American Journal of Applied Mathematics
Volume 8, Issue 6, December 2020, Pages: 293-299
Received: Oct. 14, 2020;
Accepted: Oct. 29, 2020;
Published: Nov. 11, 2020
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Aleksandra Rajcevic, Faculty of Civil Engineering, University of Belgrade, Belgrade, Serbia
In this theoretical article is considered reliability cybernetics systems with probability theory. Optimal control and managing assigned goals of system are considered after control actions were assigned with a determined probability of realization. Real system is set of elements functionally connected in one whole for achieving determined goal using, transforming and exchanging energy, resources and informations. Real system mainly is presented as functional and physical whole. System researched by cybernetics could be school, metallic company or concrete factory. New concepts are involved in researching cybernetics systems reliability systems and optimal control. Controlling system is an action on object of control which optimized functioning of that object. Optimal control is substituted set of control actions which are got favorable optimal criterion value. Optimal criterions are considered as values of gains or value of losses. Reliability systems is property of system to realize his function or goal with some probability, having in mind reliability all of system elements. Realization wanted output or goal realization is calculated as intersection projected system parts realizations with determined probability. In this paper will be shown three different systems regarded to how they executed their controlling actions. Probability of realization system goals are calculated for two cases: maximum and minimum reliability. Intention is to show and calculate reliability systems with high human resources representation.
Reliability Systems and Optimal Control – Goal Realization Probability, American Journal of Applied Mathematics.
Vol. 8, No. 6,
2020, pp. 293-299.
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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V. Vujičić and B. Petrović, Cybernetics (Kibernetika), Naučna knjiga, Beograd 1979.
B. Đorđević, Water resources systems (Vodoprivredni sistemi), Naučna knjiga, Beograd 1990.
J. Mališić and V. Jevremović, Statistical analyze and stochastic processes (Statistička analiza i slučajni procesi), Naučna knjiga, Beograd 1991.
N. Wiener, Cybernetics: or control and communication in the animal and the machine, Cambridge, Massachusets: MIT Press, 1948.
L. T. Kuzin, Osnovy kibernetiki, “Energija”, Moskva 1973.
J. Mališić, Stochastic processes theory and applications (Slučajni procesi teorija i primena), Građevinska knjiga, Beograd 1989.
S. Opricović, Multicriterion systems optimization in civil engineering (Višekriterijumska optimizacija sistema u građevinarstvu), Građevinski fakultet Univerziteta u Beogradu, 1998.
Z. Ivković and D. Banjević, Probability and mathematical statistics (Verovatnoća i matematička statistika), Naučna knjiga, Beograd 1981.
J. Mališić, Problems collection of probability theory with applications (Zbirka zadataka iz teorije verovatnoće sa primenama), Građevinska knjiga, Beograd 1982.
P. M. Vasić, Exercises and problems of probability theory (Zadaci i problemi iz teorije verovatnoće), Građevinska knjiga, Beograd 1982.
D. Dimitrijević, Computational programme (Računarsko programiranje), Naučna knjiga, Beograd 1986.
D. Dimitrijević and Lj. Savić, Computational programme problems collection (Računarsko programiranje zbirka rešenih zadataka), Naučna knjiga, Beograd 1986.
B. Vasić and V. Popović, Managing methods of engineering (Inženjerske metode menadžmenta), Institut za istraživanja i projektovanja u privredi, Beograd 2007.
Đ. Marković, J. Plavšić, M. Stanić and G. Sekulić, Nonparametric estimation of density function in hidrology (Neparametarske funkcije raspodele u hidrologiji), Vodoprivreda Vol. 43 (2011) 249-251, Beograd.
B. Đorđević and T. Dašić, Method for determinig the enviromental flow downstrem od the dams and water intakes (Određivanje potrebnih protoka nizvodno od brana i rečnih vodozahvata), Vodoprivreda Vol. 43 (2011) 252-254, Beograd.