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Event

Mathematical models and methods for Production Systems [WS232117059]

Type
lecture/exercise (VÜ)
Präsenz
Term
WS 23/24
SWS
4
Language
Englisch
Appointments
15
Links
ILIAS

Lecturers

Organisation

  • KIT-Fakultät für Maschinenbau

Part of

Literature

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.

Appointments

  • 26.10.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 02.11.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 09.11.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 16.11.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 23.11.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 30.11.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 07.12.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 14.12.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 21.12.2023 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 11.01.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 18.01.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 25.01.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 01.02.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 08.02.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22
  • 15.02.2024 09:45 - 13:00 - Room: 50.38 Raum 0.22

Note

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