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Lecturer(s)
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Brázdová Markéta, Ing. Ph.D.
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Course content
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Mathematical modeling. Characteristic of operation research. Creation of mathematical models. Grafical method of solution. Basic terms of linear programming. Simplex method - single-phase, two-phase. Variants of results. Problem of duality. Transport problem. Assigmment problem.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Demonstration, Projection, Skills training
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Learning outcomes
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Acquaint students with basic methods of operational research, teach them to design models of linear programming for basic types of problems.
By passing the subject student disposes the basic knowledge of operational research disciplines and possibilities of its use whithin solution of optimization problems in transport and logistics systems. Undergraduate masters basic principles of mathematical programming tasks formulation and is able manualy solve tasks belonging into the area of linear programming.
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Prerequisites
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Basic knowledge from discrete mathemetics, linear algebra and theory of sets is presumed.
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Assessment methods and criteria
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Oral examination, Written examination
During the semestr and at the final examination the student has to prove that he/she is well informed about the operation research and understands the explained subject matter. The tutor will notify the concrete requirements.
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Recommended literature
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Brázdová, Markéta. Řešené úlohy lineárního programování. Pardubice, 2011. ISBN 978-80-7395-361-4.
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Dantzig, George B. Linear programming.. New York: Springer-Verlag, 2003. ISBN 0-387-98613-8.
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Gass, S. I. Linear Programming, Methods and Applications, Dover Publications, Inc.,. 2003.
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Linda, Bohdan. Lineární programování. Pardubice: Univerzita Pardubice, 2007. ISBN 978-80-7395-038-5.
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