Abstract
The main stages of queuing systems development are highlighted and represented the criteria of division of these sys[1]tems onto Markov and non-Markov types. On the base of these positions we have established that power systems and power consumption systems can be treated as queuing systems of Markov type. The model of graphs of electrical power consumption as periodical Markov chain is grounded. The method of evaluation of transitional matrices is examined, and on concrete example of power consumption, such evaluations are retrieved. References 8, table 1, figures 3.
References
Baranov G.L. Marchenko B.G., Pryіmak M.V. Model forming and analysis of stochastic periodical loads of power systems // Izvestiia AN SSSR. Energetika i transport. – 1991. – №2. – Pp. 12–21. (Rus)
Gnedenko B.V. Dialogues about the theory of queuing systems. – Мoskva: Znanie, 1973. – 64 p. (Rus)
Gnedenko B.V., Kovalenko I.N. Introduction into the theory of queuing systems. – Мoskva: Nauka, 1987. – 336 p. (Rus)
Marchenko B.G., Myslovych M.V., Pryіmak M.V. Statistical analysis of power loads with accounting of their stochastic periodicity // Tekhnichna Elektrodynamika. – 2003. – №4. – Pp. 61–65. (Ukr)
Marchenko B.G., Pryimak M.V. Creation of the model and analysis of stochastic periodical loads in power systems // Pratsi Instytutu Elektrodynamiky NAN Ukrainy. – 1999. – Vol.1. – Pp. 129–153. (Ukr)
Pryimak M.V. Fundamentals of modeling theory, analysis and prediction in automated systems of control of rhythmical processes: Autoref. desert. doc of Tech. Sc.: 05.13.06 / Kyivskyi Natsionalnyi Aviatsiinyi Universytet, 2001. – 34 p. (Ukr)
Pryimak M., Vitsentiy O., Proshyn S. Error of estimations of matrices of transitions of periodic markov’s chain // Visnyk Ternopilskoho Natsionalnoho Tekhnichnoho universytetu. – 2010. – Vol. 15. – №3. – Pp. 150–159. (Ukr)
Foss S.H. Stochastic systems and service networks. – Novosibirsk: Novosibirskii Gosudarstvennyi Universitet. – 14 p. (Rus)
![Creative Commons License](http://i.creativecommons.org/l/by-nc-nd/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright (c) 2023 Array