Tentalabbet

TNK090 · 6 credits · Basic level (G2F) · Matematik, Tillämpad matematik, Transportsystem

Queueing Theory

Active · next start HT 2026

67%

passed the latest ordinary exam

TEN1 · 12 Jan 2026 · 21 students

48%

passed the ordinary exams, all sittings over the last 5 years

TEN1 · 84 students

Unusually easy in 2025/26

67% passed the ordinary exam in 2025/26 (21 students), against 39% on average in earlier years (63 students).

Part of 1 programme

Exam

TEN1 Written examination

  • 5
  • 4
  • 3
  • U

Ordinary exams

48% passed · 84 students

  • 67%21
  • 53%19
  • 25%12
  • 43%21
  • 36%11

Re-exams

26% passed · 57 students

  • 40%5
  • 11%9
  • 0%5
  • 60%5
  • 33%6
  • 13%8
  • 17%12
  • 57%7
  • Pass the re-exam: 26% (57 students), compared with 48% (84 students) on the ordinary exam
  • Get 4 or 5: 16% (141 students)
Show small sittings (3)

Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.

  • 33%3
  • 67%3
  • 67%3

Other modules

Partial exams, hand-ins and labs. They are not part of the figures at the top.

Hand-in or lab

UPG1 Project

  • G
  • U

Main rounds

81% passed · 32 students

  • 100%21
  • 45%11

Later rounds

95% passed · 40 students

  • 100%18
  • 100%16
  • 67%6
  • Pass a later round: 95% (40 students), compared with 81% (32 students) on the ordinary exam
Show small sittings (1)

Sittings with fewer than 5 students, often credit transfers or special sittings. They are not part of any figure on this page.

  • 100%2

About the course

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.

  • 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

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.

Examiner
Johan M Karlsson
Scheduled hours
38 h
Main field of study
Matematik, Tillämpad matematik, Transportsystem
Syllabus on Studieinfo ↗