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Event

Mathematical models and methods for Production Systems [WS202117059]

Type
lecture (V)
Präsenz
Term
WS 20/21
SWS
4
Language
Englisch
Appointments
14
Links
ILIAS

Lecturers

Organisation

  • KIT-Fakultät für Maschinenbau

Part of

Literature

Wolff: Stochastic Modeling and the Theory of Queues, Prentice Hall, 1989
Shanthikumar, Buzacott: Stochastic Models of Manufacturing Systems

Appointments

  • 05.11.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 12.11.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 19.11.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 26.11.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 03.12.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 10.12.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 17.12.2020 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 07.01.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 14.01.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 21.01.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 28.01.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 04.02.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 11.02.2021 14:00 - 17:30 - Room: 50.38 Raum 0.22
  • 18.02.2021 14:00 - 17:30 - 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 lecture: Materials flow in logistic systems (also parallel)

Registration information:

This lecture has a restricted number of participants. Further information for registration and deadlines can be found on the website of the institute.

Workload:

regular attendance: 42 hours
self-study: 198 hours