{"paper":{"title":"An Exact Algorithm for Mixed-Integer Bilevel Stochastic Problem","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dmytro Matsypura, Tom\\'as Lagos","submitted_at":"2026-06-28T11:21:13Z","abstract_excerpt":"We study a class of mixed-integer bilevel stochastic programs where the leader commits to a first-stage decision before uncertainty is realized, and the follower solves a subsequent mixed-integer optimization problem for each revealed scenario. Due to the hierarchical structure and the presence of discrete variables at both levels, these problems are inherently $\\Sigma_2^p$-hard, making standard single-level reformulations computationally intractable. To address this significant computational challenge, we develop an exact algorithm that combines deterministic value-function reformulations wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29344","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.29344/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}