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arxiv: 2506.12753 · v1 · pith:6U3ESNOV · submitted 2025-06-15 · math.OC

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

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classification math.OC
keywords methodstochasticdecision-dependentl-shapedproblemsprogramsuncertaintycuts
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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.

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