As the complexity of mechanical design increases, due to larger size mathematical models, the need for rational design procedures also goes up. As shown elsewhere, dichromatic graphs have proven their value as tools for the algorithmic education of mechanical engineers. This paper analyzes the worth of such graphs as a means to achieve rational design solutions in complex industrial problems. The paper covers plant maintenance and research & development professional case studies. A real-life problem in electromechanical system reengineering is the first application example. Attention is also given in the paper on the partitioning of large problems, involving many variables and relations. The design of a planetary gear unit, with a three-digit number of elements in the mathematical model, is an example problem in this area. In addition, changes and extensions to the computational problem solving theory are included.

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