Investigation of networks with positive and negative messages, many-lines queueing systems and incomes

• Autorzy: Naumenko V. , Matalytski M.

Identyfikatory

DOI

10.17512/jamcm.2015.1.08

• Języki publikacji: EN

Abstrakty

EN

The analysis of an open Markov Queueing Network with positive and negative messages, many-lines queueing systems and incomes has been carried out. External arrivals to the network, service times of rates and probabilities of messages transition between queueing systems (QS) depend on time. A method for finding the expected incomes of the network systems, the expressions for the average number of messages at the systems has been proposed.

Słowa kluczowe

EN

G-network; negative messages; many-lines systems; expected incomes; information systems and networks

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 1
• Strony: 79--90
• Opis fizyczny: Bibliogr. 7 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 Czestochowa, Poland

Bibliografia

• [1] Gelenbe E., Product form queueing networks with negative and positive customers, Journal of Applied Probability 1991, 28, 656-663.
• [2] Bocharov P.P., Vishnevsky V.M., G-networks: the development of the theory of multiplicative networks, Automation and Remote Control 2003, 5, 46-74 (in Russian).
• [3] Matalytski M.A., On some results of the analysis and optimization of Markov networks with incomes and its applications, Automation and Remote Control 2009, 10, 97-113 (in Russian).
• [4] Naumenko V.V., Matalytski M.A., Analysis of Markov network with incomes, positive and negative messages, Informatics 2014, 1, 5-14 (in Russian).
• [5] Pervasive Technology Labs at Indiana University Types of DDoS Attacks. Distributed Denial of Service Attacks (DDoS) - Resources, Pervasive Technology Labs at Indiana University, Advanced Networking Management Lab (ANML), December 3, 2009, Archived from the original on 2010-09-14, retrieved December 11, 2013.
• [6] Sofroniou M., Knapp R., Advanced numerical differential equation solving in Mathematica, Wolfram Mathematica ® Tutorial Collection, 2008 Wolfram Research, Inc.
• [7] Matrosov A.V., Maple 6. Solving Problems of Higher Mathematics and Mechanics, BHV-Petersburg, 2001, 526 p. (in Russian).