For a large organization such as a military service which can foresee future growths in its manpower requirements, a systematic tool that can provide analysis of its present manpower structure and policies in terms of meeting the future requirements, is in order today. This paper proposes a network model for such a purpose. The ROK Navy officer corps manpower system is studied and formulated as a network model, which may be expressed as a linear programming problem of minimizing total cost. An appropriate cost concept is developed and the out-of-kilter algorithm of Ford and Fulkerson is computer programmed to be used as a solution procedure for this network problem. A case study is conducted with a set of hypothetical data on a possible Navy combat-line specialty manpower problem.