Prerequisites

Basic knowledge of probability at the level:

S.M. Ross, Introduction to probability models, 9th edition, Academic Press, 2007 (chapters 1-3).

Aim of the course

To provide insight in the theory of queueing models. The following subjects will be treated:

  • Fundamental queueing relations (Little's law, PASTA property)
  • Markovian queues (M/M/1 queue, M/M/c queue, M/E_r/1 queue)
  • M/G/1 queue and G/M/1 queue
  • Mean value technique
  • Priority queues
  • Variations of the M/G/1 queue
  • Insensitive queues (M/G/c/c queue and M/G/infinity queue)

Lecturers

Dr. J.L. Dorsman, Korteweg-de Vries Institute for Mathematics, University of Amsterdam, j.l.dorsman@uva.nl

Dr. W.R.W. Scheinhardt, Department of Applied Mathematics, University of Twente, w.r.w.scheinhardt@utwente.nl