Solving stochastic programs with complete integer recourse: a framework using Gröbner bases
Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properti...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin-Wilmersdorf
1995
|
Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1995,23 |
Schlagworte: | |
Zusammenfassung: | Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed." |
Beschreibung: | 21 S. graph. Darst. |
Internformat
MARC
LEADER | 00000nam a2200000 cb4500 | ||
---|---|---|---|
001 | BV010624481 | ||
003 | DE-604 | ||
007 | t| | ||
008 | 960220s1995 xx d||| |||| 00||| eng d | ||
035 | |a (OCoLC)34277476 | ||
035 | |a (DE-599)BVBBV010624481 | ||
040 | |a DE-604 |b ger |e rakddb | ||
041 | 0 | |a eng | |
049 | |a DE-12 |a DE-703 | ||
100 | 1 | |a Schultz, Rüdiger |e Verfasser |4 aut | |
245 | 1 | 0 | |a Solving stochastic programs with complete integer recourse |b a framework using Gröbner bases |c Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk |
264 | 1 | |a Berlin-Wilmersdorf |c 1995 | |
300 | |a 21 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1995,23 | |
520 | 3 | |a Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed." | |
650 | 4 | |a Gröbner bases | |
650 | 4 | |a Stochastic programming | |
700 | 1 | |a Stougie, Leen |e Verfasser |4 aut | |
700 | 1 | |a Vlerk, Maarten H. van der |e Verfasser |4 aut | |
830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1995,23 |w (DE-604)BV004801715 |9 1995,23 | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007086441 |
Datensatz im Suchindex
_version_ | 1820882503244709888 |
---|---|
adam_text | |
any_adam_object | |
author | Schultz, Rüdiger Stougie, Leen Vlerk, Maarten H. van der |
author_facet | Schultz, Rüdiger Stougie, Leen Vlerk, Maarten H. van der |
author_role | aut aut aut |
author_sort | Schultz, Rüdiger |
author_variant | r s rs l s ls m h v d v mhvd mhvdv |
building | Verbundindex |
bvnumber | BV010624481 |
classification_rvk | SS 4777 |
ctrlnum | (OCoLC)34277476 (DE-599)BVBBV010624481 |
discipline | Informatik |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010624481</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">960220s1995 xx d||| |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34277476</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010624481</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schultz, Rüdiger</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Solving stochastic programs with complete integer recourse</subfield><subfield code="b">a framework using Gröbner bases</subfield><subfield code="c">Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin-Wilmersdorf</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">21 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1995,23</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gröbner bases</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic programming</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stougie, Leen</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vlerk, Maarten H. van der</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1995,23</subfield><subfield code="w">(DE-604)BV004801715</subfield><subfield code="9">1995,23</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007086441</subfield></datafield></record></collection> |
id | DE-604.BV010624481 |
illustrated | Illustrated |
indexdate | 2025-01-10T17:07:56Z |
institution | BVB |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007086441 |
oclc_num | 34277476 |
open_access_boolean | |
owner | DE-12 DE-703 |
owner_facet | DE-12 DE-703 |
physical | 21 S. graph. Darst. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
record_format | marc |
series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
spelling | Schultz, Rüdiger Verfasser aut Solving stochastic programs with complete integer recourse a framework using Gröbner bases Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk Berlin-Wilmersdorf 1995 21 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1995,23 Abstract: "In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the integer expected recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest possible improvements to economize on the number of function evaluations needed." Gröbner bases Stochastic programming Stougie, Leen Verfasser aut Vlerk, Maarten H. van der Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1995,23 (DE-604)BV004801715 1995,23 |
spellingShingle | Schultz, Rüdiger Stougie, Leen Vlerk, Maarten H. van der Solving stochastic programs with complete integer recourse a framework using Gröbner bases Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Gröbner bases Stochastic programming |
title | Solving stochastic programs with complete integer recourse a framework using Gröbner bases |
title_auth | Solving stochastic programs with complete integer recourse a framework using Gröbner bases |
title_exact_search | Solving stochastic programs with complete integer recourse a framework using Gröbner bases |
title_full | Solving stochastic programs with complete integer recourse a framework using Gröbner bases Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk |
title_fullStr | Solving stochastic programs with complete integer recourse a framework using Gröbner bases Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk |
title_full_unstemmed | Solving stochastic programs with complete integer recourse a framework using Gröbner bases Rüdiger Schultz ; Leen Stougie ; Maarten H. van der Vlerk |
title_short | Solving stochastic programs with complete integer recourse |
title_sort | solving stochastic programs with complete integer recourse a framework using grobner bases |
title_sub | a framework using Gröbner bases |
topic | Gröbner bases Stochastic programming |
topic_facet | Gröbner bases Stochastic programming |
volume_link | (DE-604)BV004801715 |
work_keys_str_mv | AT schultzrudiger solvingstochasticprogramswithcompleteintegerrecourseaframeworkusinggrobnerbases AT stougieleen solvingstochasticprogramswithcompleteintegerrecourseaframeworkusinggrobnerbases AT vlerkmaartenhvander solvingstochasticprogramswithcompleteintegerrecourseaframeworkusinggrobnerbases |