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  • 2015-2019  (2)
  • 1890-1899  (5)
  • 1
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    Presolve Reductions in Mixed Integer Programming (2019)
    Details
    Publication Date: 2021-08-05
    Description: 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.
    Language: English
    Type: article , doc-type:article
    Library Location Call Number Volume/Issue/Year Availability
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    OPUS
  • 2
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    Presolve Reductions in Mixed Integer Programming (2016)
    Details
    Publication Date: 2021-08-05
    Description: 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.
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Library Location Call Number Volume/Issue/Year Availability
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    OPUS
  • 3
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    The Future of Gold (1895)
    Boston, Mass., etc. : Periodicals Archive Online (PAO)
    The North American Review. 160 (1895:Jan./June) 38 
    Details
    ISSN: 0029-2397
    Topics: English, American Studies , History
    URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pao:&rft_dat=xri:pao:article:3197-1895-160-00-000064
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Clausius' Virial Theorem (1895)
    [s.l.] : Nature Publishing Group
    Nature 52 (1895), S. 569-569 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] COLONEL BASEVI'S criticisms of Clausius' virial theorem are not justifiable. In the first place, the left-hand side of his equation at the foot oof p. 413 should be ux - [ujc]t=o, since the latter term is not 'necessarily zero even for periodic motion; e.g. it equals I if x - exp. (sin ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/052569a0
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Prof. Van der Waals on the Continuity of the Liquid and Gaseous States (1891)
    [s.l.] : Nature Publishing Group
    Nature 43 (1891), S. 487-488 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] WITH regard to Mr. Bottomley's criticism, I should like to add to what Prof. Rücker has said that Prof. Van der Waals's book is not in any sense a treatise on the continuity of the liquid and gaseous states, but a thesis wherein is put forward the author's own work on which he claims a doctor's ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/043487e0
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Ueber neue Farbstoffe der Anthrachinonreihe (1891)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 43 (1891), S. 237-246 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.18910430127
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    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Beiträge zur Kenntniss der Alizarinsulfosäuren und der Ueberführung der Anthrachinon-α- und β-Disulfosäure in Flavo- und Anthrapurpurin (1891)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 43 (1891), S. 232-237 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.18910430126
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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