Lecturer(s)
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Brázdová Markéta, Ing. Ph.D.
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Course content
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Operational analyzis in general, disciplines of OA, mathematical programming and its part - linear programming. Mathematical basics of discipline, linear algebra, systems of linear equations and inequalities, methods of solution, vectors and vectors space, convex sets. Typical patterns of linear programming tasks, areas of use. Design of mathematical models. Attributes a canonical form of linear programming task,
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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 of 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
Given assignment confirms that a student has attended lessons to the extent required and fulfilled qualified requirements. Conditions for credit are: active work at exercises, min. 75% presence, 2 examination papers, student passes if he/she obtains 50 points of 100 possible. Form, contents and length of the exam is determined in accordance with Study and Examining Rules of University of Pardubice. The exam consists of two parts, a written test and a theoretical exam. Student passes successfully the written test as well as the theoretical part of the exam if he/she obtains at minimum 50% of possible points in each part.
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Recommended literature
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Dantzig, George B. Linear programming.. New York: Springer-Verlag, 1997. ISBN 0-387-94833-3.
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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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Jablonský, Josef. Operační výzkum : kvantitativní modely pro ekonomické rozhodování. Praha: Professional Publishing, 2002. ISBN 80-86419-23-1.
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Linda, Bohdan. Lineární programování. Pardubice: Univerzita Pardubice, 2007. ISBN 978-80-7395-038-5.
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Makower, M. S., Williamson, E. Základy operačnej analýzy. ALFA: Bratislava, 1970. ISBN 63-091-70.
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