On one inverse problem of optimal planning under uncertainty in prediction

Abstract

In the present paper we consider an enterprise for production of biogas from animal waste. As it happens with any process, some dangerous waste is generated in the process of biogas production, which usually is stored and neutralized in a special settling tank. The external conditions in which such enterprises operate are such that certain external masses get into the tank, for instance, water entering the reservoir as a result of the floods, precipitation, etc. Consequently, if the reservoir is overfilled, then some of its contents get into the external environment, causing harmful effects both on the human and animal habitat and on the industry itself. In this paper a mathematical model in the form of a single-criterion inverse optimization problem is developed for planning biogas production under conditions of uncertainty, when in addition to the planned production indicators there are also indicators which values are not known a priori and are to be determined as a prediction, taking into account the fact that planning and predictiveindicators are bound by joint constraints in the form of inequalities and equalities.