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  • 2015-2019  (2)
  • 1880-1889  (5)
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  • 1
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    Presolve Reductions in Mixed Integer Programming (2019)
    Details
    Publikationsdatum: 2021-08-05
    Beschreibung: Mixed integer programming has become a very powerful tool for modeling and solving real-world planning and scheduling problems, with the breadth of applications appearing to be almost unlimited. A critical component in the solution of these mixed-integer programs is a set of routines commonly referred to as presolve. Presolve can be viewed as a collection of preprocessing techniques that reduce the size of and, more importantly, improve the ``strength'' of the given model formulation, that is, the degree to which the constraints of the formulation accurately describe the underlying polyhedron of integer-feasible solutions. As our computational results will show, presolve is a key factor in the speed with which we can solve mixed-integer programs, and is often the difference between a model being intractable and solvable, in some cases easily solvable. In this paper we describe the presolve functionality in the Gurobi commercial mixed-integer programming code. This includes an overview, or taxonomy of the different methods that are employed, as well as more-detailed descriptions of several of the techniques, with some of them appearing, to our knowledge, for the first time in the literature.
    Sprache: Englisch
    Materialart: article , doc-type:article
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    OPUS
  • 2
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    Presolve Reductions in Mixed Integer Programming (2016)
    Details
    Publikationsdatum: 2021-08-05
    Beschreibung: Mixed integer programming has become a very powerful tool for modeling and solving real-world planning and scheduling problems, with the breadth of applications appearing to be almost unlimited. A critical component in the solution of these mixed-integer programs is a set of routines commonly referred to as presolve. Presolve can be viewed as a collection of preprocessing techniques that reduce the size of and, more importantly, improve the ``strength'' of the given model formulation, that is, the degree to which the constraints of the formulation accurately describe the underlying polyhedron of integer-feasible solutions. As our computational results will show, presolve is a key factor in the speed with which we can solve mixed-integer programs, and is often the difference between a model being intractable and solvable, in some cases easily solvable. In this paper we describe the presolve functionality in the Gurobi commercial mixed-integer programming code. This includes an overview, or taxonomy of the different methods that are employed, as well as more-detailed descriptions of several of the techniques, with some of them appearing, to our knowledge, for the first time in the literature.
    Sprache: Englisch
    Materialart: reportzib , doc-type:preprint
    Format: application/pdf
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 3
    Digitale Medien
    Digitale Medien
    IX.—On Helix aspersa in California, and the Geographical Distribution of certain West American Land-Snails, and previous errors relating therein. (1882)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 2 (1882), S. 0 
    Details
    ISSN: 1749-6632
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Allgemeine Naturwissenschaft
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1111/j.1749-6632.1882.tb56953.x
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 4
    Digitale Medien
    Digitale Medien
    Nomenclature in Elasticity (1885)
    [s.l.] : Nature Publishing Group
    Nature 32 (1885), S. 316-316 
    Details
    ISSN: 1476-4687
    Quelle: Nature Archives 1869 - 2009
    Thema: Biologie , Chemie und Pharmazie , Medizin , Allgemeine Naturwissenschaft , Physik
    Notizen: [Auszug] THE word stress is used, sometimes in the sense of load, sometimes in that of load per unit area. Clearness, however, requires these two ideas to be kept perfectly distinct, and therefore to be denoted by separate terms. Load is surely expressive enough, or, if not, there is the more ...
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1038/032316a0
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  • 5
    Digitale Medien
    Digitale Medien
    Critical Temperature of Ethylene (1880)
    [s.l.] : Nature Publishing Group
    Nature 23 (1880), S. 186-186 
    Details
    ISSN: 1476-4687
    Quelle: Nature Archives 1869 - 2009
    Thema: Biologie , Chemie und Pharmazie , Medizin , Allgemeine Naturwissenschaft , Physik
    Notizen: [Auszug] M. AMAGAT (Compt. rmd.1 [1879], Ixxxix. p. 437, corrected ' 'Bdblatter [1880], iv. p. 19) has submitted hydrogen, oxygen, nitrogen, air, carbon monoxide, methane, and ethylene at temperatures from 18° to 22° to pressures ranging between 28 and 431 atmospheres, and finds that, except for hydrogen, ...
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1038/023186a0
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 6
    Digitale Medien
    Digitale Medien
    Dynamical Units and Nomenclature (1888)
    [s.l.] : Nature Publishing Group
    Nature 37 (1888), S. 465-465 
    Details
    ISSN: 1476-4687
    Quelle: Nature Archives 1869 - 2009
    Thema: Biologie , Chemie und Pharmazie , Medizin , Allgemeine Naturwissenschaft , Physik
    Notizen: [Auszug] IN his review of Prof. MacGregor's “Kinematics and Dynamics,” on page 361, Prof. Greenhill tilts a lance against those whom he terms mathematical precisionists. I do not know this book, and I hold no brief in its defence; but as I owe to these precisionists whatever clear ideas I have on ...
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1038/037465b0
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 7
    Digitale Medien
    Digitale Medien
    Ueber den Farbstoff des Lac-dye (1887)
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 20 (1887), S. 1285-1303 
    Details
    ISSN: 0365-9496
    Schlagwort(e): Chemistry ; Inorganic Chemistry
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cber.188702001288
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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