Abstract: Non-uniform spatial loads are estimated for a plurality of bins corresponding to a cellular wireless territory served by Base Station Transceivers (BTS's). Using means and standard deviation of signal strength received at each of the bins from each of the BTS's, probabilities are computed for each bin such that each of the BTS's will serve the bin. Using the computed probabilities and an estimated offered load for each BTS, which load is derived from carried load and call lost measurements at the BTS, a resource constraint is then expressed for each BDS in terms of the bin offered load estimates. Next, using an approximation of relative demand for wireless services across all bins, based, for example, on demographic data, a performance function is expressed for each bin in terms of the bin's estimated offered load. Using the performance function a lexicographic minimax objective function is defined, which is then coupled with the resource constraints to express an equitable resource allocation model.

Abstract: Non-uniform spatial offered loads are estimated for a plurality of bins corresponding to a cellular wireless territory served by Base Station Transceivers (BTS's). Using mean and standard deviation of signal strengths received at each of the bins from each of the BTS's, probabilities are computed for each bin that each of the BTS's will serve the bin. Using the computed probabilities and an estimated offered load for each BTS, which load is derived from carried load and call lost measurements at the BTS, a resource constraint is then expressed for each BTS in terms of the bin offered load estimates. Next, using an approximation of relative demand for wireless services across all bins, based, for example, on demographic data, a performance function is expressed for each bin in terms of the bin's estimated offered load. Using the performance functions, a lexographic minimax objective function is defined, which is then coupled with the resource constraints to express an equitable resource allocation model.

Abstract: A number of RPs stagger the times in which they begin searching for available channels. In a preferred method, one of a plurality of RPs in a UPCS system is selected to have a first start time. The system determines which RPs in the system can "see" the selected RP. Each of these RPs is given a unique stagger start time. This process may be repeated until each RP in the system is assigned a stagger start time. Alternatively, if there are fewer RPs in the system than there are available stagger start times, each RP may be selected to have a unique stagger start time.