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'''Multi-objective optimization''' (or programming)<ref>R. E. Steuer. Multiple Criteria Optimization, Theory Computations and
Applications. John Wiley & Sons, Inc., New York, 1986.</ref> <ref> Y. Sawaragi, H. Nakayama, and T. Tanino. Theory of Multiobjective Optimization, vol. 176 of Mathematics in Science and Engineering, Academic Press Inc., Orlando, FL, 1985. </ref> also known as multi-criteria optimization, multi-attribute optimization, is the process of simultaneously optimizing two or more conflicting objectives, subject to certain constraints. Multiobjective optimization problems can be found in various fields: product and process design, finance, aircraft design, oil and gas industry, automobile design, or wherever optimal decisions need to be taken in the presence of trade-off between two conflicting objectives. For example, maximizing profit and minimizing cost of a product; maximizing performance and mimimzing fuel consumption of a vehicle; minimizing weight and maximizing the strength of a particular component, etc. If a multiobjective problem is well formed, there should not be a single solution that simultaneously minimizes each objective to its fullest. In each of these examples, we are looking for a solution for which we know that each objective has been optimized to the extent that if we try to optimize it any further, then the other objective(s) will suffer as a result. Finding such a solution, and quantifying how much better this solution is compared to other such solutions (there will generally be many) is
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