Modeling probabilistic conflict of technological systems

Recently for the study of conflict increasingly used method of mathematical optical modeling. Its importance stems from the fact that experimental research such conflicts rather time-consuming and complex. However, existing approaches to the study of conflict do not take into account the stochastic nature of the systems, suffers from conceptual incompleteness. There is a need to develop models, algorithms and principles, in order to assess the conflict, to choose conflict resolution to ensure that not the worst of conditions. For stochastic technological systems as a utility function, we consider the probability of achieving a given objective. We assume that some system S1 is in conflict with the system S2, (S2 К S1), if q(S1,S2)1,), where q is the utility function of meta S = {S1,S2}. In this case we can speak about the conflict of random events, achieving some target States. Then-when, if and joint dependent random events, then the probability the conflict between events (And In) can be defined in two ways: Definition 1. Between A and b is observed probabilistic conflict of the first kind (А К1 B), if P(A/B)2 B), if P(A/B)