Hilbert bases and the facets of special knapsack polytopes:
Abstract: "Let a set N of items, a capacity F [element of] N and weights a[subscript i] [element of] N, i [element of] N be given. The 0/1 knapsack polytope is the convex hull of all 0/1 vectors that satisfy the inequality [formula]. In this paper we present a linear description of the 0/1 knap...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik Berlin
1994
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| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1994,19 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "Let a set N of items, a capacity F [element of] N and weights a[subscript i] [element of] N, i [element of] N be given. The 0/1 knapsack polytope is the convex hull of all 0/1 vectors that satisfy the inequality [formula]. In this paper we present a linear description of the 0/1 knapsack polytope for the special case where a[subscript i] [element of] [[mu], [lambda]] for all items i [element of] N and 1 [<or =] [mu] <[lambda] [<or =] b are two natural numbers. The inequalities needed for this description involve elements of the Hilbert basis of a certain cone. The principle of generating inequalities based on elements of a Hilbert basis suggests further extensions." |
| Beschreibung: | 25 S. |
Internformat
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| 100 | 1 | |a Weismantel, Robert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hilbert bases and the facets of special knapsack polytopes |c Robert Weismantel |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik Berlin |c 1994 | |
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,19 | |
| 520 | 3 | |a Abstract: "Let a set N of items, a capacity F [element of] N and weights a[subscript i] [element of] N, i [element of] N be given. The 0/1 knapsack polytope is the convex hull of all 0/1 vectors that satisfy the inequality [formula]. In this paper we present a linear description of the 0/1 knapsack polytope for the special case where a[subscript i] [element of] [[mu], [lambda]] for all items i [element of] N and 1 [<or =] [mu] <[lambda] [<or =] b are two natural numbers. The inequalities needed for this description involve elements of the Hilbert basis of a certain cone. The principle of generating inequalities based on elements of a Hilbert basis suggests further extensions." | |
| 650 | 4 | |a Combinatorial optimization | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1994,19 |w (DE-604)BV004801715 |9 1994,19 | |
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Datensatz im Suchindex
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| author | Weismantel, Robert |
| author_facet | Weismantel, Robert |
| author_role | aut |
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| author_variant | r w rw |
| building | Verbundindex |
| bvnumber | BV009766380 |
| ctrlnum | (OCoLC)32423584 (DE-599)BVBBV009766380 |
| format | Book |
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| id | DE-604.BV009766380 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:40:31Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006460994 |
| oclc_num | 32423584 |
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| physical | 25 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Weismantel, Robert Verfasser aut Hilbert bases and the facets of special knapsack polytopes Robert Weismantel Berlin Konrad-Zuse-Zentrum für Informationstechnik Berlin 1994 25 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,19 Abstract: "Let a set N of items, a capacity F [element of] N and weights a[subscript i] [element of] N, i [element of] N be given. The 0/1 knapsack polytope is the convex hull of all 0/1 vectors that satisfy the inequality [formula]. In this paper we present a linear description of the 0/1 knapsack polytope for the special case where a[subscript i] [element of] [[mu], [lambda]] for all items i [element of] N and 1 [<or =] [mu] <[lambda] [<or =] b are two natural numbers. The inequalities needed for this description involve elements of the Hilbert basis of a certain cone. The principle of generating inequalities based on elements of a Hilbert basis suggests further extensions." Combinatorial optimization Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1994,19 (DE-604)BV004801715 1994,19 |
| spellingShingle | Weismantel, Robert Hilbert bases and the facets of special knapsack polytopes Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Combinatorial optimization |
| title | Hilbert bases and the facets of special knapsack polytopes |
| title_auth | Hilbert bases and the facets of special knapsack polytopes |
| title_exact_search | Hilbert bases and the facets of special knapsack polytopes |
| title_full | Hilbert bases and the facets of special knapsack polytopes Robert Weismantel |
| title_fullStr | Hilbert bases and the facets of special knapsack polytopes Robert Weismantel |
| title_full_unstemmed | Hilbert bases and the facets of special knapsack polytopes Robert Weismantel |
| title_short | Hilbert bases and the facets of special knapsack polytopes |
| title_sort | hilbert bases and the facets of special knapsack polytopes |
| topic | Combinatorial optimization |
| topic_facet | Combinatorial optimization |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT weismantelrobert hilbertbasesandthefacetsofspecialknapsackpolytopes |