The L-Shaped Method for Stochastic Programs with Decision-Dependent Uncertainty

Fuente: arXiv
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Autori principali: Pantuso, Giovanni, Hewitt, Mike
Natura: Preprint
Pubblicazione: 2025
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author Pantuso, Giovanni
Hewitt, Mike
author_facet Pantuso, Giovanni
Hewitt, Mike
contents In this paper we extend the well-known L-Shaped method to solve two-stage stochastic programming problems with decision-dependent uncertainty. The method is based on a novel, unifying, formulation and on distribution-specific optimality and feasibility cuts for both linear and integer stochastic programs. Extensive tests on three production planning problems illustrate that the method is extremely effective on large-scale instances.
format Preprint
id arxiv_https___arxiv_org_abs_2506_12753
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The L-Shaped Method for Stochastic Programs with Decision-Dependent Uncertainty
Pantuso, Giovanni
Hewitt, Mike
Optimization and Control
In this paper we extend the well-known L-Shaped method to solve two-stage stochastic programming problems with decision-dependent uncertainty. The method is based on a novel, unifying, formulation and on distribution-specific optimality and feasibility cuts for both linear and integer stochastic programs. Extensive tests on three production planning problems illustrate that the method is extremely effective on large-scale instances.
title The L-Shaped Method for Stochastic Programs with Decision-Dependent Uncertainty
topic Optimization and Control
url https://arxiv.org/abs/2506.12753