The statement and decision of the optimization problem about the determination of the transition depth from open to underground miming with reference to kimberlite deposits of Yakutii on condition of the maximum Net Present Value (NPV) with provision for building lag-time is given in this article. The main dependencies of NPV from open mining design capacity and depths in steady-state and dynamic statement of the problem are brought. It is proved that underground mining of part balance ore deposits reduces the optimum depth of the transition from open mining to underground. The decisions and recommendations are given on depth of the transition from open mining to underground for kimberlite tube "Botuobinskaya" AK ALROSA.
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