Average Packet Output Time For Conflict with Multiplicity 3 and Ternary Feedback

In problems of multiple access packet communications networks, one is required to analyze packet conflicts to find ways of resolving them. We find that in order to give a successful transmission to any given packet participating in a conflict of multiplicity 3, it is necessary and sufficient to use 3.53 (up to the three written digits) slots on average. Here we assume that after each slot, a feedback gives knowledge of whether it was an empty, successful, or conflict slot but does not tell the conflict multiplicity in the case of conflict.