Multiobjective optimization: fundamentals and an application in demand response
 
 
Description:  In this talk, the fundamental concepts of multiobjective optimization and scalarizing techniques to compute nondominated solutions will be introduced. Scalarizing techniques consist of transforming the original multiobjective problem into a single objective problem that may be solved repeatedly with different parameters. Three main scalarizing techniques (weighted-sums, e-constraint technique and scalarizations based on reference points) will be presented and illustrated using graphical examples with linear, non-linear and integer multiobjective problems.
An application considering a bi-objective mixed-integer linear programming model to optimize demand response in face of dynamic tariffs will be then presented. Electricity time differentiated prices are expected to become a common tariff scheme in smart grids. Consumers react to dynamic tariffs by resetting temperature setpoints and rescheduling appliance operation to profit from lower priced periods, thus balancing the cost and comfort evaluation dimensions. In this work, the minimization of the electricity bill and the minimization of the dissatisfaction associated with changes regarding most preferred settings or time slots are considered.
Date:  2019-12-04
Start Time:   14:30
Speaker:  Maria João Alves (Faculty of Economics, Univ. Coimbra)
Institution:  Faculty of Economics, University of Coimbra
Place:  Sala 5.5
Research Groups: -Numerical Analysis and Optimization
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