Erlang Strength Model for Exponential Effects

All technical systems have been designed to perform their intended tasks in a specific ambient. Some systems can perform their tasks in a variety of distinctive levels. A system that can have a finite number of performance rates is called a multi-state system. Generally multi-state system is consist...

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Main Authors: Gökdere Gökhan, Gürcan Mehmet
Format: Article
Language:English
Published: De Gruyter 2015-12-01
Series:Open Physics
Subjects:
Online Access:http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0057/phys-2015-0057.xml?format=INT
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author Gökdere Gökhan
Gürcan Mehmet
author_facet Gökdere Gökhan
Gürcan Mehmet
author_sort Gökdere Gökhan
collection DOAJ
description All technical systems have been designed to perform their intended tasks in a specific ambient. Some systems can perform their tasks in a variety of distinctive levels. A system that can have a finite number of performance rates is called a multi-state system. Generally multi-state system is consisted of components that they also can be multi-state. The performance rates of components constituting a system can also vary as a result of their deterioration or in consequence of variable environmental conditions. Components failures can lead to the degradation of the entire multi-state system performance. The performance rates of the components can range from perfect functioning up to complete failure. The quality of the system is completely determined by components. In this article, a possible state for the single component system, where component is subject to two stresses, is considered under stress-strength model which makes the component multi-state. The probabilities of component are studied when strength of the component is Erlang random variables and the stresses are independent exponential random variables. Also, the probabilities of component are considered when the stresses are dependent exponential random variables.
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spelling doaj.art-015652a9a5724a9084c95bff37883f232022-12-22T02:35:07ZengDe GruyterOpen Physics2391-54712015-12-0113110.1515/phys-2015-0057phys-2015-0057Erlang Strength Model for Exponential EffectsGökdere Gökhan0Gürcan Mehmet1Department of Statistics, Fırat University, 23119, Elazığ, TurkeyDepartment of Statistics, Fırat University, 23119, Elazığ, TurkeyAll technical systems have been designed to perform their intended tasks in a specific ambient. Some systems can perform their tasks in a variety of distinctive levels. A system that can have a finite number of performance rates is called a multi-state system. Generally multi-state system is consisted of components that they also can be multi-state. The performance rates of components constituting a system can also vary as a result of their deterioration or in consequence of variable environmental conditions. Components failures can lead to the degradation of the entire multi-state system performance. The performance rates of the components can range from perfect functioning up to complete failure. The quality of the system is completely determined by components. In this article, a possible state for the single component system, where component is subject to two stresses, is considered under stress-strength model which makes the component multi-state. The probabilities of component are studied when strength of the component is Erlang random variables and the stresses are independent exponential random variables. Also, the probabilities of component are considered when the stresses are dependent exponential random variables.http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0057/phys-2015-0057.xml?format=INTReliability Stress-Strength Model Multi-State System Erlang Distribution Exponential Distribution
spellingShingle Gökdere Gökhan
Gürcan Mehmet
Erlang Strength Model for Exponential Effects
Open Physics
Reliability
Stress-Strength Model
Multi-State System
Erlang Distribution
Exponential Distribution
title Erlang Strength Model for Exponential Effects
title_full Erlang Strength Model for Exponential Effects
title_fullStr Erlang Strength Model for Exponential Effects
title_full_unstemmed Erlang Strength Model for Exponential Effects
title_short Erlang Strength Model for Exponential Effects
title_sort erlang strength model for exponential effects
topic Reliability
Stress-Strength Model
Multi-State System
Erlang Distribution
Exponential Distribution
url http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0057/phys-2015-0057.xml?format=INT
work_keys_str_mv AT gokderegokhan erlangstrengthmodelforexponentialeffects
AT gurcanmehmet erlangstrengthmodelforexponentialeffects