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

• Autorzy: Marcin Woźniak , Wojciech M. Kempa , Marcin Gabryel , Robert K. Nowicki
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

finite-buffer queue; evolutionary strategy; object positioning; queueing system; busy period; idle time; single vacation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: 24
• Numer: 4
• Strony: 887-900

Daty

wydano

2014

otrzymano

2013-10-16

poprawiono

2014-03-31

Twórcy

autor

Marcin Woźniak

• Institute of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100 Gliwice, Poland

autor

Wojciech M. Kempa

• Institute of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100 Gliwice, Poland

autor

Marcin Gabryel

• Institute of Computational Intelligence, Częstochowa University of Technology, Al. Armii Krajowej 36, 42-200 Częstochowa, Poland

autor

Robert K. Nowicki

• Institute of Computational Intelligence, Częstochowa University of Technology, Al. Armii Krajowej 36, 42-200 Częstochowa, Poland

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Identyfikatory

DOI

10.2478/amcs-2014-0065