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Mathematical model and method of searching for a local extremum for the non-convex oriented polygons allocation problem

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  • Stoyan, Yu. G.
  • Novozhilova, M. V.
  • Kartashov, A. V.

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  • Stoyan, Yu. G. & Novozhilova, M. V. & Kartashov, A. V., 1996. "Mathematical model and method of searching for a local extremum for the non-convex oriented polygons allocation problem," European Journal of Operational Research, Elsevier, vol. 92(1), pages 193-210, July.
    • Handle: RePEc:eee:ejores:v:92:y:1996:i:1:p:193-210
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    References listed on IDEAS

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    1. Dowsland, Kathryn A. & Dowsland, William B., 1992. "Packing problems," European Journal of Operational Research, Elsevier, vol. 56(1), pages 2-14, January.
    2. J. E. Beasley, 1985. "An Exact Two-Dimensional Non-Guillotine Cutting Tree Search Procedure," Operations Research, INFORMS, vol. 33(1), pages 49-64, February.
    3. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
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    Cited by:

    1. Leao, Aline A.S. & Toledo, Franklina M.B. & Oliveira, José Fernando & Carravilla, Maria Antónia & Alvarez-Valdés, Ramón, 2020. "Irregular packing problems: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 803-822.
    2. Lastra-Díaz, Juan J. & Ortuño, M. Teresa, 2024. "Mixed-integer programming models for irregular strip packing based on vertical slices and feasibility cuts," European Journal of Operational Research, Elsevier, vol. 313(1), pages 69-91.
    3. Stoyan, Yu. G. & Pankratov, A. V., 1999. "Regular packing of congruent polygons on the rectangular sheet," European Journal of Operational Research, Elsevier, vol. 113(3), pages 653-675, March.
    4. Toledo, Franklina M.B. & Carravilla, Maria Antónia & Ribeiro, Cristina & Oliveira, José F. & Gomes, A. Miguel, 2013. "The Dotted-Board Model: A new MIP model for nesting irregular shapes," International Journal of Production Economics, Elsevier, vol. 145(2), pages 478-487.
    5. Stoyan, Yu G. & Patsuk, V. N., 2000. "A method of optimal lattice packing of congruent oriented polygons in the plane," European Journal of Operational Research, Elsevier, vol. 124(1), pages 204-216, July.
    6. J. Bennell & G. Scheithauer & Y. Stoyan & T. Romanova, 2010. "Tools of mathematical modeling of arbitrary object packing problems," Annals of Operations Research, Springer, vol. 179(1), pages 343-368, September.
    7. 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.
    8. J A Bennell & J F Oliveira, 2009. "A tutorial in irregular shape packing problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 93-105, May.
    9. Gomes, A. Miguel & Oliveira, Jose F., 2006. "Solving Irregular Strip Packing problems by hybridising simulated annealing and linear programming," European Journal of Operational Research, Elsevier, vol. 171(3), pages 811-829, June.
    10. Elkeran, Ahmed, 2013. "A new approach for sheet nesting problem using guided cuckoo search and pairwise clustering," European Journal of Operational Research, Elsevier, vol. 231(3), pages 757-769.
    11. Edmund Burke & Robert Hellier & Graham Kendall & Glenn Whitwell, 2006. "A New Bottom-Left-Fill Heuristic Algorithm for the Two-Dimensional Irregular Packing Problem," Operations Research, INFORMS, vol. 54(3), pages 587-601, June.

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