Methods for finding the optimum

Promising are mathematical methods (analytical and computational). They are thoroughly developed, are studied in the relevant mathematical disciplines. A certain use of the search for optimism has received the simplest version of analytical methods, when the optimized indicator a is expressed through a function of one parameter a ₁ , which is subject to variation when it reaches its optimum. If an expression is received

where a ₁ , a ₂ , a ₃ - parameters or factors that are not variable during optimization, then

what gives the value of a _{1 opt} ; optimizing a . Then determined by a _opt . This analytical method is convenient for its comparative simplicity of mathematical transformations and visual results. Changing   a ₁ , a ₂ , a ₃ , it is possible to identify how changes in factors that are not varied during optimization will affect the optimum.

The complexity and multidimensionality of the problems of the design of electronic means, the presence of many factors that are difficult to quantify and identify the ratios reflecting them     impact on the result, leads to the fact that mathematical (analytical and computational) optimization methods are often not possible to use. Under these conditions, when optimizing the XPS, the system is decomposed, dividing it into more homogeneous parts, which are optimized. At the same time, if the decomposition is correctly performed, one can be guided by the fact that the RES, formed from the optimized parts, will be close to the optimum.

Sometimes they apply a qualitative search for the best solution, based on a comparison of options that are formed and compared heuristically or calculated. This is the disadvantage of optimizing the design of a radio electronic device, but this also contains great opportunities for making non-trivial, searchable, creative solutions that fully reveal the designer’s creative possibilities.