mfl_kap43 - Beispiele fr Wartesysteme M e n s a S p e is e...

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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Beispiele für Wartesysteme m f l 4 0 1 9 M e n s a ( S p e i s e n a u s g a b e , T a b l e t t r ü c k g a b e ) B a n k s c h a l t e r A m p e l / S t r a s s e n v e r k e h r A u f z ü g e M a t e r i a l f l u s s s y s t e m e
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Warteschlangensysteme m f l 4 0 2 0 W a r t e n 7 5 % L a g e r n 5 % B e a r b e i t u n g 1 0 % R e s o u r c e n 5 % P r ü f u n g 3 % T r a n s p o r t 2 % Q u e l l e : V D I - F M L E n t s t e h u n g v o n W a r t e z e i t e n A u s g l e i c h v o n P r o d u k t i o n s - o d e r N a c h f r a g e s c h w a n k u n g e n ( L a g e r h a l t u n g ) p r o z e s s b e d i n g t e r Z e i t b e d a r f z w i s c h e n P r o d u k t i o n s s c h r i t t e n ( z . B . K ü h l u n g , T r o c k n u n g . . . ) a b l a u f b e d i n g t e V e r ä n d e r u n g e n d e s D u r c h s a t z e s ( z . B . Ü b e r p r ü f u n g , N a c h a r b e i t . . . ) s t ö r u n g s b e d i n g t e r S t a u v o r B e t r i e b s m i t t e l n Ä n d e r u n g d e r R e i h e n f o l g e i m M a t e r i a l f l u s s ( z . B . d u r c h S o r t i e r e n , K o m m i s s i o n i e r e n . . . ) Q u e l l e : A r n o l d
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Anforderungen an die Planung m f l 4 0 2 1 S c h n e l l e A b f e r t i g u n g D i m e n s i o n i e r u n g d e r W a r t e r ä u m e e r f o r d e r l i c h ( P u f f e r / L a g e r ) A b e r : S t ö r u n g s b e d i n g t e W a r t e z e i t e n n i e a u s s c h l i e ß b a r A b e r : V a r i a n t e n m i x W a r t e r ä u m e m ü s s e n v o r g e s e h e n w e r d e n ( R ü c k s t a u v e r m e i d e n ) G e w ä h r l e i s t u n g d e s D u r c h s a t z e s t r o t z l o k a l e r S t ö r u n g e n S y n c h r o n i s a t i o n k a u m m ö g l i c h W a r t e z e i t B e s t ä n d e K a p i t a l k o s t e n
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Wartesystem Modelle m f l 4 0 2 2 S Q F E a b W B N N A n k u n f t s - p r o z e s s A ( t ) W a r t e - p r o z e s s W ( t ) B e d i e n - p r o z e s s B ( t ) s w Z u f ä l l i g s t r e u e n d e Z w i s c h e n a n k u n f t s z e i t e n t a E r w a r t u n g s w e r t E ( t ) a A n k u n f t s r a t e = λ 1 E ( t ) a Z u f ä l l i g s t r e u e n d e B e d i e n z e i t e n t b E r w a r t u n g s w e r t E ( t ) b B e d i e n r a t e = μ 1 E ( t ) b A u s l a s t u n g s g r a d = ρ λ μ Q u e l l e : A r n o l d
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fml Lehrstuhl für Fördertechnik Materialfluss Logistik • Univ.-Prof. Dr.-Ing. Dipl.-Wirtsch.-Ing. W. A. Günthner • TU München Bildung einer Warteschlange m f l 4 0 2 3 W
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