<p>The simplified mathematical models currently used to estimate the productivity rate of multi-cutting machining operations fail to meet the needs of manufacturers. The existing models for gear-shaping fail to consider actual cutting time and neglect the unique characteristics of the gear-shaping process, resulting in inaccurate output calculations. The gear manufacturing process involves intermittent reciprocal and rotary motions of multi-cutter tools, with several cutters involved in the machining process. To optimise gear-shaping operations, a precise mathematical model that includes all parameters of the machining process is essential for maximising cutting speed. The gear-shaping operation is based on several parameters of technology, machine tool motions and reliability indices of the cutter and other units. All of them are interrelated and should be presented in one mathematical model for the productivity rate, which can give optimal machining regimes by the criterion of the maximal output. A proposed research paper introduces an accurate mathematical model for optimising the gear-shaping process, which can increase the machine tool productivity by 1.4 times. Manufacturers can effectively apply the research findings presented by the mathematical model for productivity to yield the maximum productivity of the gear-shaping process.</p>