Conflict multiplicity estimation and batch resolution algorithms

The standard model of a multiple-access channel with ternary feedback is considered. When packets of a batch of k nodes initially collide, it is assumed that no a priori statistical information about k is available. An algorithm is presented and analyzed that enables the nodes to compute a statistical estimate of k. Combining the estimation procedure with tree algorithms leads to batch-resolution algorithms that resolve conflicts more efficiently than any other reported to date. Both complete-resolution and partial-resolution algorithms are presented