About: Big M method

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In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints. It does so by associating the constraints with large negative constants which would not be part of any optimal solution, if it exists.

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rdf:type	software yago:WikicatOptimizationAlgorithmsAndMethods yago:Abstraction100002137 yago:Act100030358 yago:Activity100407535 yago:Algorithm105847438 yago:Event100029378 yago:Procedure101023820 yago:PsychologicalFeature100023100 yago:YagoPermanentlyLocatedEntity yago:Rule105846932
rdfs:label	Big-M-Methode (de) Método de la Gran M (es) Big M method (en)
rdfs:comment	In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints. It does so by associating the constraints with large negative constants which would not be part of any optimal solution, if it exists. (en) Corresponde a una variación del Algoritmo simplex para penalizar la presencia de variables artificiales mediante la introducción de una constante definida como un valor muy grande. (es) Die Big-M-Methode, kurz M-Methode oder seltener Groß-M-Methode, wird in der linearen Optimierung, einem Hauptverfahren des Operations Research, angewandt. Lineare Programme sind mathematische Systeme von Zielfunktionen und Nebenbedingungen (Restriktionen), die aus Gleichungen und/oder Ungleichungen bestehen können. Insbesondere ist die Big-M-Methode eine generalisierte Form des Simplex-Verfahrens und erlaubt es sowohl Maximierungs- und Minimierungsprobleme zu lösen und zwar mit allen Typen von Restriktionen (Relationszeichen: ). (de)
dcterms:subject	Linear algebra Linear programming
Wikipage page ID	27701374 (xsd:integer)
Wikipage revision ID	1111237191 (xsd:integer)
Link from a Wikipage to another Wikipage	Non-Linear Optimization Karush–Kuhn–Tucker conditions Linear programming Linear algebra Dublin City University Linear programming Operations research Simplex algorithm Slack variable Row reductions dbr:Two_phase_method_(linear_programming)
Link from a Wikipage to an external page	http://businessmanagementcourses.org/Lesson09TheBigMMethod.pdf http://hutchies.iconbar.com/bigm.html http://www.scik.org/index.php/jmcs/article/viewFile/4387/2182.pdf https://link.springer.com/content/pdf/10.1007/s11590-020-01644-6.pdf https://web.archive.org/web/20091122222848/http:/www.computing.dcu.ie/~lkillen/teach/CA427Simplexbigmexample.pdf
sameAs	Big M method Big M method Big M method Big M method Big M method Big M method Big M method
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Expert_needed dbt:Optimization_algorithms
has abstract	Die Big-M-Methode, kurz M-Methode oder seltener Groß-M-Methode, wird in der linearen Optimierung, einem Hauptverfahren des Operations Research, angewandt. Lineare Programme sind mathematische Systeme von Zielfunktionen und Nebenbedingungen (Restriktionen), die aus Gleichungen und/oder Ungleichungen bestehen können. Insbesondere ist die Big-M-Methode eine generalisierte Form des Simplex-Verfahrens und erlaubt es sowohl Maximierungs- und Minimierungsprobleme zu lösen und zwar mit allen Typen von Restriktionen (Relationszeichen: ). Big-M steht zunächst für eine „hinreichend große Zahl“. Ihr genauer Wert hängt von der konkreten Aufgabenstellung ab. (de) In operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm to problems that contain "greater-than" constraints. It does so by associating the constraints with large negative constants which would not be part of any optimal solution, if it exists. (en) Corresponde a una variación del Algoritmo simplex para penalizar la presencia de variables artificiales mediante la introducción de una constante definida como un valor muy grande. (es)
gold:hypernym	Method
prov:wasDerivedFrom	wikipedia-en:Big_M_method?oldid=1111237191&ns=0
page length (characters) of wiki page	4911 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Big_M_method
is Link from a Wikipage to another Wikipage of	List of numerical analysis topics Big m method Karush–Kuhn–Tucker conditions Slack variable
is Wikipage redirect of	Big m method
is foaf:primaryTopic of	wikipedia-en:Big_M_method

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