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Lecturer(s)
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Course content
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Operational analysis 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 of 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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The main goal of the course is to familiarize students with the terminology and basic mathematical apparatus of Mathematical Programming, especially its important part - Linear Programming as one of the basic disciplines of operational research, acquaint them with the key problems, models, approaches, and clarify methods and their applications in transportation, communication and information systems.
After completing the course the student will have mastered the basic knowledge of operational research disciplines and possibilities of its use when solving optimization problems in transport and logistics systems. The undergraduate masters basic principles of mathematical programming tasks formulation and is able to solve tasks belonging to the area of linear programming manually.
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Prerequisites
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Basic knowledge of discrete mathematics, linear algebra and theory of sets is presumed.
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Assessment methods and criteria
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Oral examination, Written examination
By awarding course credit it is confirmed that the student has fulfilled the required attendance and other qualifying conditions. The conditions for being awarded the course credit are: active work at seminars, 75% attendance, two examination papers. Form, contents and length of the final examination conforms to the Study and Examination Regulations of University of Pardubice. The exam consists of two parts, a written test and a theoretical oral exam. Student passes the written test if he/she obtains at least 50 % of possible number of 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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