A communications network comprises a plurality of participants. A first participant transmits a message repeating sequence of N≥2 successive messages to a second participant. An action which can be performed by the second participant is assigned to each message in the sequence. The first participant begins to transmit one of the N messages at N successive transmission times T_I (I=O, . . . , N−1). Each of the N messages contains a field defining a waiting time.The second participant selects one message from among the messages in the sequence which are successfully received by the second participant as a useful message, measures a time elapsed since reception of the useful message, and performs the action assigned to the useful message when the elapsed time has reached the assigned waiting time.