Due to the importance of coastal areas, is of the highest interest to implement purification systems that with minimum cost are able to assure water quality standards in agreement with the regional legislations. This ...
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Due to the importance of coastal areas, is of the highest interest to implement purification systems that with minimum cost are able to assure water quality standards in agreement with the regional legislations. This work addresses the optimal design (outfall locations) and optimal operation (level of oxygen discharges) of a wastewater treatment system. This problem can be mathematically formulated as a two-objective mixed design and optimal control problem with constraints on the states and the design and control variables. The two-objective problem is formulated as a single-objective problem through the use of the weighted sum method. The existence of the optimal solution is then demonstrated for an arbitrary set of weights and a first order optimality condition is obtained to characterize that solution. The numerical solution for a realistic case study posed in the ria of Vigo is also accomplished by using the combination of the control vector parametrization approach with a global non-linear programming (NLP) solver. Remark that, as the problem under consideration is two-objective, there is not an unique solution but a set of equivalent solutions, the Pareto solutions, requiring the involvement of a decision maker to select one solution from the set. (C) 2008 IMACS. Published by Elsevier B.V. All rights reserved.
multi-objective Evolutionary Algorithm (MOEA) is used to solve multi-objective optimization problems (MOOPs). In order to improve the efficiency of MOEA, a fast method of constructing non-dominated set called Arena...
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multi-objective Evolutionary Algorithm (MOEA) is used to solve multi-objective optimization problems (MOOPs). In order to improve the efficiency of MOEA, a fast method of constructing non-dominated set called Arena' s Principle is suggested. The time complexity of the Arena's Principle is better than that of Deb's and Jensen's on constructing non-dominated set. In the experiments, Arena's Principle is compared with Deb' and Jensen's approach. It is shown that the experimental results satisfy the theoretical analysis.
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