Authors I.V. Chechin
Month, Year 05, 2015 @en
Index UDC 004.94
Abstract Use of systems of the linear arithmetical polynomials with masking for the analysis of approach of unfavorable events on technical object is considered. Need of application of the linear arithmetical polynomials with masking is dictated by objective requirements to efficiency of obtaining information on events on technical object (including about localization of the refused elements and subsystems). Obtaining this information is connected to calculation of logical expressions of the unfavorable statuses of controlled object (trees of events) describing scenarios of development. At high complexity and a large number of scenarios duration of calculations of logical values can exceed an interval of time of development of adverse events. Information on adverse events on technical object can be received by consecutive calculation of linear arithmetic polynoms of each level of hierarchical structure of a tree of events. Thus as entrance arguments for calculation of the polynom corresponding to the current level of a tree results of calculations of the polynom corresponding to the underlying level of a tree are used. Key indicator of the applied linear arithmetic polynoms is their small length which allows to reduce time necessary for realization of a tree of adverse events. It, in the turn, allows to reduce time of determination of current state of object of control. Application of the linear polynomials with masking allows to increase the speed of calculation of values of system of boolean functions approximately by 50 times in comparison with sequential calculation of values of boolean functions of system. The gain in time of calculations increases in process of increase in number of the controlled initiating events, number boolean functions at the level of a tree and number of levels of a tree.

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Keywords Linear numerical polynomials with masking; technical objects reliability and safety; parallel realization of Boolean system functions; mathematical supply of SCADA.
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