The tasks of effective use of multiprocessor computing systems of mobile objects require rational organization of computing processes on board. The article discusses a parallel computing process with temporal redundancy, which provides for periodic saving of the current state of calculations with the possibility of their restoration in order to ensure fault tolerance. A previously known solution to a specific optimization problem of choosing the frequency of saving the current state of a computing process under conditions of possible failures is briefly analyzed. A new improved method for solving this problem is proposed. Comparative results of its solution in various ways are presented and conclusions are drawn about the advisability of using the proposed approaches.