Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Methods that can capture evenly distributed solutions along the Pareto frontier are useful for multiresponse optimization problems because they provide a large variety of alternative solutions to the decision maker from among a set of nondominated solutions. Hover, methods often used for optimizing dual and multiple dual response problems have been rarely evaluated in terms of their ability to capture those solutions. This article provides this information by evaluating a global criterion–based method and the popular ighted mean square error method. Convex and nonconvex response surfaces re considered, and results of the methods re compared with those of a lexicographic approach on the basis of two examples from the literature. Regarding the results, it is shown that the user can be successful in capturing Pareto solutions in convex and nonconvex regions using the global criterion–based method. Moreover, it is shown that the starting point affects the distribution of solutions along the Pareto frontier but is not pivotal to obtain a complete representation of the Pareto frontier. For this purpose, it is necessary to decrease the ight increment and to compute for more solutions. Copyright © 2011 John Wiley & Sons, Ltd.
['Nuno Costa', 'João Lourenço', 'Zulema Lopes Pereira']
I am writing a research paper on a idea Multiresponse Optimization and Pareto Frontiers
[{"from": "human", "value": "I am writing a research paper on a idea Multiresponse Optimization and Pareto Frontiers"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Methods that can capture evenly distributed solutions along the Pareto frontier are useful for multiresponse optimization problems because they provide a large variety of alternative solutions to the decision maker from among a set of nondominated solutions. Hover, methods often used for optimizing dual and multiple dual response problems have been rarely evaluated in terms of their ability to capture those solutions. This article provides this information by evaluating a global criterion\u2013based method and the popular ighted mean square error method. Convex and nonconvex response surfaces re considered, and results of the methods re compared with those of a lexicographic approach on the basis of two examples from the literature. Regarding the results, it is shown that the user can be successful in capturing Pareto solutions in convex and nonconvex regions using the global criterion\u2013based method. Moreover, it is shown that the starting point affects the distribution of solutions along the Pareto frontier but is not pivotal to obtain a complete representation of the Pareto frontier. For this purpose, it is necessary to decrease the ight increment and to compute for more solutions. Copyright \u00a9 2011 John Wiley & Sons, Ltd."}]