In order to solve the special complexity of architecture design of cross-domain operational systems， a design method of multi-dimensional architecture is proposed， including the design of conceptual architecture， physical architecture and logical architecture. The definitions and design procedures of the three above architectures are provided， with the conceptual architecture design including threat situation research， opposition research， capacity requirements analysis and operational concept generation， the physical architecture design including component elements selection， connection relationships description and deployment design， the logical architecture design including organizational hierarchy relationships design， operational process design， information sharing design and precision information transmission analysis. The proposed method can provide guidance for the architecture design of cross-domain operational systems.

Aiming at the complex battlefield situation and diversified weapons and equipments in the modern battlefield， a typical air defense scene model is constructed. Mathematical model and the program， and the pre-optimization design scheme of the defense resources deployment under multiple constraints are obtained by using intelligent solution algorithm. Optimization design and solution are carried out in typical scenarios by using the nested genetic algorithm for the coverage issues of the detecting perceptual resources, and the intercepting and striking resources. The results show that the nested optimization algorithm can optimize the deployment of operational elements of air defense in typical scenes in a short time. Compared with traditional experience-based methods， the resource deployment scheme given by the optimization design has a higher value of space coverage ratio.