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Active-set sequential quadratic programming method with compact neighbourhood algorithm for the multi-polygon mass production cutting-stock problem with rotatable polygons

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  • Yu, M.T.
  • Lin, T.Y.
  • Hung, C.

Abstract

The cutting-stock problem, which considers how to arrange the component profiles on the material without overlaps, can increase the utility rate of the sheet stock, and is thus a standard constrained optimisation problem. In some applications the components should be placed with specific orientations, but in others the components may be placed with any orientation. This study presents an overlap index and it is much more suitable for the active-set SQP method which can reduce the time spend for constraint consideration. Using this method, various object orientations can be considered easily and the number of object on the sheet stock can be improved by up to eight percent.

Suggested Citation

  • Yu, M.T. & Lin, T.Y. & Hung, C., 2009. "Active-set sequential quadratic programming method with compact neighbourhood algorithm for the multi-polygon mass production cutting-stock problem with rotatable polygons," International Journal of Production Economics, Elsevier, vol. 121(1), pages 148-161, September.
    • Handle: RePEc:eee:proeco:v:121:y:2009:i:1:p:148-161
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    References listed on IDEAS

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    1. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
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    3. Wong, W.K. & Leung, S.Y.S., 2008. "Genetic optimization of fabric utilization in apparel manufacturing," International Journal of Production Economics, Elsevier, vol. 114(1), pages 376-387, July.
    4. Dowsland, Kathryn A. & Vaid, Subodh & Dowsland, William B., 2002. "An algorithm for polygon placement using a bottom-left strategy," European Journal of Operational Research, Elsevier, vol. 141(2), pages 371-381, September.
    5. Gomes, A. Miguel & Oliveira, Jose F., 2002. "A 2-exchange heuristic for nesting problems," European Journal of Operational Research, Elsevier, vol. 141(2), pages 359-370, September.
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    Cited by:

    1. López-Camacho, Eunice & Terashima-Marín, Hugo & Ochoa, Gabriela & Conant-Pablos, Santiago Enrique, 2013. "Understanding the structure of bin packing problems through principal component analysis," International Journal of Production Economics, Elsevier, vol. 145(2), pages 488-499.
    2. Miguel Santoro & Felipe Lemos, 2015. "Irregular packing: MILP model based on a polygonal enclosure," Annals of Operations Research, Springer, vol. 235(1), pages 693-707, December.

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