Visualization of a Set of Pareto Optimal Decisions

Panos M. Pardalos, Antanas Žilinskas and Julius Žilinskas
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Panos M. Pardalos: University of Florida
Antanas Žilinskas: Vilnius University
Julius Žilinskas: Vilnius University

Chapter Chapter 9 in Non-Convex Multi-Objective Optimization, 2017, pp 139-145 from Springer

Abstract: Abstract visualization 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.

Date: 2017
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DOI: 10.1007/978-3-319-61007-8_9

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