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A finite-buffer queue with a single vacation policy: An analytical study with evolutionary positioning

Woźniak M., Kempa W. M., Gabryel M., Nowicki R. K.

International Journal of Applied Mathematics and Computer Science

2014

Vol. 24, no. 4

887--900

In this paper, application of an evolutionary strategy to positioning a GI/M/1/N-type finite-buffer queueing system with exhaustive service and a single vacation policy is presented. The examined object is modeled by a conditional joint transform of the first busy period, the first idle time and the number of packets completely served during the first busy period. A mathematical model is defined recursively by means of input distributions. In the paper, an analytical study and numerical experiments are presented. A cost optimization problem is solved using an evolutionary strategy for a class of queueing systems described by exponential and Erlang distributions.

Minimalizacja drgań i pozycjonowanie obiektu w układzie amortyzującym o ciągłym i dyskretnym rozłożeniu masy

Kasprzyk S., Urban G.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

2005

z. 65 [222]

175-180

In this paper the concideration relating to selecion of optimal control for discrete-continuous absorbing system described with system of ordinary and partial differential equations was presented. Selection of optimal control aimed at minimalization of vibrations of the object placed on platform fixed on flexible connector.