STOCHASTIC MULTIOBJECTIVE OPTIMIZATION ON A BUDGET: APPLICATION TO MULTIPASS WIRE DRAWING WITH QUANTIFIED UNCERTAINTIES

Noisy Multiobjective Optimization on a Budget of 250 Evaluations

In engineering and other ‘real-world’ applications, multiobjective optimization problems must frequently be tackled on a tight evaluation budget — tens or hundreds of function evaluations, rather than thousands. In this paper, we investigate two algorithms that use advanced initialization and search strategies to operate better under these conditions. The first algorithm, Bin MSOPS, uses a bina...

Multiobjective Optimization on a Budget of 250 Evaluations

In engineering and other ‘real-world’ applications, multiobjective optimization problems must frequently be tackled on a tight evaluation budget — tens or hundreds of function evaluations, rather than thousands. In this paper, we investigate two algorithms that use advanced initialization and search strategies to operate better under these conditions. The first algorithm, Bin MSOPS, uses a bina...

Application of Stochastic Programming to Determine Operating Reserves with Considering Wind and Load Uncertainties

Wind power generation is variable and uncertain. In the power systems with high penetration of wind power, determination of equivalent operating reserve is the main concern of systems operator. In this paper, a model is proposed to determine operating reserves in simultaneous market clearing of energy and reserve by stochastic programming based on scenarios generated via Monte Carlo simulation ...

Multiobjective Stochastic Optimization Problems with Probability Constraints

Multiobjective optimization problems depending on a probability measure often correspond to situations in which an economic or financial process is simultaneously influenced by a random factor and a decision parameter. Moreover it is reasonable to evaluate the process by a few objective functions and it seems reasonable to determine the “decision” with respect to the mathematical expectation of...

Stochastic Programming Approach to Multiobjective Optimization Problems with Random Element