Control of the search for observation objects from a spatio-temporal poisson flow in a multi-channel search system

The article considers the problem of searching for objects of observation for the case, when the sequence of their appearance satisfies the laws of spatial and temporal Poisson flow. Its solution is obtained without taking into account the limitations associated with the significant excess of the search effort intensity over the intensity of the flow of observation objects. As a mathematical model, used for optimization of the search, the system of differential equations describing dynamics of changing of mathematical expectation of number of objects present in subdomains of the search system’s field of view, but not yet detected. A procedure for optimizing the distribution of search effort intensity in search system channels for of dynamic and steady state search modes. Presented are examples.