Lehrstuhl für Wirtschaftsmathematik

Mathematisches Institut, Fakultät für Mathematik, Physik und Informatik
Lehrstuhlinhaber: Prof. Dr. Jörg Rambau

Dispatching of robots with shared resources

Dispatching of robots with shared resources

arc welding (source: KuKa)

Description

Arc welding is a common technique in car manufactoring industry. Here, a robot is connected to a laser source supplying it with the necessary energy for the welding process. In principle such a laser source can supply up to six robots, but only one at a time. The goal is to find the minimum number of required laser source for a given cycle time.

Results

We have developed an optimization method which can solve instances of practical scales to proven optimality, i.e. exactly decide whether or no a a given number of laser sources is sufficient for the given cycle time. This method also directly includes collision avoidance into the optimization process.

Head

Prof. Dr. Jörg Rambau

Member

Prof. Dr. Jörg Rambau

Dr. Cornelius Schwarz

Publications

C. Schwarz: Integrated Routing & Scheduling, phd thesis, available from Verlag Dr. Hut ISBN 978-3-8439-0310-3

J. Schauer, C.Schwarz, A generalized job-shop problem with more than one resource demand per task(Preprint)

J. Rambau, C. Schwarz: Exploiting combinatorial relaxations to solve a routing & scheduling problem in car body manufacturing (Preprint)

J. Rambau, C. Schwarz: How to avoid collisions in scheduling industrial robots? (Preprint)

J. Rambau, C. Schwarz: On the benefits of using NP-hard problems in Branch & Bound
(Operations Research Proceedings 2008, Springer, 2009, pp. 463-468)(Preprint)

Partner

Volkswagen AG

Konrad Zuse Zentrum Berlin

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Letztes Update am: 28.06.2012

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