Colored stochastic dominance problems

Stochastic Gene Expression: Dominance, Thresholds and Boundaries

Butterfly color patterns are built as finely tiles mosaics of colored scales, each the product of a single epidermal cell. The overall pattern is composed of a small number of pigments. Each scale appears to make an all-or-none “choice” to synthesize only one of this small set of alternative pigments. Gradual transitions from one color to another on the wing are accomplished by graded changes i...

Decision criteria in risk analysis : an application of stochastic dominance with respect to a function

Electricity Procurement for Large Consumers with Second Order Stochastic Dominance Constraints

This paper presents a decision making approach for mid-term scheduling of large industrial consumers based on the recently introduced class of Stochastic Dominance (SD)- constrained stochastic programming. In this study, the electricity price in the pool as well as the rate of availability (unavailability) of the generating unit (forced outage rate) is considered as uncertain parameters. Th...

Valid inequalities and restrictions for stochastic programming problems with first order stochastic dominance constraints

Stochastic dominance relations are well-studied in statistics, decision theory and economics. Recently, there has been significant interest in introducing dominance relations into stochastic optimization problems as constraints. In the discrete case, stochastic optimization models involving second order stochastic dominance (SSD) constraints can be solved by linear programming (LP). However, pr...

Optimality and duality theory for stochastic optimization problems with nonlinear dominance constraints

We consider a new class of optimization problems involving stochastic dominance constraints of second order. We develop a new splitting approach to these models, optimality conditions and duality theory. These results are used to construct special decomposition methods.