eprintid: 4962 rev_number: 25 eprint_status: archive userid: 351 dir: disk0/00/00/49/62 datestamp: 2016-01-15 02:07:54 lastmod: 2021-08-27 17:15:46 status_changed: 2016-01-15 02:07:54 type: monograph metadata_visibility: show item_issues_count: 3 creators_name: Norkin, V.I. creators_name: Pflug, G.C. creators_name: Ruszczynski, A. creators_id: AL1055 creators_id: 1361 creators_id: 1475 creators_orcid: 0000-0001-8215-3550 title: A Branch and Bound Method for Stochastic Global Optimization ispublished: pub internal_subjects: iis_met divisions: prog_opt abstract: A stochastic version of the branch and bound method is proposed for solving stochastic global optimization problems. The method, instead of deterministic bounds, uses stochastic upper and lower estimates of the optimal value of subproblems, to guide the partitioning process. Almost sure convergence of the method is proved and random accuracy estimates derived. Methods for constructing random bounds for stochastic global optimization problems are discussed. The theoretical considerations are illustrated with an example of a facility location problem. date: 1996-06 date_type: published publisher: WP-96-065 iiasapubid: WP-96-065 price: 10 creators_browse_id: 2245 creators_browse_id: 229 creators_browse_id: 1544 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 29 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Norkin, V.I. , Pflug, G.C. ORCID: https://orcid.org/0000-0001-8215-3550 , & Ruszczynski, A. (1996). A Branch and Bound Method for Stochastic Global Optimization. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-065 document_url: https://pure.iiasa.ac.at/id/eprint/4962/1/WP-96-065.pdf