We consider the utility maximization problem for oligopsonistic market which is nonconvex optimization problem. Unlike the utility maximization for competitive market, the problem belongs to a class of global optimization. The purpose of this paper is to develop a theory and method for the above problem. We derive a new global optimality condition for our problem and based on this we propose a method which converges globally. Some test problems are examined.
The paper deals with an application of survival theory in mineral processing industry. We consider the problem of maximizing copper recovery and determine the best operating conditions based on survival theory. The survival of the system reduces to a problem of maximizing a radius of a sphere inscribed into a polyhedral set defined by the linear regression equations for a flotation process. To demonstrate the effectiveness of the proposed approach, we present a case study for the rougher flotation process of copper-molybdenum ores performed at the Erdenet Mining Corporation(Mongolia).
We consider the parametric minimization problem with a Lipschitz objective function. We propose an approach for solving the original problem in a finite number of steps in order to obtain a solution with a given accuraly.
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