Mathematical models and methods for Production Systems



black board, lecture notes, presentations

Learning Content:

  • single server systems: M/M/1, M/G/1: priority rules, model of failures
  • networks: open and closed approximations, exact solutions and approximations
  • application to flexible manufacturing systems, AGV (automated guided vehicles) - systems
  • modeling of control approaches like constant work in process (ConWIP) or kanban
  • discrete-time modeling of queuing systems

Learning Goals:

Students are able to:

  • Describe queueing systems with analytical solvable stochastic models,
  • Derive approches for modeling and controlling material flow and production systems based on models of queueing theory,
  • Use simulation and exakt methods.


  • Basic knowledge of statistic
  • recommended compusory optional subject: Stochastics
  • recommended lecture: Materials flow in logistic systems (also parallel)


regular attendance: 42 hours
self-study: 198 hours

Language of instruction English

Ronald W. Wolff (1989) Stochastic Modeling and the Theory of Queues, Englewood Cliffs, NJ : Prentice-Hall.
John A. Buzacott, J. George Shanthikumar (1993) Stochastic Models of Manufacturing Systems, Upper Saddle River, NJ : Prentice Hall.

Organisational issues
  • In winter term 2023/2024, the lecture is limited to a maximum of 30 participants.
  • The application for this course is possible from 01.09.2023 to 30.09.2023.
  • You can apply by joining the corresponding ILIAS course and filling in the provided application form (required fields of ILIAS course registration).

Lecture Notes

All documents are published on ILIAS.

Examination Date

The oral examination takes place at the end of the winter term. Detailed Information will be given in the course and on ILIAS.

Contact Person