In this paper, we present a novel algorithm for two dimensional guillotine cutting stock problem with application to plate design in steel industry. The algorithm is based on Column Generation idea developed by Gilmore and Gomory. In order to apply Column Generation methodology to our problem and make the algorithm more flexible, we propose a new pricing heuristic which generates feasible guillotine cutting patterns by Wang's algorithm. The main features of the algorithm are (1) it can solve the problems whose stock sizes are uncertain (variables) (2) it is independent of the definition of feasible patterns except for guillotine cutting constraint. The flexibility of the algorithm enables its broader applications to practical problems e.g. plate design in steel industry etc．The computational results show the effectiveness of the algorithm. NOTE: Submitted to ESA2005.
By: Toshinari Itoko and Kaiyang Yang
Published in: RT0606 in 2007
LIMITED DISTRIBUTION NOTICE:
This Research Report is available. This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g., payment of royalties). I have read and understand this notice and am a member of the scientific community outside or inside of IBM seeking a single copy only.
Questions about this service can be mailed to reports@us.ibm.com .