Abstract

Automated lines with complex structures consist of stations and mechanisms with different levels of reliability. Most publications that present the mathematical models for productivity of automated lines are based on simplifications to derive the approximate equations of productivity. Simplification is based on the premise that all stations of the automated lines have one level of reliability, and balancing of technological process on stations is conducted evenly, etc. However, manufacturers need correct and clear mathematical models to enable the calculation of the productivity of the automated lines with high accuracy. This paper presents the analytical approach to the productivity rate of the automated lines with stations and mechanisms, with different failure rates, and processing times. The proposed mathematical models allow for the output of automated lines to be modelled with results that are close to actual productivity.

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