Heat exchangers are present in our daily living and industrial applications. The size scale of heat exchangers is very large ranging from very small chips in electronics to huge equipment in process and energy industry. In the paper optimization approaches of some industrial examples are given. The goal is to present how analytical results can and must be used in multi-objective optimization of applications. The details of equations are not given due to page limits but they are found in the literature. The main goal is to show how numerical, analytical and optimization methods can be and must be combined in optimization of exchanger design and performance. The performance depends on very many factors and contradictory requirements must take into account such as maximization of heat transfer and simultaneously minimize for example the weight and size. Modifications of four existing applications are component placement on a wiring board, optimization of heat sink in power electronics, quality control in a glass tempering and optimization of a very huge heat exchanger called economizer in a recovery boiler.