Current work in mathematical modeling for manpower planning and personnel administration is reviewed with special reference to selected cases in the U.S. Navy. This included: (1) assignment models and their dynamic extensions, (2) Stochastic models with special reference to Markoff Processes, including the Office of Civilian Manpower and Management's goal programing extensions, (3) input-output and activity analysis models, and (4) combinations and extensions with mathematical programing relations delineated. Evaluations of existing developments are delineated with possible paths for future strategies. Potentials for science as well as management are explored. (Author)