A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints

We consider distributionally robust two-stage stochastic linear optimization problems with higher-order (say (Formula presented.) and even possibly irrational) moment constraints in their ambiguity sets. We suggest to solve the dual form of the problem by a semi-infinite programming approach, which...

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Main Authors: Gao, S., Sun, Jie, Wu, S.
Format: Journal Article
Published: Springer Verlag 2016
Online Access:http://purl.org/au-research/grants/arc/DP160102819
http://hdl.handle.net/20.500.11937/52445
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author Gao, S.
Sun, Jie
Wu, S.
author_facet Gao, S.
Sun, Jie
Wu, S.
author_sort Gao, S.
building Curtin Institutional Repository
collection Online Access
description We consider distributionally robust two-stage stochastic linear optimization problems with higher-order (say (Formula presented.) and even possibly irrational) moment constraints in their ambiguity sets. We suggest to solve the dual form of the problem by a semi-infinite programming approach, which deals with a much simpler reformulation than the conic optimization approach. Some preliminary numerical results are reported.
first_indexed 2025-11-14T09:51:46Z
format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:51:46Z
publishDate 2016
publisher Springer Verlag
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spelling curtin-20.500.11937-524452023-06-07T07:46:19Z A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints Gao, S. Sun, Jie Wu, S. We consider distributionally robust two-stage stochastic linear optimization problems with higher-order (say (Formula presented.) and even possibly irrational) moment constraints in their ambiguity sets. We suggest to solve the dual form of the problem by a semi-infinite programming approach, which deals with a much simpler reformulation than the conic optimization approach. Some preliminary numerical results are reported. 2016 Journal Article http://hdl.handle.net/20.500.11937/52445 10.1007/s11590-016-1095-4 http://purl.org/au-research/grants/arc/DP160102819 Springer Verlag fulltext
spellingShingle Gao, S.
Sun, Jie
Wu, S.
A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title_full A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title_fullStr A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title_full_unstemmed A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title_short A semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
title_sort semi-infinite programming approach to two-stage stochastic linear programs with high-order moment constraints
url http://purl.org/au-research/grants/arc/DP160102819
http://hdl.handle.net/20.500.11937/52445