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Reliability Systems and Optimal Control – Goal Realization Probability
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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Abstract
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.
Keywords
Probability, Cybernetics, Reliability Systems, Controlling
Aleksandra Rajcevic, Reliability Systems and Optimal Control – Goal Realization Probability, American Journal of Applied Mathematics. Vol. 8, No. 6, 2020, pp. 293-299. doi: 10.11648/j.ajam.20200806.11
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