342-0961/02 – Optimization Methods Principles (POM)

Gurantor department	Institute of Transport	Credits	10
Subject guarantor	doc. Ing. Dušan Teichmann, Ph.D.	Subject version guarantor	doc. Ing. Dušan Teichmann, Ph.D.
Study level	postgraduate	Requirement	Choice-compulsory type B
Year		Semester	winter + summer
		Study language	English
Year of introduction	2019/2020	Year of cancellation
Intended for the faculties	FS	Intended for study types	Doctoral

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
TEI72	doc. Ing. Dušan Teichmann, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Examination	25+0
Part-time	Examination	25+0

Subject aims expressed by acquired skills and competences

Course deals with detail problematics of optimization methods based on a mathematical programming including post-optimization analysis too.

Teaching methods

Lectures
Individual consultations
Other activities

Summary

Course includes linear programming methods with one and more criteria, fuzzy linear programming methods, nonlinear programming methods, dynamic programming methods, compromis, composit and goal programming methods.

Compulsory literature:

BELLMANN, R., E.: Applied Dynamic programming. Princeton University Press, 2016. ISBN 978-06-916-2542-3 JONES, D.; TAMIZ, M.: Practical Goal Programming. London: Springer, 2010. ISBN 978-1-4419-5770-2 KAUR, J.; KUMAR, A.: An Introduction to Fuzzy Linear Programming Problems. Springer, 2016. ISBN 978-3-319-31274-3 SINHA, S., M.: Mathematical Programming - Theory and Methods. Elsevier, 2005. ISBN 978-00-805-3593-7 SHIMIZU, K.; ISHIZUKA, Y.; JONATHAN, F.: Nondifferentiable and Two-Level Mathematical Programming. Springer, 1997. ISBN 978-1-4615-6305-1

Recommended literature:

APT, K., R.: Principles of Constraint Programming. Cambridge University Press, 2003. ISBN 978-05-211-2549-9 FAIGLE, U.; KERN, W.; STILL, G.: Algorithmic Principles of Mathematical Programming. Springer, 2002. ISBN 978-14-020-0852-8 NOVÁK, V.; PERFILIEVA, I.; MOČKOŘ, J.: Mathematical Principles of Fuzzy Logic. Boston: Kluwer Academic Publishers, 1999. ISBN 978-1-4615-5217-8

Additional study materials

Study supports in the EduDocs system

Way of continuous check of knowledge in the course of semester

Oral examination.

E-learning

Other requirements

Semestral project on the defined topic and its presentation before examiner.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Linear programming methods for solving problems with one objective value 2. Fuzzy lineární programování. 3. Linear programming methods for solving problems with more objective values. 4.-5. Nonlinear programming methods with one objective value. 6. Transformation nonlinear models methods. 7. Two-level mathematical programming methods. 8. Dynamic programming methods. 9. Compromis programming methods. 10. Constraint Programming. 11. Goal programming methods.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Examination	Examination			3

Mandatory attendence participation:

Show history

Conditions for subject completion and attendance at the exercises within ISP:

Show history

Occurrence in study plans

Academic year	Programme	Form	Study language	Tut. centre	Type of duty
2024/2025	(P1041D040005) Transport Systems	K	English	Ostrava	Choice-compulsory type B	study plan
2024/2025	(P1041D040005) Transport Systems	P	English	Ostrava	Choice-compulsory type B	study plan
2023/2024	(P1041D040005) Transport Systems	P	English	Ostrava	Choice-compulsory type B	study plan
2023/2024	(P1041D040005) Transport Systems	K	English	Ostrava	Choice-compulsory type B	study plan
2022/2023	(P1041D040005) Transport Systems	K	English	Ostrava	Choice-compulsory type B	study plan
2022/2023	(P1041D040005) Transport Systems	P	English	Ostrava	Choice-compulsory type B	study plan
2021/2022	(P1041D040005) Transport Systems	K	English	Ostrava	Choice-compulsory type B	study plan
2021/2022	(P1041D040005) Transport Systems	P	English	Ostrava	Choice-compulsory type B	study plan
2020/2021	(P1041D040005) Transport Systems	K	English	Ostrava	Choice-compulsory type B	study plan
2020/2021	(P1041D040005) Transport Systems	P	English	Ostrava	Choice-compulsory type B	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.