Methods of choosing the pairs of contacting objects for investigations of the evolution of discrete systems with binary interactions

Different modifications of our method of choosing the pairs of contacting objects for investigations of the evolution of discrete systems with binary interactions are suggested. Computer simulation of the evolution of some such systems was made using several methods. It is shown that the amount of calculations obtained by using our method called the method of a conditional triangular matrix is less than that obtained by using the different modifications of the method of virtual contacts suggested earlier by T. M. Eneev and N. N. Kozlov.