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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 8703782, 12 pages
Research Article

An Efficient Heuristic Approach for Irregular Cutting Stock Problem in Ship Building Industry

Department of Automation, Shanghai JiaoTong University and Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai 200240, China

Received 20 June 2016; Revised 25 August 2016; Accepted 29 August 2016

Academic Editor: Mohammed Nouari

Copyright © 2016 Yan-xin Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents an efficient approach for solving a real two-dimensional irregular cutting stock problem in ship building industry. Cutting stock problem is a common cutting and packing problem that arises in a variety of industrial applications. A modification of selection heuristic Exact Fit is applied in our research. In the case referring to irregular shapes, a placement heuristics is more important to construct a complete solution. A placement heuristic relating to bottom-left-fill is presented. We evaluate the proposed approach using generated instance only with convex shapes in literatures and some instances with nonconvex shapes based on real problem from ship building industry. The results demonstrate that the effectiveness and efficiency of the proposed approach are significantly better than some conventional heuristics.