Combinatorial Optimization of Engineering Systems based on Diagrammatic Design

Abstract

The objectives of the combinatorial optimization of engineering systems based on diagrammatic design are enhancing technical indices of the systems with spatially or temporally distributed elements (e.g., radio-antenna arrays) concerning resolving ability, positioning precision, transmission speed, and performance reliability, using the graphical performance of appropriate algebraic models of the system, such as cyclic difference sets, Galois fields and “Ideal Ring Bundles”. The diagrammatic design provides configuring systems with a smaller number of elements than at present, while upholding or improving on the other significant operating quality indices of the system.