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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
Yu.V. Zhernovyi, K.Yu. Zhernovyi

POTENTIALS METHOD FOR M/G/1/m SYSTEMS WITH THRESHOLD
OPERATION STRATEGIES

Abstract. We propose a method to analyze M/G/1/m queuing systems with the function of random dropping of customers and distribution of the service time depending on the queue length. Formulas to determine Laplace transforms of the distribution of the number of customers in the system during the busy period and of the distribution function of the busy period and to calculate the stationary characteristics are obtained. The relations for the stationary characteristics are tested using simulation models constructed with the assistance of the GPSS World tools. An example of comparison of the results of the use of various control tools of system parameters is given.

Keywords: single-channel, queueing system, threshold strategies, random dropping of customers, potentials method.



FULL TEXT

Жерновый Юрий Васильевич,
кандидат физ.-мат. наук, доцент Львовского национального университета имени Ивана Франко,
e-mail: yu.zhernovyi@lnu.edu.ua.

Жерновый Константин Юрьевич,
кандидат физ.-мат. наук, доцент Львовского учебно-научного института университета банковского дела,
e-mail: k.zhernovyi@yahoo.com.

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