| TNK090 |
Queueing Theory, 6 ECTS credits.
/Köteori/
For:
KTS
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Prel. scheduled
hours: 38
Rec. self-study hours: 122
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Area of Education: Science
Main field of studies: Mathematics, Applied Mathematics, Transportation Systems Engineering
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Advancement level
(G1, G2, A): G2
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Aim:
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
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Statistics
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
The teaching consists of seminars and tutorials.
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Course contents:
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.
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Course literature:
Köteori, Ulf Körner, Studentlitteratur, ISBN 978-91-44-03103-3
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Examination: |
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Written examination
Project assignments
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4 ECTS
2 ECTS
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Course language is Swedish.
Department offering the course: ITN.
Director of Studies: Erik Bergfeldt
Examiner: Johan M Karlsson
Link to the course homepage at the department
Course Syllabus in Swedish
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