Queueing Theory, 6 credits

Köteori, 6 hp

TNK090

Course starting semester

Main field of study

Mathematics Applied Mathematics Transportation Systems Engineering

Course level

First cycle

Course type

Programme course

Examiner

Johan M Karlsson

Director of studies or equivalent

Erik Bergfeldt

Education components

Preliminary scheduled hours: 38 h
Recommended self-study hours: 122 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	1	Swedish	Norrköping, Norrköping	C

Main field of study

Mathematics, Applied Mathematics, Transportation Systems Engineering

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

Statistics

Intended learning outcomes

The aim of the course is give a working knowledge of queuing models, a description of the underlying theory and examples of their applications in the area of communication and transport.

By the end of the course, the student is expected to:

construct models in discrete and continuous time based on Markov Chains
describe and explain the theory of Markov Chains
describe and motivate Little's formula and its applications
describe and analyze basic Markov queuing models and situations to which they may be applied
apply Markov models for selected applications
construct and analyze priority queuing systems
describe networks of queuing systems

Course content

The Poisson process, Discrete time and continuous time Markov Chains. Markov queuing systems: one server, several servers, finite and infinite carrying capacity, Markovian queuing systems, networks of queuing systems, M/M/, M/M/m, M/G/1 systems, Theory and methods applied to applications in communication, traffic and transport systems.

Teaching and working methods

The teaching consists of seminars and tutorials.

Examination

UPG1	Project	2 credits	U, G
TEN1	Written examination	4 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

Johan M Karlsson

Education components

Preliminary scheduled hours: 38 h
Recommended self-study hours: 122 h

Course literature

Additional literature

Books

Körner, Ulf, (2003) Köteori
ISBN: 9144031033, 9789144031033
Lund : Studentlitteratur, 2003

Code	Name	Scope	Grading scale
UPG1	Project	2 credits	U, G
TEN1	Written examination	4 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)

Course literature is preliminary.

Additional literature

Books

Körner, Ulf, (2003) Köteori

ISBN: 9144031033, 9789144031033

Lund : Studentlitteratur, 2003

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)	X
	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	TEN1
	2.2 Experimentation, investigation, and knowledge discovery
	2.3 System thinking
	2.4 Attitudes, thought, and learning		X	TEN1
	2.5 Ethics, equity, and other responsibilities
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork		X	UPG1
	3.2 Communications		X
	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
	4.2 Enterprise and business context
	4.3 Conceiving, system engineering and management
	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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