When a given user equipment (UE) has a plurality K of cells currently serving it, in various embodiments there is an algorithm for triggering the UE to wirelessly send a cell measurement report. The algorithm utilizes a parameter whose value is dependent on the number K of cells currently in the UE's active set. The UE updates K anytime a new cell is added to, or a serving cell is removed from, the UE's active set. In various examples the parameter is an offset that operates such that for adding a new cell increasing values of K make it more difficult to satisfy the algorithm. One example has the offset's value computed using a slope value provided by the network and a default offset value; another has the offset's value computed using maximum and minimum allowable values of both K and the offset which are provided by the network.