In a network such as a cellular telephone communications network, a control server balancing processing loads among several resource servers resolves a tie between resource servers using the resource servers' prior, current and future load state data and call gap percentages in each of the prior, current and future load states. Such tie resolution also takes into account the trend of resource demands placed on the network; whether it is monotonically increasing, monotonically decreasing or indeterminate. The goal of such resolution is to maximize the throughput of the network while eliminating random selection of resource servers to service requests.