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Example text

3). , this s y s t e m can avoid to occur still can c o n t i n u e -line sub-system fails, time (in the duplex system, retracing segments of entire programs). to a 'rollback' We assume (i = i, 2) form two sub-systems, 1 p e r f o r m its functioning w h e n either point of p r o g r a m that two pairs of units A i and respectively, and the system can s u b - s y s t e m functions The models above have d i f f e r e n t functions, and repair under the a s s u m p t i o n s ~ence, we introduce the f o l l o w i n g states { 0, 1 .

Ii shows the d e p e n d e n c e of the c o v e r a g e CMI N ~ to the m i n i m u m in the g r a c e f u l l y d e g r a d i n g system required c o m p u t a t i o n a v a i l a b i l i t y of the duplex system w h e n that t-he d e p e n d e n c e of the c o v e r a g e k t = i/u • ~ p to exceed the varies. is a little w h e n p We see is rel- atively small. Fig. 99 CMZN Fig. is However, the d e p e n d e n c e of greater. 74) " CMi N We see that the a p p r o x i m a t i o n p << 1 . 74). when p p << i, in general, time d i s t r i b u t i o n .

4. 62) the numerical for the simplex examples system of the limiting availabilities (model i), the duplex system ( model 2-a), the dual system which are developed (model 2-b), and the multi in the preceding sections. system (model 3), The limiting availa- bilities and the MTBF's can be c o m p u t e d by s p e c i f y i n g all the distributions which are suitable time d i s t r i b u t i o n s common for each system. to each system. time d i s t r i b u t i o n s with shape parameter Gi(t) = 1 - the gamma repair 2: (i = I, 2), (!

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