By Klaus Ambos-Spies, Jürgen Kämper (auth.), Egon Börger, Hans Kleine Büning, Michael M. Richter (eds.)

ISBN-10: 354051659X

ISBN-13: 9783540516590

This quantity includes the papers which have been offered on the moment workshop "Computer technology common sense" held in Duisburg, FRG, October 3-7, 1988. those court cases disguise a variety of issues either from theoretical and utilized components of machine technological know-how. extra in particular, the papers take care of difficulties coming up on the border of common sense and desktop technology: e.g. in complexity, info base conception, good judgment programming, synthetic intelligence, and concurrency. the amount might be of curiosity to all logicians and laptop scientists operating within the above fields.

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**Extra resources for CSL '88: 2nd Workshop on Computer Science Logic Duisburg, FRG, October 3–7, 1988 Proceedings**

**Sample text**

W ' however, the convergence (in probabilities) appears to be 'slower'. 41 In fact, the observed values differ so widely that the confidence in observed averages of queuing variables appears as a serious problem. This problem arises with simulations as well as with observations of an existing queuing system ' Confidence intervals for the averages of queuing variables. Some theoretical considerations will be discussed here, on which two rules for practical application can be based. Consider an average of M V(V) random variables = M ~" m=l v 1 .

They m a y be applied to the n u m e r a t o r of ns~T) g(0, T ) , viz• m=l ts, m , if T is large because then the possible truncation of two service times m e n t i o n e d on p a g e 27 b e c o m e s insignificant• When a POISSON arrival process d e t e r m i n e s ns(0, T), pectation Ra T N and v a r i a n c e V(n) equal to = N Ts / T V ( g ( 0 , T) ) : 2 ( N V s + V(n) T s ) / : E(t 2) U ~ Ts N o t e that the v a r i a n c e tends to v e r g e n c e (in probabilities) of g(0, T) (see p a g e E ( g ( 0 , T) ) and bution of this number of summands has the e x - 0 g(0, T) as T ~ to = / 18 ).

U = Tw / ( T w + . 72 Ra = U / Ts . The example 'values lead to = . 8 0 5 / 1 . 68 sec "1 An approximation for the distribution of wait times. Distributions of the queuing variables were considered in chapter 3 , page wait time distribution Fw(X) , the knowledge of the expectation a reasonable approximation. In fact, Fw(0 ) Tw 43 ff. For the is sufficient to find is also known. It is the probability that an item does not wait at all. For POISSON arrivals, this probability is equal to the fraction of time for which the server is idle, due to the 'uniformly probing property' of random arrivals.

### CSL '88: 2nd Workshop on Computer Science Logic Duisburg, FRG, October 3–7, 1988 Proceedings by Klaus Ambos-Spies, Jürgen Kämper (auth.), Egon Börger, Hans Kleine Büning, Michael M. Richter (eds.)

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