Skip to main content
Till KTH:s startsida

EP2930 Queuing Theory 7.5 credits

Administer About course

Information per course offering

Course offerings are missing for current or upcoming semesters.

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus EP2930 (Autumn 2007–)
Headings with content from the Course syllabus EP2930 (Autumn 2007–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

No information inserted

Intended learning outcomes

  • Stochastic processes. Markov chains in discrete and continuous time. Chapman -Kolmogorov equations. Stationary probabilities. Poisson process. Birth-death processes.
  • Basic concepts in queuing theory. Little’s theorem.
  • Arrival processes and service time. Queuing disciplines. Stationary probabilities. Offered load (traffic). Blocked load. Effective load. Utilization. Blocking probability.
  • Markovian wait systems.
  • M/M/m: Queueing system with m servers, infinite number of waiting positions and infinite number of customers.
  • M/M/m/K: Queueing system with m servers, limited number (=K) waiting positions and infinite number of customers.
  • M/M/m/K/C: Queueing system with m servers, limited number (=K) waiting positions and limited number of customers (=C).
  • Markovian loss systems: Erlang´s loss system, Engset’s loss system, Binomial (Bernoulli’s ) loss system
  • Semi-markovian M/G/1 and G/M/1 queueing systems. Pollaczek-Khinchin formula .
  • Survey on open and closed Jackson queuing networks

Literature and preparations

Specific prerequisites

No information inserted

Literature

To be announced at course start. Last time the following books were used:
Ng Cheee Hock: QUEUEING MODELLING FUNDAMENTALS,
John Wiley & Sons LTD

Examination and completion

Grading scale

A, B, C, D, E, FX, F

Examination

  • RED1 - Assignment, 3.0 credits, grading scale: P, F
  • TEN1 - Examination, 4.5 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

If the course is discontinued, students may request to be examined during the following two academic years.

Other requirements for final grade

Passed exams:
TEN1, (4.5 ECTS Cr.), grading: A/B/C/D/E/Fx/F
Passed lab work
RED1, (3 ECTS Cr.), grading: failed, passed

Examiner

No information inserted

Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

EES/Network and Systems Engineering

Main field of study

Electrical Engineering

Education cycle

Second cycle