@incollection{,
	
					
					
					7F0B4CA7E37E019B13373029FF09E62D
				,
	author={{BelalAyyoub} and {Albalqaa applied}},
	journal={{Global Journal of Researches in Engineering}},
	journal={{GJRE}}2249-45960975-586110.34257/gjre,
	address={Cambridge, United States},
	publisher={Global Journals Organisation}142920
}

@book{b0,
	
	
		,
	title={{Multi -state System Reliability: Assessment, optimization an Application}}
		,
	author={{
			AnatolyLisnianski
		}}
		
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	year={2004}
			
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	address={Levitin, Gregory book; USA}
		
	
	,
	note={ISBN 9812383069}

}

@incollection{b1,
	
	
		,
	title={{On the estimation of reliability of a software system using reliabilities of its components}}
		,
	author={{
			SKrishnamurthy
		} and {
			APMathur
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				the ninth international symposium on software reliability engineering (ISSRE"97)NM: Albuquerque
		
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	year={1997}
			146
		
	

}

@incollection{b2,
	
	
		,
	title={{Application of the minimal cut set reliability analysis methodology to the gold book standard network}}
		,
	author={{
			TCoyle
		} and {
			RGArno
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			PSHale
		}}
		
		
	
	
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			,
	year={2002}
			
		
	

}

@incollection{b3,
	
	
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	title={{Null convention logic, a complete and consistent logic for asynchronous digital circuit synthesis}}
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	author={{
			KFant
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			SBrandt
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	booktitle={{Proceedings of the international conference on application specific systems, architectures, and processors (ASAP "96)}}
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	year={1996}
			
		
	

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		,
	title={{A new approach to system reliability}}
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	author={{
			CGopal
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			ANader
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	author={{
			YinongChen
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			Zhongshi
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	title={{Bounds on the Reliability of Systems with Unreliable Nodes & Components}}
				
	

}

@incollection{b6,
	
	
		,
	title={{}}
	
	
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	journal={{IEEE, Trans. on reliability}}
		
			53
			2
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	year={2004 June}
		
	

}

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	title={{An application of reliability engineering in computer networks communication}}
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	author={{
			AyyoubB
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	year={1999}
			17S
		
	
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	note={AAST and MT Thesis}

}

@incollection{b8,
	
	
		,
	title={{A Model for System Reliability Optimization Problems Based on Ant colony Using Index of Criticality Constrain}}
		,
	author={{
			BelalAyyoub
		} and {
			AsimEl-Sheikh
		}}
		
	
	
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	year={june -2009}
		
	

}

@incollection{b9,
	
	
		,
	title={{On Measures of computer systems Reliability and Critical Components}}
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	author={{
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	title={{Some reliability aspects of system design}}
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	title={{Optimal System Design" chapter authored by Dr. Suprasad Amari of Relex Software Corporation in the Springer Handbook of Engineering Statistics}}
		
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	editor={Dr. Hoang Pham}
		
	

}

@incollection{b12,
	
	
		,
	title={{Optimization Techniques for System Reliability with Redundancy -A Review}}
		,
	author={{
			AFrank
		} and {
			Ching-LaiTillman
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			WayHwang
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			Kuo
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	title={{Optimal reliability design: design and applications Way Kuo}}
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	editor={V. Rajendra Prasad, Frank A. Tillman, Ching-Lai Hwang}
		
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	year={June 2000}
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	publisher={Cambridge University Press}
		
	

}

@incollection{b14,
	
	
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	title={{System Reliability Allocation and a Computational Algorithm}}
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	author={{
			DavidEFyffe
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			WilliamWHines
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}

@incollection{b15,
	
	
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	title={{Surrogate Constraints Algorithm for Reliability Optimization Problems with Two Constraints}}
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	author={{
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	year={1981 June}
		
	

}

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	title={{An Efficient Algorithm to Solve Integer-Programming Problems Arising in System-Reliability Design}}
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	author={{
			KrishnaBehari Misra
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}

@incollection{b17,
	
	
		,
	title={{Reliability Optimization by Generalized Lagrangian-Function and Reduced-Gradient Methods}}
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	author={{
			Ching-LaiHwang
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			FrankATillman
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}

@incollection{b18,
	
	
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	title={{Determining Component Reliability and Redundancy for Optimum System Reliability}}
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	author={{
			AFrank
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			Ching-LaiTillman
		} and {
			WayHwang
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			Kuo
		}}
		
		
		
	
	
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			26
			3
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}

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	author={{
			August
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		,
	title={{Reliability Optimization of Series-Parallel Systems Using a Genetic Algorithm}}
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	author={{
			DavidWCoit
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			AliceESmith
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	year={1996 June}
		
	

}

@incollection{b21,
	
	
		,
	title={{Penalty Guided Genetic Search for Reliability Design Optimization}}
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	author={{
			DavidWCoit
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			30
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	year={1996}
		
	

}

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	title={{Adaptive Penalty Methods for Genetic Optimization of Constrained Combinatorial Problems}}
		,
	author={{
			DavidWCoit
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			DavidMTate
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			8
			2
			
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	year={1996}
		
	

}

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	title={{Genetic Algorithms in Optimization of System Reliability}}
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			JamesCampbell
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	title={{Reliability allocation problem in a series-parallel system}}
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	author={{
			AYalaoui
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			90
			
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	year={2005}
		
	

}

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	title={{Penalty function approach in heuristic algorithms for constrained}}
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	title={{Redundancy allocation for series-parallel systems using a max-min approach}}
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	author={{
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			AKonak
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}

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	title={{A linear approximation for redundant reliability problems with multiple component choices}}
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}

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	title={{Reliability redundancy allocation: an improved realization for nonconvex nonlinear programming problems}}
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			171
			
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}

@incollection{b30,
	
	
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	title={{An annotated overview of system reliability optimization}}
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	author={{
			WKuo
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			49
			
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}

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	title={{Optimal reliability design: fundamentals and applications}}
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	author={{
			WKuo
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			VRPrasad
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			FATilman
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	year={2001}
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	publisher={Cambridge Univeristy Press}
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	address={UK}
		
	

}

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	title={{On the computational complexity of reliability redundancy allocation in a series system}}
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@incollection{b33,
	
	
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	title={{Reliability optimization of seriesparallel systems using a genetic algorithm}}
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	author={{
			DWCoit
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			AESmith
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	journal={{IEEE Trans Reliab}}
		
			45
			2
			
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	year={1996}
		
	

}

@incollection{b34,
	
	
		,
	title={{Penalty guided genetic search for reliability design optimization}}
		,
	author={{
			DWCoit
		} and {
			AESmith
		}}
		
	
	
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	journal={{Comput Ind Eng}}
		
			30
			4
			
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	year={1996}
		
	

}

@incollection{b35,
	
	
		,
	title={{Genetic algorithm for nonlinear mixed integer programming problems and its applications}}
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	author={{
			TYokota
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			GenMLi
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			Y-X
		}}
		
		
	
	
		,
	journal={{Comput Ind Eng}}
		
			30
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	year={1996}
		
	

}

@incollection{b36,
	
	
		,
	title={{An ant colony optimization algorithm for the redundancy allocation problem (RAP)}}
		,
	author={{
			Y-HLiang
		} and {
			AESmith
		}}
		
	
	
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			53
			3
			
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	year={2004}
		
	

}

@incollection{b37,
	
	
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	title={{Ant system for reliability optimization of a series system with multiple-choice and budget constraints}}
		,
	author={{
			NNahas
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	journal={{Reliab Eng Syst Saf}}
		
			87
			
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	year={2005}
		
	

}

@incollection{b38,
	
	
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	title={{Optimal series-parallel topology of multistate system withtwo failure modes}}
		,
	author={{
			GLevitin
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			77
			
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	year={2002}
		
	

}

@incollection{b39,
	
	
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	title={{Optimal multilevel protection in seriesparallel systems}}
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	author={{
			GLevitin
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			81
			
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	year={2003}
		
	

}

@incollection{b40,
	
	
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	title={{Performance utility analysis of multi-state systems}}
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	author={{
			SWu
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	title={{Redundancy optimization for seriesparallel multistate system}}
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	author={{
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	title={{Power system structure optimization subject to reliability constraints}}
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	author={{
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	title={{Ant colony optimization for new redesign problem of multi-state electrical power systems}}
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	title={{Optimal standby problems and a universal generating function}}
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	title={{Optimal Reliability Design: Fundamentals and Applications}}
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	author={{
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			GLevitin
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	title={{Genetic algorithms in optimization of system reliability}}
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	author={{
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@book{b66,
	
	
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	title={{Reliability function of a class of timedependent systems with standby redundancy}}
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	author={{
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			HKatagiri
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}

@incollection{b67,
	
	
		,
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