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A Mixed Integer Programming Model for Solving a Layout Problem in the Fashion Industry

Author

Listed:
  • Zeger Degraeve

    (Department of Applied Economics, Katholieke Universiteit Leuven, Belgium)

  • Martina Vandebroek

    (Department of Applied Economics, Katholieke Universiteit Leuven, Belgium)

Abstract

The cutting operation in the high fashion clothing industry essentially involves putting several layers of cloth on a long cutting table and fixing templates of the parts of several articles on top of the stack before the actual cutting can be initiated. This is a very time-consuming task giving raise to high setup costs in addition to waste production resulting from the cutting process. Total production costs can then be optimized by minimizing the number of these setups while at the same time producing little or no waste. In this paper a mixed integer programming model is proposed that searches for an optimal set of cutting patterns, each giving a combination of articles to be cut in one operation, and corresponding stack heights.

Suggested Citation

  • Zeger Degraeve & Martina Vandebroek, 1998. "A Mixed Integer Programming Model for Solving a Layout Problem in the Fashion Industry," Management Science, INFORMS, vol. 44(3), pages 301-310, March.
    • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:3:p:301-310
    DOI: 10.1287/mnsc.44.3.301
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    References listed on IDEAS

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    1. P. C. Gilmore & R. E. Gomory, 1961. "A Linear Programming Approach to the Cutting-Stock Problem," Operations Research, INFORMS, vol. 9(6), pages 849-859, December.
    2. P. C. Gilmore & R. E. Gomory, 1963. "A Linear Programming Approach to the Cutting Stock Problem---Part II," Operations Research, INFORMS, vol. 11(6), pages 863-888, December.
    3. Harald Dyckhoff, 1981. "A New Linear Programming Approach to the Cutting Stock Problem," Operations Research, INFORMS, vol. 29(6), pages 1092-1104, December.
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    Cited by:

    1. Martens, J., 2004. "Two genetic algorithms to solve a layout problem in the fashion industry," European Journal of Operational Research, Elsevier, vol. 154(1), pages 304-322, April.
    2. Karim Pérez Martínez & Yossiri Adulyasak & Raf Jans, 2022. "Logic-Based Benders Decomposition for Integrated Process Configuration and Production Planning Problems," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 2177-2191, July.
    3. Caulkins, Jonathan P. & Hartl, Richard F. & Kort, Peter M. & Feichtinger, Gustav, 2007. "Explaining fashion cycles: Imitators chasing innovators in product space," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1535-1556, May.
    4. Nascimento, Daniela B. & Neiva de Figueiredo, J. & Mayerle, S.F. & Nascimento, P.R. & Casali, R.M., 2010. "A state-space solution search method for apparel industry spreading and cutting," International Journal of Production Economics, Elsevier, vol. 128(1), pages 379-392, November.
    5. Hajizadeh, Iman & Lee, Chi-Guhn, 2007. "Alternative configurations for cutting machines in a tube cutting mill," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1385-1396, December.
    6. Degraeve, Zeger & Gochet, Willy & Jans, Raf, 2002. "Alternative formulations for a layout problem in the fashion industry," European Journal of Operational Research, Elsevier, vol. 143(1), pages 80-93, November.
    7. Herbert Meyr & Mirko Kiel, 2022. "Minimizing setups and waste when printing labels of consumer goods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 733-761, September.
    8. Han, Wei & Bennell, Julia A. & Zhao, Xiaozhou & Song, Xiang, 2013. "Construction heuristics for two-dimensional irregular shape bin packing with guillotine constraints," European Journal of Operational Research, Elsevier, vol. 230(3), pages 495-504.
    9. Alyne Toscano & Socorro Rangel & Horacio Hideki Yanasse, 2017. "A heuristic approach to minimize the number of saw cycles in small-scale furniture factories," Annals of Operations Research, Springer, vol. 258(2), pages 719-746, November.
    10. Reza Zanjirani Farahani & Nasrin Asgari & Luk N. Van Wassenhove, 2022. "Fast Fashion, Charities, and the Circular Economy: Challenges for Operations Management," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1089-1114, March.
    11. Irawan, Chandra Ade & Song, Xiang & Jones, Dylan & Akbari, Negar, 2017. "Layout optimisation for an installation port of an offshore wind farm," European Journal of Operational Research, Elsevier, vol. 259(1), pages 67-83.

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