Simulation modeling of HM-networks with consideration of positive and negative messages

• Autorzy: Naumenko V. , Matalytski M.

Identyfikatory

DOI

10.17512/jamcm.2015.2.06

• Języki publikacji: EN

Abstrakty

EN

In the article an open Queueing Network (QN) with positive and negative messages and incomes, which can be used in modeling of the behavior of viruses at the Information Systems and Networks (ISN), and also at forecasting costs taking into account virus penetration, was analyzed. Some numerical and analytical results were described on the analysis of exponential QN of the above type. It was given an algorithm of simulation modeling (SM) of HM-networks with positive and negative messages, based on the 0-point, which allows you to find incomes in such networks with arbitrary distribution of service times of positive messages. The results of the SM have been compared with the proposed analytical and numerical results. Sufficiently high accuracy of these methods was shown.

Słowa kluczowe

EN

HM-network; incomes; negative messages; simulation modelling

PL

HM-sieci; dochody; modelowanie symulacyjne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 2
• Strony: 49--60
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Naumenko V.

• Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus

autor

Matalytski M.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Gelenbe E., Product form queueing networks with negative and positive customers, Journal of Applied Probability 1991, 28, 656-663.
• [2] Naumenko V., Matalytski M., Analysis of Markov networks with incomes, positive and negative messages, Informatics 2014, 1, 5-14.
• [3] Naumenko V., Income analysis at Markov G-networks by successive approximation method, Vestnik of GrSU 2014, 2, 1, 143-157.
• [4] Matalytski M., Naumenko V., Application of a z-transforms method for investigation of Markov G-networks, J. Appl. Math. Comput. Mech. 2014, 13(1), 61-73.
• [5] Dai J.G., Simulation studies of multiclass queueing networks, IEEE Transactions 1997, 29(3), 213-219.
• [6] Pankov A., Matalytski M., Computer simulation of incomes in queueing networks and its application, Computer Science 2005, 5(9), 29-36.
• [7] Astakhov A.M., Simulation modeling of systems with negative customers and their application to the analysis of OBS-networks, Vestnik of GrSU 2008, 2, 3, 138-144.
• [8] Statkevich C.E., Simulation modeling HM-networks with unreliable service, Vestnik of GrSU 2012, 2, 2, 129-134.
• [9] Naumenko V., Matalytski M., Analysis of Markov net with incomes, positive and negative customers, Informatics 2014, 1, 5-14.