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Visualization of a Set of Pareto Optimal Decisions

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Non-Convex Multi-Objective Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 123))

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Abstract

Applications of optimization methods for optimal design are most efficient when combined with the human engineer’s insight. Visualization is a technique which makes it easier for an engineer to understand the design space and interpret a design found by an optimization algorithm [255]. There are many techniques aimed at visualization of Pareto optimal solutions, especially for the bi-objective problems where a set of solutions, usually referred to as a Pareto front, is a curve in a two-dimensional solution space. The problem of visualization of the sets of optimal decisions is researched not so thoroughly. However, the visualization of a set of Pareto optimal decisions can significantly aid the choice of an appropriate engineering design. In this chapter, we present a case study of a process optimization where the application of a visualization technique was very helpful in the analysis of appropriate design variables.

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Pardalos, P.M., Žilinskas, A., Žilinskas, J. (2017). Visualization of a Set of Pareto Optimal Decisions. In: Non-Convex Multi-Objective Optimization. Springer Optimization and Its Applications, vol 123. Springer, Cham. https://doi.org/10.1007/978-3-319-61007-8_9

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