Computers & Chemical Engineering, Vol.35, No.11, 2521-2539, 2011
Risk conscious solution of planning problems under uncertainty by hybrid multi-objective evolutionary algorithms
We consider the risk conscious solution of planning problems with uncertainties in the problem data. The problems are formulated as two-stage stochastic mixed-integer models in which some of the decisions (first-stage) have to be made under uncertainty and the remaining decisions (second-stage) can be made after the realization of the uncertain parameters. The uncertain model parameters are represented by a finite set of scenarios. The risk conscious optimization problem under uncertainty is solved by a stage decomposition approach using a multi-objective evolutionary algorithm which optimizes the expected scenario costs and the risk criterion with respect to the first-stage decisions. The second-stage scenario decisions are handled by mathematical programming. Results from numerical experiments for two real-world problems are shown. (C) 2011 Elsevier Ltd. All rights reserved.
Keywords:Planning under uncertainty;Risk conscious planning;Stage decomposition;Hybrid algorithm;Multi-objective evolutionary algorithm