Mathematics

Reports from N. Brauner et al highlight recent research in applied mathematics

  2008 NOV 24 - (VerticalNews.com) -- "Robotic cells consist of a flow-shop with a robot for material handling. A single part is to be produced cyclically and the objective is to minimize production rate," investigators in Grenoble, France report.

  "This document introduces basic concepts and tools for dealing with cyclic production. In particular, it concentrates on k-cycies which are production cycles where exactly k parts enter and leave the cell. One defines the cycle function X which is the smallest Value of k so that the set of all k-cycles up to size X contains an optimal cycle for all instances," wrote N. Brauner and colleagues.

  The researchers concluded: "Known results and conjectures on these functions are given for the classical case where parts can remain oil the machine waiting for the robot and for the no-wait case where parts have to be removed from the machine as soon as their processing is finished."

  Brauner and colleagues published their study in Discrete Applied Mathematics (Identical part production in cyclic robotic cells: Concepts, overview and open questions. Discrete Applied Mathematics, 2008;156(13):2480-2492).

  For additional information, contact N. Brauner, UJF, G SCOP, 46 Avenue Felix Viallet, F-38031 Grenoble, France.

  The publisher of the journal Discrete Applied Mathematics can be contacted at: Elsevier Science BV, PO Box 211, 1000 AE Amsterdam, Netherlands.

  Keywords: Emerging Technologies, Machine Learning, Robot, Robotics, RobotsMathematics.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.