Queueing Theory, 6 credits (TNK090)

Köteori, 6 hp

Main field of study

Mathematics Applied Mathematics Transportation Systems Engineering

Level

First cycle

Course type

Programme course

Examiner

Johan M Karlsson

Director of studies or equivalent

Erik Bergfeldt
Course offered for Semester Period Timetable module Language Campus VOF
6CKTS Communication and Transportation Engineering, M Sc in Engineering 5 (Autumn 2017) 1 1 Swedish Norrköping o

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

TEN1Written examinationU, 3, 4, 54 credits
UPG1ProjectU, G2 credits

Grades

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

Department

Inst f teknik och naturvetenskap (Nkpg)

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

Additional literature

Books

Körner, Ulf, (2003) Köteori

ISBN: 9144031033,9789144031033

Lund : Studentlitteratur, 2003

TEN1 Written examination U, 3, 4, 5 4 credits
UPG1 Project U, G 2 credits

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. 

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