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Modeling of the conflict of contradictory systems in the conditions of electronic countermeasures by means of Petri–Markov's networks with any laws density of distribution of time of transitions

Keywords:

A.A. Dontsov – Ph.D. (Eng.), Candidate for a Doctors Degree, Military Education-Research Center of Military Air Forces «Military Aviation Academy named for prof. N.E. Zhukovsky and Yu.A. Gagarin» (Voronezh) Yu.L. Koziratsky – Dr.Sci. (Eng.), Professor, Chair of Military Education-Research Center of Military Air Forces «Military Aviation Academy named for prof. N.E. Zhukovsky and Yu.A. Gagarin» (Voronezh)


The option of modification of the device of networks of Petri–Markov for modeling of difficult processes of conflict interaction of contradictory diverse information and fighting systems in the conditions of active bilateral actions of electronic countermeasures is offered. New properties of transitions of the networks are entered, allowed due to removal of restrictions on symmetry and limitation of logical conditions of continuation of processes to consider all variety of communications of interacting elements in modeling difficult systems and it is essential to reduce number of conditions of a network. It is shown that received by means of search models the difficult probabilistic and time dependences considering characteristics of deliberate and inadvertent hindrances, can be correctly included in tools of networks of Petri–Markov as characteristics of the corresponding transitions. The new algorithm of modeling of any laws of density of distribution of time of the transition, based on representation of analytical dependence of density of probability in the form of the distribution histogram with any time interval determined by a step of modeling is developed. With use of the developed algorithm imitating modeling of the facts of operation of transitions of a network of Petri–Markov which probabilistic and time characteristics are described by difficult laws of distribution of time of transitions is carried out. It is shown that high value of confidential probability of coincidence of the simulated dependences of function of distribution of time of transition with theoretical at 5 percentage confidential interval can be reached already at 100 realization of the developed algorithm.
References:

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