A method for allocating articulated tasks to determinate resources such that enterprise efficiency is maximized. The method uses geographic parameters to perform a set of incrementally rotated reassessments using subtended angular offsets to optimally allocate tasks to resources, thereby rapidly approximating the results that would be obtained from a full permutation suite, but without the massive computational overhead associated with comprehensive permutation weighting. The method provides for proper handling of post-posited task insertions at optimal points within the parameter space, providing final determination authority to the system user. The parameter space can include temporal banding for resource-to-task association. The utility of the method for handling the core calculations of routing and dispatching software, such as is used in the many service industries, is transparent.