Mathematical models and methods for Production Systems

links
Content

Media:

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.

Recommendations:

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

Workload:

regular attendance: 42 hours
self-study: 198 hours
Language of instruction English
Bibliography

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
  • Im Wintersemester 2024/2025 ist die Veranstaltung auf maximal 30 Teilnehmer beschränkt.
  • Die Anmeldung erfolgt durch Beitritt zum ILIAS-Kurs und Ausfüllen des Anmeldungsformulars (erforderliche Felder beim Beitritt zum ILIAS-Kurs).
  • Die Anmeldung ist vom 01.09.2024 bis zum 30.09.2024 möglich. Die verfügbaren Plätze werden anschließend vergeben.
  • Die Veranstaltung findet das nächste mal im Sommersemester 2026 statt.

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

Benedikt Schulz