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Autori principali: Cornielje, Emma, Markhorst, Berend, Zocca, Alessandro, van der Mei, Rob
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2603.01733
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author Cornielje, Emma
Markhorst, Berend
Zocca, Alessandro
van der Mei, Rob
author_facet Cornielje, Emma
Markhorst, Berend
Zocca, Alessandro
van der Mei, Rob
contents Solving large two-stage stochastic mixed-integer programs is computationally challenging. We propose LOTUS, a subset-based warm-start framework that enhances Dual Decomposition under fixed time budgets. By initializing the dual search with informed multipliers, LOTUS accelerates primal convergence and partially alleviates the impact of weak LP relaxations. Through an extensive computational study on production planning instances, we show that, within two hours, LOTUS yields significantly better primal solutions in 45.83% of cases, while being outperformed by Dual Decomposition in only 4.17%.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01733
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle LOTUS: A Warm-Start Framework for Powering Dual Decomposition in Large-Scale Two-Stage Stochastic Programs
Cornielje, Emma
Markhorst, Berend
Zocca, Alessandro
van der Mei, Rob
Optimization and Control
Solving large two-stage stochastic mixed-integer programs is computationally challenging. We propose LOTUS, a subset-based warm-start framework that enhances Dual Decomposition under fixed time budgets. By initializing the dual search with informed multipliers, LOTUS accelerates primal convergence and partially alleviates the impact of weak LP relaxations. Through an extensive computational study on production planning instances, we show that, within two hours, LOTUS yields significantly better primal solutions in 45.83% of cases, while being outperformed by Dual Decomposition in only 4.17%.
title LOTUS: A Warm-Start Framework for Powering Dual Decomposition in Large-Scale Two-Stage Stochastic Programs
topic Optimization and Control
url https://arxiv.org/abs/2603.01733