On an algorithm for simulation of multiparticles events

The paper considers an algorithm for the Monte Carlo simulation of multiparticle events based on a single-particle inclusive distribution and additional restrictions. It is shown that the proposed algorithm allows us to obtain an unbiased single-particle distribution when the restriction on the sum of values of random variables obtained in a single event is strictly fulfilled. Using the example of hadron interactions at ultrahigh energies, the possibility of recreating pre-defined statistical characteristics of an ensemble of particles generated in a single interaction is demonstrated. The possibility of imposing an additional restriction on the type of distribution is also discussed by the number of random variables obtained in a single event.