The principle for constructing a mathematical model of working a thin coal bed using the adaptation criterion is examined. Intersecting parameters of the medium and the unit are presented. Based on these parameters, dependences are presented for the adaptation criterion and its maximization. A general mathematical model is presented for the technological system of unmanned extraction of a thin bed D/sub 5/ under conditions of the mine ''Dolinskaya'' of the Karaganda Basin. The work results can be used to plan technological systems for working thin coal beds.