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.

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.

scholarly journals Reliability Evaluation of Repairable Parallel-Series Multi-State System Implementing Interval Valued Universal Generating Function

2021 ◽  
Author(s):  
Renu ◽  
Soni Bisht ◽  
S.B. Singh
Keyword(s):  
Generating Function ◽  
Composition Operators ◽  
State System ◽  
Time To Failure ◽  
Transform Method ◽  
Reliability Sensitivity ◽  
In Series ◽  
Mean Time ◽  
Parallel Series ◽  
Universal Generating Function

In this paper, we have studied a repairable parallel-series multi-state system. The proposed system consists of m components in series and n components in parallel in which each component has three possible states. The interval universal generating function (IUGF) is presented, and the corresponding composition operators are defined. The reliability assessment of the considered system is done with the help of the IUGF approach. It is worth mentioning that IUGF got attention from various researchers due to its straightforwardness, less complexity, and universal applications. In the present model, probabilities of different components, reliability, sensitivity, and mean time to failure are evaluated with the help of the Markov process; Laplace-Steiltjes transform method applying IUGF. A numerical example has also been taken to illustrate the proposed technique.

scholarly journals Researching ecosystems in innovation contexts

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Erkko Autio ◽  
Llewellyn D.W. Thomas
Keyword(s):  
Design Methodology ◽  
Integrated Approach ◽  
System Level ◽  
Coherent System ◽  
Innovation Ecosystem ◽  
Comprehensive Overview ◽  
Content Type ◽  
Extant Literature ◽  
Innovation Ecosystems ◽  
Collective Production

PurposeThe rapid adoption of the ecosystem concept in innovation contexts has led to a proliferation of differing uses. Scholars need to be crystal clear which concept of the ecosystem they are using to facilitate communication between scholars and allow for cumulativeness and creativity. This paper aims to introduce some clarity into the conceptual mist that surrounds the notion of “ecosystems” in innovation contexts.Design/methodology/approachA review of the extant literature on ecosystems in innovation contexts to derive an integrated approach to understanding the variety of constructs in use.FindingsThis paper introduces clarity into the conceptual mist that surrounds the term “innovation ecosystem”, showing there are three basic types of ecosystems, all of which have a common focus on the collective production of a coherent system-level output.Originality/valueContributes through a comprehensive overview of the differing ecosystem types in innovation contexts and with a heuristic to disambiguate types of innovation ecosystems.

Development of an optimization model to determine sampling levels

2016 ◽  
Vol 33 (4) ◽  
pp. 476-487 ◽  
Author(s):  
Elizabeth A. Cudney ◽  
Ruwen Qin ◽  
Zlatan Hamzic
Keyword(s):  
Supply Chain ◽  
Design Methodology ◽  
Optimal Solution ◽  
Real World Data ◽  
Expected Cost ◽  
Content Type ◽  
Sampling Inspection ◽  
Component Systems ◽  
Quality Product

Purpose – As the complexity of the multi-component products increases the quality of these products becomes increasingly difficult to control throughout the supply chain. The first step to manufacturing a quality product is to ensure that the product components from suppliers meet specifications. Product quality can be controlled through sampling inspection of the components. The paper aims to discuss these issues. Design/methodology/approach – The model presented in this paper was developed to determine the optimal sampling levels for incoming lots containing parts for production and assembly of multi-component systems. The main objective of the model is to minimize the expected cost that is associated with a nonconforming item reaching assembly. Findings – In this research, the results showed that even with limited time available for inspection, performing sampling inspection significantly reduced the expected cost of a nonconforming item reaching assembly. The model, solved by the evolutionary algorithm, was able to provide a meaningful, near optimal solution to the problem. Originality/value – In this model the time available for inspection is limited, the distribution of defects is assumed to follow the binomial distribution, and the distribution of accepting the lot with defects follows the hypergeometric distribution. In addition, the inspection is considered to be accurate and, if a nonconforming item is found in the inspected sample, the entire lot is rejected. An example is given with real world data and the results are discussed as they relate to supply chain management and quality.

Analysis of electrical circuits supplied by sequence of impulses

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zhivko Georgiev ◽  
Ivan Trushev
Keyword(s):  
Fourier Series ◽  
Steady State ◽  
Design Methodology ◽  
Analytical Formula ◽  
Main Approach ◽  
Electrical Circuits ◽  
Content Type ◽  
Capacitor Voltage ◽  
In Series ◽  
Transient And Steady State

Purpose This paper aims to analyze transient and steady state processes in series resistive capacitive-circuits when the supplied voltage is a sequence of periodic rectangular pulses. The purpose is to obtain an analytical formula for the capacitor voltage at any instant of time, both for the transient and the steady-state processes. Design/methodology/approach The main approach is to use a combination of differential and recurrence equations. Findings An analytical expression (formula) for obtaining the capacitor voltage at any instant of time has been found. Originality/value The results obtained are new. They are much more convenient to use than the results obtained by the Fourier series. The exposed approach can also be used in other circuits and other forms of the supplied voltage.

scholarly journals Signature of A-Within-B-From-D/G Sliding Window System

2019 ◽  
Vol 4 (1) ◽  
pp. 95-107 ◽  
Author(s):  
Akshay Kumar ◽  
S. B. Singh
Keyword(s):  
Generating Function ◽  
Sliding Window ◽  
Expected Value ◽  
Coherent System ◽  
Multiple Failures ◽  
System Sensitivity ◽  
Window System ◽  
Universal Generating Function

In this study, we have proposed a model of the sliding window coherent system in case of multiple failures. The considered model consists of G linearly required multi-state elements and G number of parallel elements in A-within-B-from-D/G for each multi-state. The system fails if at least A group elements out of B consecutive of D consecutive multi-state elements have performance lower than the weight w. We have evaluated the signature reliability, expected value and system sensitivity on the basis of the extended universal generating function of the considered system.

Signature reliability of linear multi-state sliding window system

2018 ◽  
Vol 35 (10) ◽  
pp. 2403-2413 ◽  
Author(s):  
Akshay Kumar ◽  
S.B. Singh
Keyword(s):  
Cost Analysis ◽  
Design Methodology ◽  
Lifetime Cost ◽  
Sliding Window ◽  
Coherent System ◽  
Content Type ◽  
Window System ◽  
Performance Rate ◽  
The Given ◽  
State Case

Purpose The purpose of this paper is to deal with a linear multi-state sliding window coherent system which generalizes the consecutive k-out-of-r-from-n:F system in the multi-state case. The system has n linearly ordered multi-state elements consisting of m parallel independent and identically distributed elements. Every element of the system can have two states: completely working or totally failed. The system fails if the sum of performance rate is lower than the given weight. Design/methodology/approach The authors proposed to compute the signature, MTTF and Barlow–Proschan index with the help of UGF technique of multi-state SWS which consists of m parallel i.i.d. components in each multi-state window. Findings In the present study, the authors have evaluated the signature reliability, expected lifetime, cost analysis and Barlow–Proschan index. Originality/value In this study, the authors have studied a linear multi-state sliding window system which consists of n ordered multi-state element, and each multi-state element also consists of m parallel windows. The focus of the present paper is to evaluate reliability metrices of the considered system with the help of signature from using the universal generating function.

Sign in / Sign up

Export Citation Format

Share Document