Article ID: | iaor20133963 |
Volume: | 74 |
Issue: | 6 |
Start Page Number: | 951 |
End Page Number: | 967 |
Publication Date: | Jun 2013 |
Journal: | Automation and Remote Control |
Authors: | Naumov A, Kibzun A, Norkin V |
Keywords: | control |
We propose an equivalent reduction of the quantile optimization problem with a discrete distribution of random parameters to a partially integer programming problem of large dimension. The number of integer (Boolean) variables in this problem equals the number of possible values for the random parameters vector. The resulting problems can be solved with standard discrete optimization software. We consider applications to quantile optimization of a financial portfolio and show results of numerical experiments.