Reliability evaluation of repairable weighted system using interval valued universal generating function

2020 ◽  
Vol 37 (6/7) ◽  
pp. 957-981
Author(s):  
Soni Bisht ◽  
S. B. Singh ◽  
Renu Tamta
Keyword(s):  
Markov Process ◽  
Generating Function ◽  
Design Methodology ◽  
Reliability Evaluation ◽  
Content Type ◽  
Reliability Indices ◽  
System Parameters ◽  
Reliability Characteristics ◽  
Interval Valued ◽  
Universal Generating Function

PurposeTo find the reliability characteristics of repairable weighted (u, v)- out-of-(x, y) system using the interval valued universal generating function (IUGF).Design/methodology/approachIn this paper (u, v)-out-of-(x, y) system is an extension of the k-out-of-n system. Here, the interval valued universal generating function (UGF) is present and the corresponding operators are defined.FindingsThe present paper proposes a interval valued universal generating function (IUGF) to compute the reliability indices of the considered system. The current study investigates the reliability and sensitivity of the proposed system with respect to system parameters by applying Markov process with the help of the interval valued UGF approach.Originality/valueIn this work, the considered system, i.e. repairable weighted (u, v)-of-the- (x, y) is the extension of k-out-of-n system for the assessment of reliability characteristics using the interval valued UGF.

Signature reliability of binary state node in complex bridge networks using universal generating function

2019 ◽  
Vol 36 (2) ◽  
pp. 186-201 ◽  
Author(s):  
Soni Bisht ◽  
S.B. Singh
Keyword(s):  
Generating Function ◽  
Time To Failure ◽  
Content Type ◽  
Reliability Indices ◽  
The Past ◽  
Reliability Characteristics ◽  
Binary State ◽  
Bridge Networks ◽  
Mean Time ◽  
Universal Generating Function

PurposeThe purpose of this paper is to evaluate various reliability measures like reliability, expected lifetime (mean time to failure), signature reliability and compare networks based on the different flows.Design/methodology/approachThe reliability characteristics of complex bridge networks have been evaluated using different algorithms with the help of universal generating function (UGF). Further, the signature reliability of the considered networks has been determined using Owen’s method.FindingsThe present paper proposes an efficient algorithm to compute the reliability indices of complex bridge networks having i.i.d. lifetime components (nodes, edges) with the help of UGF and Owen’s method. This study reveals that a slight change in the complex bridge network affects the reliability significantly. Finally, by the reliability structure function, proposed algorithms are used to find the signature and MTTF. From signature, we have determined the different failure probabilities corresponding to edges of the network.Originality/valueIn this work, we have evaluated reliability characteristics and signature reliability of the complex bridge networks using UGF method and Owen’s method respectively unlike done in the past.

Computations of the signature reliability of the coherent system

2017 ◽  
Vol 34 (6) ◽  
pp. 785-797 ◽  
Author(s):  
Akshay Kumar ◽  
S.B. Singh
Keyword(s):  
Generating Function ◽  
Design Methodology ◽  
Mathematical Structure ◽  
Function Technique ◽  
Coherent System ◽  
Coherent Systems ◽  
Expected Cost ◽  
Content Type ◽  
In Series ◽  
Universal Generating Function

Purpose The purpose of this paper is to compute the signature reliability of the coherent systems. Design/methodology/approach The considered k-out-of-n coherent system consists of n number of elements connected in series. With the help of these systems, the authors have evaluated a mathematical structure using universal generating function. Findings Using the universal generating function technique, the authors evaluate tail signature, Barlow-Proschan index, expected lifetime and expected cost. Originality/value In this paper, the authors have developed a coherent systems based on the universal generating function technique.

Discrete Interval-Valued Stress-Strength Interference Model Based on the Extended Universal Generating Function

2012 ◽  
Vol 246-247 ◽  
pp. 441-445 ◽  
Author(s):  
Hui Xin Guo ◽  
Xiao Bin Pang ◽  
Xin Fa Yang ◽  
Li Zhi Cheng
Keyword(s):  
Experimental Data ◽  
Generating Function ◽  
Random Variable ◽  
Reliability Estimation ◽  
Interference Model ◽  
Upper And Lower Bounds ◽  
Machine Component ◽  
Discrete Interval ◽  
Interval Valued ◽  
Universal Generating Function

A new approach was proposed to estimate the reliability of a machine component when the probability density functions of stress and strength can not be exactly determined or only finite experiment data of stress and strength are available. The conventional universal generating function was introduced and then it was extended to represent the discrete interval-valued random variable. The experimental data of stress and strength were formulated as two discrete interval-valued random variables. Based on the extended universal generating function, a discrete interval-valued stress-strength interference model was proposed. An approach was proposed to solve the proposed stress-strength interference model and it can be used to calculate the upper and lower bounds of the component reliability. An example was given to demonstrate the proposed approach. It is showed that the proposed approach is suitable to the reliability estimation of a machine component when only finite experimental data of stress and strength can be obtained.

Cold standby renewal process integrated with environmental factor effects for reliability evaluation of multiple autonomous robot system

2018 ◽  
Vol 35 (10) ◽  
pp. 2450-2464 ◽  
Author(s):  
Hamed Fazlollahtabar ◽  
Seyed Taghi Akhavan Niaki
Keyword(s):  
Failure Rate ◽  
Renewal Process ◽  
Production System ◽  
Autonomous Robots ◽  
Reliability Evaluation ◽  
Estimation Methods ◽  
Content Type ◽  
Reliability Characteristics ◽  
Cold Standby ◽  
Advanced Production

Purpose The purpose of this paper is to estimate the required number of robots consisting of some non-repairable components, by employing a renewal model. Considering the importance of the availability of standby autonomous robots for reducing and preventing down-times of advanced production systems, which imposes a considerable loss, the present research tries to introduce a practical model for the determination of the required number of autonomous robots. Design/methodology/approach Most of the available research on the estimation of the required standby components based on the reliability characteristics of components has not considered the environmental factors influencing the reliability characteristics. Therefore, such estimations are not accurate enough. In contrast, this paper focuses on the influence of the environmental and human factors (e.g. the operators’ skill) on the robot reliability characteristics. Findings A model based on the Weibull renewal process combined with the cold standby strategy is developed for reliability evaluation of the system. The effectiveness of the proposed integrated reliability evaluation model is worked out in some cases. Originality/value Determining a required number of robots is an important issue in availability and utilization of a complex robotic production system. In an advanced production system, while the estimation process of a required number of robots can be performed through different approaches, one of the realistic estimation methods is based on the system’s reliability that takes into consideration the system operating environment. To forecast the required number of robots for an existing production system, in some cases, the assumption of a constant failure rate does not differ much from the assumption of a non-constant failure rate and can be made with an acceptable error.

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