By Wojciech M. Kempa (auth.), Khalid Al-Begain, Simonetta Balsamo, Dieter Fiems, Andrea Marin (eds.)
This publication constitutes the refereed complaints of the 18th foreign convention on Analytical and Stochastic Modeling strategies and functions, ASMTA 2011, held in Venice, Italyin June 2011.
The 24 revised complete papers provided have been conscientiously reviewed and chosen from many submissions.The papers are geared up in topical sections on queueing idea, software program and desktops, information and inference, telecommunication networks, and function and performability.
Read Online or Download Analytical and Stochastic Modeling Techniques and Applications: 18th International Conference, ASMTA 2011, Venice, Italy, June 20-22, 2011. Proceedings PDF
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Extra info for Analytical and Stochastic Modeling Techniques and Applications: 18th International Conference, ASMTA 2011, Venice, Italy, June 20-22, 2011. Proceedings
According to the multiple working vacation policy the server serves the customers with a diﬀerent service time distribution during the vacation period instead of completely stopping the service. The customer service times in the vacation period are independent and identically distributed. v. in the vacation period, its LST and its mean, respectively. e. it interrupts the service and starts a new service on that customer with the customer service time B. If there are no customers in the system at the end of the vacation period, the server immediately takes another vacation period.
This is intuitively clear, because in that case the workload of the system is evenly divided between the two servers who have, by assumption, an equal mean service rate μ and giving one of the two servers more load has no beneﬁt. 26 W. M´elange et al. In Fig. 5, γmax , the maximum γ that still fulﬁls the stability condition, is plotted versus σ for both studied systems. It is clear that γmax is always bigger for the system without global FCFS, and this γmax is determined by the most loaded class.
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. Saﬀer and M. Telek The derivative of (9) at z = 1 gives m = ρf. (10) We deﬁne a sequence of functions recursively as |z| ≤ 1, β0 (z) = z, βk+1 (z) = B(λ − λβk (z)), k ≥ 0. (11) Theorem 3. 3 the stationary PGF of the number of customers at the end of a vacation is given as φ(B(λ − λθ(μ))) f (z) = φ(z) + μ + λ − λθ(μ) − ψ(B(λ − λθ(μ))) ψ(z).
Analytical and Stochastic Modeling Techniques and Applications: 18th International Conference, ASMTA 2011, Venice, Italy, June 20-22, 2011. Proceedings by Wojciech M. Kempa (auth.), Khalid Al-Begain, Simonetta Balsamo, Dieter Fiems, Andrea Marin (eds.)