Result: A polynomial algorithm for 2-cyclic robotic scheduling

Title:
A polynomial algorithm for 2-cyclic robotic scheduling
Source:
MICAI 2006 (advances in artificial intelligence)Lecture notes in computer science. :439-449
Publisher Information:
Berlin; Heidelberg; New York: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 20 ref 1
Original Material:
INIST-CNRS
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Institute for Industrial Mathematics, Beer-Sheva, Israel
Holon Institute of Technology, Holon, Israel
ISSN:
0302-9743
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Operational research. Management
Accession Number:
edscal.19151727
Database:
PASCAL Archive

Further Information

We solve a single-robot m-machine cyclic scheduling problem arising in flexible manufacturing systems served by computer-controlled robots. The problem is to find the minimum cycle time for the so-called 2-cyclic (or 2-degree) schedules, in which exactly two parts enter and two parts leave the production line during each cycle. An earlier known polynomial time algorithm for this problem was applicable only to the Euclidean case, where the transportation times must satisfy the triangle inequality. In this paper we study a general non-Euclidean case. Applying a geometrical approach, we construct a polynomial time algorithm of complexity O(m5 log m).