Title
Multi-objective ordinal optimization for simulation optimization problems
Abstract
Ordinal optimization (OO) has been successfully applied to accelerate the simulation optimization process with single objective by quickly narrowing down the search space. In this paper, we extend the OO techniques to address multi-objective simulation optimization problems by using the concept of Pareto optimality. We call this technique the multi-objective OO (MOO). To define the good enough set and the selected set, we introduce two performance indices based on the non-dominance relationship among the designs. Then we derive several lower bounds for the alignment probability under various scenarios by using a Bayesian approach. Numerical experiments show that the lower bounds of the alignment probability are valid when they are used to estimate the size of the selected set as well as the expected alignment level. Though the lower bounds are conservative, they have great practical value in terms of narrowing down the search space.
Year
DOI
Venue
2007
10.1016/j.automatica.2007.03.011
Automatica
Keywords
Field
DocType
Ordinal optimization,Multi-objective simulation optimization,Pareto optimality,Alignment probability
Mathematical optimization,Upper and lower bounds,Alignment level,Multiobjective programming,Single objective,Ordinal optimization,Optimization problem,Pareto principle,Mathematics,Bayesian probability
Journal
Volume
Issue
ISSN
43
11
Automatica
Citations 
PageRank 
References 
12
0.60
8
Authors
3
Name
Order
Citations
PageRank
Suyan Teng11136.92
Loo Hay Lee2115993.96
Ek Peng Chew345944.07