Queueing Theory, 6 credits
Köteori, 6 hp
TNK090
Main field of study
Mathematics Applied Mathematics Transportation Systems EngineeringCourse level
First cycleCourse type
Programme courseExaminer
Johan M KarlssonDirector of studies or equivalent
Erik BergfeldtEducation components
Preliminary scheduled hours: 38 hRecommended self-study hours: 122 h
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 EngineeringCourse level
First cycleAdvancement level
G2XCourse 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
StatisticsIntended 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, 5Department
Institutionen för teknik och naturvetenskapDirector of Studies or equivalent
Erik BergfeldtExaminer
Johan M KarlssonEducation components
Preliminary scheduled hours: 38 hRecommended 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.
Additional literature
Books
ISBN: 9144031033, 9789144031033
Lund : Studentlitteratur, 2003
Note: The course matrix might contain more information in Swedish.
I | U | A | Modules | Comment | ||
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1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
1.1 Knowledge of underlying mathematics and science (G1X level) |
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X
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TEN1
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1.2 Fundamental engineering knowledge (G1X level) |
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X
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1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
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X
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1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
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1.5 Insight into current research and development work |
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2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
2.1 Analytical reasoning and problem solving |
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X
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X
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TEN1
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2.2 Experimentation, investigation, and knowledge discovery |
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2.3 System thinking |
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2.4 Attitudes, thought, and learning |
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X
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TEN1
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2.5 Ethics, equity, and other responsibilities |
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3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
3.1 Teamwork |
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X
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UPG1
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3.2 Communications |
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X
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3.3 Communication in foreign languages |
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4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
4.1 External, societal, and environmental context |
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4.2 Enterprise and business context |
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4.3 Conceiving, system engineering and management |
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4.4 Designing |
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4.5 Implementing |
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4.6 Operating |
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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 |
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5.2 Economic conditions for knowledge development |
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5.3 Identification of needs, structuring and planning of research or development projects |
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5.4 Execution of research or development projects |
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5.5 Presentation and evaluation of research or development projects |
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