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mfl_kap44 - Zuverlssigkeit Z u v e r l s s ig k e it V e r...

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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Zuverlässigkeit m f l 4 0 3 7 Z u v e r l ä s s i g k e i t , V e r f ü g b a r k e i t M a ß f ü r d i e F u n k t i o n s s i c h e r h e i t e i n e s S y s t e m e l e m e n t s e i n e r L e i s t u n g s k e t t e e i n e s S y s t e m s U n z u v e r l ä s s i g k e i t = 1 - η η u n z z u v Z u v e r l ä s s i g k e i t η z u v M a ß f ü r d i e W a h r s c h e i n l i c h k e i t , d a s s e i n e b e t r a c h t e t e F u n k t i o n s t ö r u n g s f r e i u n d k o r r e k t a u s g e f ü h r t w i r d m i t n - A n z a h l k o r r e k t e r F u n k t i o n s e r f ü l l u n g e n n - A n z a h l S t ö r u n g e n r f f r r z u v n n n + = η
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Verfügbarkeit D i e V e r f ü g b a r k e i t i s t e i n M a ß f ü r d i e W a h r s c h e i n l i c h k e i t , e i n E l e m e n t o d e r e i n S y s t e m z u e i n e m v o r g e g e b e n e n Z e i t p u n k t i n e i n e m s t ö r u n g s f r e i e n Z u s t a n d a n z u t r e f f e n η v e r m f l 4 0 3 8 V e r f ü g b a r k e i t η v e r D u r c h r e i n f o r m e l l e U m w a n d l u n g e r g i b t s i c h : D i e V e r f ü g b a r k e i t k a n n a u c h w i e f o l g t e r m i t t e l t w e r d e n : V e r f ü g b a r k e i t : E A E v e r T T T - = η m i t T E - E i n s a t z z e i t ( S u m m e a u s B e r e i t s c h a f t s - u n d B e t r i e b s z e i t ) T A - A u s f a l l z e i t ( S u m m e a l l e r A u s f a l l z e i t e n ) m i t M T B F - M i t t l e r e s t ö r u n g s f r e i e Z e i t ( m e a n t i m e b e t w e e n f a i l u r e s ) M T T R - M i t t l e r e R e p a r a t u r d a u e r ( m e a n t i m e t o r e p a i r ) M T T R M T B F M T B F v e r + = η M i t t l e r e R e p a r a t u r d a u e r M i t t l e r e s t ö r u n g s f r e i e Z e i t r A E n T T M T B F - = f A n T M T T R = D a r s t e l l u n g ü b e r Z u v e r l ä s s i g k e i t = 1 - ( 1 - ) η η τ λ v e r z u v f M i t t l e r e S t r o m b e l a s t u n g : m i t Z u v e r l ä s s i g k e i t m i t t l e r e A u s f a l l z e i t = M T T R m i t t l e r e S t r o m b e l a s t u n g η τ λ z u v f S u m m e k o r r e k t e r u n d g e s t ö r t e r T r a n s p o r t e g e t e i l t d u r c h d i e B e t r i e b s z e i t E r f E T n n T n + = = λ E A E f z u v v e r T T T = λ τ η - - = η 1 1
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Abhängigkeit zwischen Verfügbarkeit und Zuverlässigkeit m i t Z u v e r l ä s s i g k e i t m i t t l e r e A u s f a l l z e i t = M T T R S t r o m b e l a s t u n g η τ λ z u v f A b h ä n g i g k e i t d e r V e r f ü g b a r k e i t e i n e s S y s t e m e l e m e n t s v o n d e r Z u v e r l ä s s i g k e i t = 1 - ( 1 - ) η η τ λ v e r
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