prikaz prve stranice dokumenta Linearno programiranje
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master's thesis
Linearno programiranje
2018. urn:nbn:hr:166:508670
Višić, Petra
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Višić, P. (2018). Linearno programiranje (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:508670

Višić, Petra. "Linearno programiranje." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:508670

Višić, Petra. "Linearno programiranje." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:508670

Višić, P. (2018). 'Linearno programiranje', Master's thesis, University of Split, Faculty of Science, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:166:508670

Višić P. Linearno programiranje [Master's thesis]. Split: University of Split, Faculty of Science; 2018 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:166:508670

P. Višić, "Linearno programiranje", Master's thesis, University of Split, Faculty of Science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:508670

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Metadata
TitleLinearno programiranje
Title (english)Linear programming
AuthorPetra Višić
MentorSnježana Braić (mentor)
Committee memberSnježana Braić (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberIvan Jelić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2018-01-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad obrađuje teoriju linearnog programiranja. Na početku je izložena potrebna teorija iz područja linearne algebre: vektorski prostori s posebnim naglaskom na Euklidski prostor Rn, sustavi linearnih jednadžbi i nejednadžbi te traženje njihovih (bazičnih) rješenja. Središnji je dio posvećen samoj definiciji problema linearnog programiranja (u općem, standardnom i kanonskom obliku), pojmu dualnosti i nizu uz to vezanih teorema o egzistenciji (optimalnog) rješenja. Slijede osnove teorije konveksnih skupova i intuitivna grafička metoda. Naposljetku, opisana je najpoznatija metoda rješavanja problema linearnog programiranja - simpleks metoda. Obje su metode ilustrirane odgovarajućim primjerima.
Abstract (english)
This thesis studies the theory of linear programming. The first part gives insight into necessary linear algebra theory: vector spaces (especially Euclidean space Rn), systems of linear equations and inequalities and their solving method. The central part focuses on definition of linear program (in standard, canonical and general form), concept of duality and (optimal) so lution existence theorems. The thesis then presents the basics of convex set theory necessary for following intuitive graphical method. Finally, the best known method for solving linear problems, the simplex method, is demonstra ted. The linear programming solving methods are illustrated with appropriate examples.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:508670
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2018-06-20 14:41:57