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Multi objective optimization also known as multi objective programming vector optimization multicriteria optimization multiattribute optimization or pareto optimization is an area of multiple criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously multi objective optimization has been multicriteria optimization physics research mass general hospital the result is that our pocs based solver is orders of magnitude faster and more memory efficient than commercial convex solvers applied to the radiotherapy problem and this results in very fast database generationdecision makers in many areas from industry to engineering and the social sector face an increasing need to consider multiple conflicting objectives in their decision processes in many cases these real world decision problems can be formulated as multicriteria mathematical optimization models the solution of such models requires appropriate techniques to compute so called efficient or planning is one of the most important things in radiation oncology because you want to treat the tumor right and you dont want to give a high dose to the normal tissue multi criteria optimization in raystation allows us to balance the clinical trade offs in real time to reach a more personalized treatment plan for the patientmuch has happened in multicriteria optimization since the publication of the rst edition of this book too much in fact for all the contributions in the eld to be reected in this new edition which after all is intended to be a textbook for a course on multicriteria optimization areas which have

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