In view of the relative lack of research on the method of determining the Tactical Technical Indicators requirements through the typical indexes trade-off model in the domestic combat technology index demonstration, based on the non-convex quadratic programming problem widely used in engineering design and economies of scale, a new linear relaxation is proposed with the help of the characteristics of the quadratic function The method uses the new ultra-rectangular reduction and pruning techniques according to the differential median theorem, and uses the branch and bound method to solve, which provides a quantified and efficient method for determining the technical parameters of the weapon equipment design.