Robust parallel control in a random environment and data processing optimization

Consideration was given to the control of processing large amounts of data, provided that there are two alternative methods of processing with different and a priori unknown efficiencies. It was required to determine the most efficient method and maintain its preferable use. With the use of parallel processing this may be carried out in a relatively small number of steps and actually without losses in the control performance, that is, without increasing the minimax risk. An invariant equation with a solution containing a singularity at t = 0 was previously obtained to describe the control. This solution was represented as a product with one cofactor being the density of the normal distribution which is singular at t = 0 and the other, the nonsingular one, the solution to a new equation. Numerical experiments demonstrated that this new equation offers greater possibilities for calculations. In particular, it enabled one to improve the asymptotic estimates of the minimax risk.