Discrete optimization of a gear pump after tooth root undercutting by means of multi-valued logic trees

•Hydraulic analysis of a gear pump after tooth root undercutting.•Calculating volumetric, hydraulic and mechanical, as well as total efficiency.•Arithmetic and logic values of the agreed parameters and the function of purpose.•The Quine—McCluskey minimization algorithm of multiple-valued functions for decision process.•Application of multiple-valued logic trees in a discrete pump optimization.

The choice of exploitation parameters for a given pump construction decides about its maximum efficiency. It is possible to adopt a mono-criterion or a multi-criteria approach in order to optimize the pump efficiency. The optimization process requires calculating volumetric efficiency, hydraulic and mechanical efficiency and total efficiency. The application of discrete optimization logical methods to analyze the degree of importance of construction and/or exploitation parameters of a gear pump after tooth root undercutting is presented in this study.