By Wojciech M. Kempa (auth.), Khalid Al-Begain, Simonetta Balsamo, Dieter Fiems, Andrea Marin (eds.)
This ebook constitutes the refereed complaints of the 18th overseas convention on Analytical and Stochastic Modeling suggestions and functions, ASMTA 2011, held in Venice, Italyin June 2011.
The 24 revised complete papers offered have been conscientiously reviewed and chosen from many submissions.The papers are equipped in topical sections on queueing idea, software program and computers, facts and inference, telecommunication networks, and function and performability.
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This publication constitutes the refereed complaints of the 18th overseas convention on Analytical and Stochastic Modeling ideas and purposes, ASMTA 2011, held in Venice, Italyin June 2011. The 24 revised complete papers offered have been rigorously reviewed and chosen from many submissions. The papers are prepared in topical sections on queueing idea, software program and desktops, records and inference, telecommunication networks, and function and performability.
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Additional info for Analytical and Stochastic Modeling Techniques and Applications: 18th International Conference, ASMTA 2011, Venice, Italy, June 20-22, 2011. Proceedings
Suppose Is be the starting invocation of use-case u and the set of all invocations within Is is partitioned in two blocking and non-blocking sets. Relation (1) for computing Θs(d) is generalized as follows: Θs(d)=Ts+ comps,d+ ∑ Θ d μ, α ∑ (5) μ, α S d . Table 1. Descriptions corresponding to symbols and parameters used in equations E ) = M : : 6% :E
Intuitively, we might expect at ﬁrst glance that our system with global FCFS would lie exactly in the middle between the two boundaries, because the probability of a blocking eﬀect is when the next customer is of the same type as the remaining customer in the server which is here always with probability 12 (= σ · σ + (1 − σ) · (1 − σ)). However, a simple reasoning provides the stability limit 43 (instead of 32 ). If many customers are present and two servers are working, this lasts until one of the 1 time units).
Z − H(μ + λ − λz) (8) Proof. Under the gated discipline the number of customers at the end of the service period (= at the start of vacation) equals to the number of customers arriving during the service period. The PGF of the number of arriving customers during a customer service time is B(λ − λz). g. ) m(z) = f (B(λ − λz)) (9) This relation describes the f → m transition under the gated discipline. Substituting (9) into (5) results in the governing equation of the system. 34 Z.