Optimization and System Analysis, 6 credits

Optimering och systemanalys, 6 hp

TNK047

Course starting semester

Main field of study

Mathematics Applied Mathematics

Course level

First cycle

Course type

Programme course

Examiner

Joakim Ekström

Director of studies or equivalent

Erik Bergfeldt

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6CKTS	Communication and Transportation Engineering, M Sc in Engineering	5 (Autumn 2017)	1, 2	4, 4	Swedish	Norrköping, Norrköping	C

Main field of study

Mathematics, Applied Mathematics

Course level

First cycle

Advancement level

G2X

Course offered for

Communication and Transportation Engineering, M Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Linear algebra, Optimization,Statistics and probability.

Intended learning outcomes

The course aims at further insight in modelling and optimization of decision problems. Models for decision analysis is analyzed, including models and methods for optimization problems with discrete variables and for problems from game theory. The students can, after the completion of the course, formulate basic models in decision analysis - solve and analyze the formulated models - apply the analysis to practical problems.

Course content

The contents of the course cover mathematical modelling and solution methods. Great weight is given to modelling of problems in decision analysis. Some weight is given to solution techniques for discrete optimization problems. The discussed model types include discrete optimization, and game models. Solution algorithms for these problem types are developed based on the methods and algorithms in the basic optimization course.

Teaching and working methods

Lectures, exercises and laboratory work.

Examination

LAB1	Laboratory work	3 credits	U, G
TEN1	Written examination	3 credits	U, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för teknik och naturvetenskap

Director of Studies or equivalent

Erik Bergfeldt

Examiner

Joakim Ekström

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Course literature

Additional literature

Books

H.A. Eiselt och C.-L.Sandblom, Springer, Decision Analysis, Location Models, and Sceduling Problems
ISBN: 3-540-40338-8
Black, Ken, (1994) Business statistics : contemporary decision making
ISBN: 0314027882
Minneapolis/Saint Paul : West, 1994
Lundgren, Jan, Rönnqvist, Mikael, Värbrand, Peter, (2008) Optimeringslära
ISBN: 9789144053141
Lund : Studentlitteratur, 2008

Code	Name	Scope	Grading scale
LAB1	Laboratory work	3 credits	U, G
TEN1	Written examination	3 credits	U, 3, 4, 5

Regulations (apply to LiU in its entirety)

The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Additional literature

Books

H.A. Eiselt och C.-L.Sandblom, Springer, Decision Analysis, Location Models, and Sceduling Problems

ISBN: 3-540-40338-8

Black, Ken, (1994) Business statistics : contemporary decision making

ISBN: 0314027882

Minneapolis/Saint Paul : West, 1994

Lundgren, Jan, Rönnqvist, Mikael, Värbrand, Peter, (2008) Optimeringslära

ISBN: 9789144053141

Lund : Studentlitteratur, 2008

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)		X	TEN1
	1.2 Fundamental engineering knowledge (G1X level)		X
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
	1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
	1.5 Insight into current research and development work
2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
	2.1 Analytical reasoning and problem solving	X	X	LAB1 TEN1
	2.2 Experimentation, investigation, and knowledge discovery	X	X	LAB1 TEN1
	2.3 System thinking	X	X	LAB1
	2.4 Attitudes, thought, and learning		X	LAB1
	2.5 Ethics, equity, and other responsibilities
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork		X	LAB1
	3.2 Communications
	3.3 Communication in foreign languages
4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
	4.1 External, societal, and environmental context	X	X	LAB1 TEN1
	4.2 Enterprise and business context	X	X	LAB1
	4.3 Conceiving, system engineering and management	X	X	LAB1
	4.4 Designing
	4.5 Implementing
	4.6 Operating
5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
	5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
	5.2 Economic conditions for knowledge development
	5.3 Identification of needs, structuring and planning of research or development projects
	5.4 Execution of research or development projects
	5.5 Presentation and evaluation of research or development projects

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