot-related accidents to provide safe working environment to human beings in any industrial plant.Design/methodology/approachPresented FFTA method uses different fuzzy membership functions to quantify different uncertainty factors and applies alpha-cut coupled weakest t-norm (Tω) based approximate fuzzy arithmetic operations to obtain fuzzy failure probability of robot-human interaction fault event which is the main contribution of the paper.FindingsThe result obtained from presented FFTA method is compared with other listing approaches. Critical basic events are also ranked using V-index for making suitable action plan to control robot-related accidents. Study indicates that the presented FFTA is a good alternative method to analyze fault in robot-human interaction for providing safe working environment in an industrial plant.Originality/valueExisting fuzzy reliability assessment techniques designed for robots mainly use triangular fuzzy numbers (TFNs), triangle vague sets (TVS) or triangle intuitionistic fuzzy sets (IFS) to quantify data uncertainty. Present study overcomes this shortcoming and generalizes the idea of fuzzy reliability assessment for robots by adopting different IFS to control robot-related accidents to provide safe working environment to human. This is the main contribution of the paper.

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“…Finally we mention the approach of Jin et al (Jin et al, 1989) which is between the performance and functional approaches outline above. In (Jin et al, 1989) a higher level model is developed with the objective of investigating the impact of errors in a robot, especially when it is placed in a wider environment.…”

Section: Comparison With Other Approachesmentioning

confidence: 99%

“…In (Jin et al, 1989) a higher level model is developed with the objective of investigating the impact of errors in a robot, especially when it is placed in a wider environment. Again a Petri net is used to represent the behaviour of the system.…”

Section: Comparison With Other Approachesmentioning

confidence: 99%

Specifications in stochastic process algebra for a robot control problem

Gilmore¹,

Hillston²,

Holton³

et al. 1996

International Journal of Production Research

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We present a novel approach to specification of dynamic systems. This approach, a stochastic extension of process algebra, facilitates quantitative, or performance, analysis, in addition to qualitative analysis. For unreliable systems this integrated approach encourages the investigation of the impact of functional characteristics on the performance of the system. Throughout the paper details of the stochastic process algebra are made concrete via an example: a robot control problem.Two specifications are presented of this problem. The first, an idealisation, does not represent the possibility of failures. The second models both failures and recoveries. Each is solved to obtain performance measures for the system.

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Probabilistic behavior and reliability analysis for a multi-robot system by applying Petri net and Markov renewal process theory

Cited by 11 publications

References 2 publications

Non‐Markovian State‐Space Models in Dependability Evaluation

Non‐Markovian State‐Space Models in Dependability Evaluation

Fuzzy fault tree analysis for controlling robot-related accidents involving humans in industrial plants: a case study

Specifications in stochastic process algebra for a robot control problem

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