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Constrained optimization problems under uncertainty with coherent ...


Quadratic Two-Stage Stochastic Optimization with Coherent ...

able to cover a wide class of constrained recourse problems, including the case where the second stage is a convex quadratic programming problem [24,25]. As ...

Convex Approximations of Chance Constrained Programs

Chance constrained optimization problems were ... Nemirovski, Robust solutions of Linear Programming Problems Con- taminated with Uncertain Data, Math.

Solving Simple Stochastic Optimization Problems with Gurobi

The importance of incorporating uncertainty into optimization problems has always been known; however, both the theory and software were not up to the ...

Modeling and optimization of risk - Stan Uryasev

Thus, in effect, a decision making problem under uncertainty for a rational ... tion problems under stochastic and integer constraints, Operations Research.

Optimization of Financial Risk Measures - Uncertainty Quantification

∙ Risk measures can be integrated into optimization problems with uncertain variables, i.e., stochastic programs. One can set constraints on the risk measures ...

Solving Simple Stochastic Optimization Problems with Gurobi

The importance of incorporating uncertainty into optimization problems has always been known; however, both the theory and software were not ...

and Chance-Constrained Optimization Under Wasserstein ...

Index Terms—Optimization, stochastic systems. I. INTRODUCTION. OPTIMIZATION problems under uncertain constraints are ... Heath, “Coherent measures of risk,” Math.

Optimization of conditional value-at-risk

A simple description of the approach for minimization of CVaR and optimization problems with CVaR constraints can be found in the review paper by Uryasev ...

Distributed Constraint Optimization Problems and Applications

During the last decade, several extensions to the. DCOP model have been proposed to enable support of MAS in complex, real-time, and uncertain environments.

A Review of Stochastic Programming Methods for Optimization of ...

Chance constrained programming offers modeling flexibility to deal with reliability issues and have important connections with risk management. Robust ...

Exact methods and applications of optimization under uncertainty

To illustrate the difficulty of modeling constraint under uncertainty, consider the following toy problem: ... Solving certain singly constrained convex ...

1e6+ constrained optimization problems - Julia Discourse

The optimization problem is relatively simple, it is a system of three non-linear—basically polynomial—equations with three unknowns where the ...

Multiple shooting applied to robust reservoir control optimization ...

This formulation exploits coherent risk measures, a concept traditionally used in finance, to bound the risk on constraint violation. We propose a reduced ...

‪Erik Quaeghebeur‬ - ‪Google Akademik‬ - Google Scholar

2013. Constrained optimization problems under uncertainty with coherent lower previsions. E Quaeghebeur, K Shariatmadar, G De Cooman. Fuzzy Sets and Systems ...

MA575 Optimization Models in Quantitative Finance

... optimization, optimization under uncertainty, mathematical models of risk and their application. ... coherent measures of risk, and risk-constraints. 5. Calculate ...

Multi-period portfolio optimization using coherent fuzzy numbers in a ...

... constrained possibilistic portfolio optimization problem, Physica A ... uncertain portfolio optimization problem, Journal of Uncertain Systems, № 6, с.

Budget-constrained optimal reinsurance design under coherent risk ...

The constrained optimization problem is then displayed in the form of a mini- ... Optimal reinsurance under risk and uncertainty. Insurance: Mathematics ...

Robust Optimization

The constraints of the uncertain LP in question are “hard” — the decision maker cannot tolerate violations of constraints when the data is in U.

A Framework for Power System Operational Planning under ...

1 for various values of the uncertainty budget. Then, the uncertain constraint (3) can be included in an optimization problem by initially replacing it with the.

Multiple shooting applied to robust reservoir control optimization ...

This formulation exploits coherent risk measures, a concept traditionally used in finance, to bound the risk on constraint violation. We propose ...