DECISION MAKING MODELS AND ALGORITHMS IN SITUATIONS OF UNCERTAINTY

Abstract

This study describes three decision making models for uncertain situations, when the decision maker has infinity of alternatives, the activity is determined by uncontrollable factors, and the number of states of nature is considered finite. The proposed mathematical models have certain degrees of complexity, while, also, adequately reflecting the decision-making aspects under insufficient, non-deterministic information conditions, etc. At the same time, they represent a current vision for extending the classical possibilities of the optimization algorithms of different economic processes of production, of free market or monopolistic type, and transport (distribution), for the cases with continuous decisions in the game with nature. Moreover, it is admitted that the consumer’s behaviour is uncertain, and the demand cannot be determined a priori, knowing only the possible variants of its realization.

Keywords

• uncertainty
• decisions
• wald criterion
• savage criterion
• generalized gradient
• numerical algorithms