The study applied the conventional linear transportation program to the student assignment problem and investigated methods of measuring the achieved level of desegregation. Existing measures of desegregation were analyzed, and two new indexes were developed for use in the present model and probably for other system analytical models designed to deal with the same problem. The study calculated middle school student assignments for Richmond, Virginia, and experimented with "clustering" high school districts for Detroit, Michigan. Linear programing proved to be an applicable tool to handle several desegregation-related planning problems. The study proposes the implementation of the model to determine the desirability of school district consolidation, delineate school attendance zones, compute individual student assignments, analyze school extension alternatives, and to perform interregional comparisons of school desegregation efforts. (Pages 1-100 may reproduce poorly.) (Author)