Title
PAINT: Pareto front interpolation for nonlinear multiobjective optimization.
Abstract
A method called PAINT is introduced for computationally expensive multiobjective optimization problems. The method interpolates between a given set of Pareto optimal outcomes. The interpolation provided by the PAINT method implies a mixed integer linear surrogate problem for the original problem which can be optimized with any interactive method to make decisions concerning the original problem. When the scalarizations of the interactive method used do not introduce nonlinearity to the problem (which is true e.g., for the synchronous NIMBUS method), the scalarizations of the surrogate problem can be optimized with available mixed integer linear solvers. Thus, the use of the interactive method is fast with the surrogate problem even though the problem is computationally expensive. Numerical examples of applying the PAINT method for interpolation are included.
Year
DOI
Venue
2012
10.1007/s10589-011-9441-z
Comp. Opt. and Appl.
Keywords
DocType
Volume
Multiobjective optimization,Interactive decision making,Computationally expensive problems,Approximation
Journal
52
Issue
ISSN
Citations 
3
0926-6003
19
PageRank 
References 
Authors
0.71
16
3
Name
Order
Citations
PageRank
Markus Hartikainen1313.36
Kaisa Miettinen2139394.18
Margaret M. Wiecek321322.90