Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology

In this paper we discuss the robust counterpart (RC) methodology to handle the optimization under uncertainty problem as proposed by Ben-Tal and Nemirovskii. This optimization methodology incorporates the uncertain data in U a so-called uncertainty set and replaces the uncertain problem by its so-ca...

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Main Authors: Diah Chaerani, Cornelis Roos
Format: Article
Language:English
Published: Petra Christian University 2013-01-01
Series:Jurnal Teknik Industri
Subjects:
Online Access:http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18848
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author Diah Chaerani
Cornelis Roos
author_facet Diah Chaerani
Cornelis Roos
author_sort Diah Chaerani
collection DOAJ
description In this paper we discuss the robust counterpart (RC) methodology to handle the optimization under uncertainty problem as proposed by Ben-Tal and Nemirovskii. This optimization methodology incorporates the uncertain data in U a so-called uncertainty set and replaces the uncertain problem by its so-called robust counterpart. We apply the RC approach to uncertain Conic Optimization (CO) problems, with special attention to robust linear optimization (RLO) problem and include a discussion on parametric uncertainty for that case. Some new supported examples are presented to give a clear description of the used of  RC methodology theorem.
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spelling doaj.art-22d67b3572674ab6929c52bb31fbf0d42022-12-22T03:56:10ZengPetra Christian UniversityJurnal Teknik Industri1411-24852013-01-01152111118Handling Optimization under Uncertainty Problem Using Robust Counterpart MethodologyDiah Chaerani0Cornelis Roos1 Faculty of Mathematics and Natural Sciences, Department of Mathematik, Universitas Padjadjaran, Jl. Raya Bandung Sumedang KM. 21, Jatinagor Sumedang 45363 Algorithm Group, Delft University of Technology, Mekelweg 4, 2528 CD Delft In this paper we discuss the robust counterpart (RC) methodology to handle the optimization under uncertainty problem as proposed by Ben-Tal and Nemirovskii. This optimization methodology incorporates the uncertain data in U a so-called uncertainty set and replaces the uncertain problem by its so-called robust counterpart. We apply the RC approach to uncertain Conic Optimization (CO) problems, with special attention to robust linear optimization (RLO) problem and include a discussion on parametric uncertainty for that case. Some new supported examples are presented to give a clear description of the used of  RC methodology theorem.http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18848Optimizationuncertaintyconicrobust counterpart
spellingShingle Diah Chaerani
Cornelis Roos
Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
Jurnal Teknik Industri
Optimization
uncertainty
conic
robust counterpart
title Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
title_full Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
title_fullStr Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
title_full_unstemmed Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
title_short Handling Optimization under Uncertainty Problem Using Robust Counterpart Methodology
title_sort handling optimization under uncertainty problem using robust counterpart methodology
topic Optimization
uncertainty
conic
robust counterpart
url http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18848
work_keys_str_mv AT diahchaerani handlingoptimizationunderuncertaintyproblemusingrobustcounterpartmethodology
AT cornelisroos handlingoptimizationunderuncertaintyproblemusingrobustcounterpartmethodology