Techniques for determining the eagerness of a call processing unit within a multiple processor call processing system to accept a new call or call upgrade, as well as call admission control and other call event processing, as well as systemwide load balancing through query of such eagerness are disclosed. Fuzzy logic and associated analysis is used to determine this eagerness. Eagerness for a particular call processing unit is determined in part with reference to the actual load of a call as well as an estimated load approximated using a probabilistic distribution function, such as a Gaussian distribution.