11606

10655

كارشناسي ارشد

آمار

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1395

نه،[78]ص.: مصور

ص.ع.به فارسي و انگليسي

ساره گلي

زهرا صابري

افشين پرورده، صفيه محمودي

1395/08/03

رياضي

ID10655

Reliability Theory And Its Application On Coherent Systems Kinan Hamdan k hamdan@math iut ac ir 2016 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Sarah Goli s goli@cc iut ac ir Advisor Dr Zahra Sabiri z saberi@cc iut ac ir 2010 MSC 60E15 60K10 Keywords Reliability theory Coherent systems Signature Mean residual lifetime In activity lifetime stochastic orders Abstract Coherent systems play a key role in the studies of reliability of technical systems in reliabilityengineering A system is said to be a coherent system if it does not have any irrelevantcomponent a component is said to be irrelevant if its performance does not e ect on theperformance of the system and the system is not decreasing in each vector argument Inother words a system is coherent when each of its working components is bene cial to thesystem Signature witch introduced by Samaniego is a very usful concept to study lifetimedistributions One can write the lifetime distribution function of a coherent system as amixture of the distribution functions of the ordered lifetimes of its component In the Capter 2 we introduce some important de nitions like Reliability function Failure ratefunction Reversed failure rate function Mean residual lifetime function Inactivity lifetimeand some classes of the lifetime distributions life IFR DFR IRFR and ILR were also de ned If the random variable X denotes the lifetime X 0 with probability one of a system or a

ساره گلي

زهرا صابري

افشين پرورده، صفيه محمودي