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Section B

A bi-objective guillotine cutting problem of stamping strips of equal circles

, &
Pages 2716-2721 | Received 06 Mar 2007, Accepted 10 Jan 2009, Published online: 02 Jun 2010

References

  • Agrawal , P. K. 1993 . Minimizing trim loss in cutting rectangular blanks of a single size form a rectangular sheet using orthogonal guillotine cuts . Eur. J. Oper. Res. , 64 : 410 – 422 .
  • Arslanov , M. Z. 2000 . Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles . Eur. J. Oper. Res. , 125 : 239 – 248 .
  • Cui , Y. 2005 . Dynamic programming algorithms for the optimal cutting of equal rectangles . Appl. Math. Model. , 29 : 1040 – 1053 .
  • Cui , Y. 2005 . Generating optimal T-shape cutting patterns for circular blanks . Comput. Oper. Res. , 32 : 143 – 152 .
  • Cui , Y. 2006 . Generating optimal multi-segment cutting patterns for circular blanks in the manufacturing of electric motors . Eur. J. Oper. Res. , 169 ( 1 ) : 30 – 40 .
  • Cui , Y. and Wang , Q. 2007 . Exact and heuristic algorithms for the circle-cutting problem in the manufacturing industry of electric motors . J. Comb. Optim. , 14 : 35 – 44 .
  • Cui , Y. , Chen , Y. and Wu , J. 2006 . Selecting the best sheet length for the steel stock used in circular blank production . IIE Trans. , 38 ( 10 ) : 829 – 836 .
  • Cui , Y. , Zhang , X. , Zhang , H. and Zhao , X. 2007 . Dynamic programming algorithms for the cutting problem of equal circles . J. Eng. Manufacture , 221 : 387 – 395 .
  • Cung , V. D. , Hifi , M. and Cun , B. L. 2000 . Constrained two-dimensional cutting stock problems a best-first branch-and-bound algorithm . Int. Trans. Oper. Res. , 7 : 185 – 210 .
  • George , J. A. , George , J. M. and Lamar , B. W. 1995 . Packing different-sized circles into a rectangular container . Eur. J. Oper. Res. , 84 : 693 – 712 .
  • Gilmore , P. C. and Gomory , R. E. 1965 . Multistage cutting stock problems of two and more dimensions . Oper. Res. , 13 : 94 – 120 .
  • Gilmore , P. C. and Gomory , R. E. 1966 . The theory and computation of knapsack functions . Oper. Res. , 14 : 1045 – 1074 .
  • Hifi , M. 2001 . Exact algorithms for large-scale unconstrained two and three staged cutting problems . Comput. Optim. Appl. , 18 : 63 – 88 .
  • Hifi , M. and Rym , M. H. 2004 . Approximate algorithms for constrained circular cutting problems . Comput. Oper. Res. , 31 : 675 – 694 .
  • Locatelli , M. and Raber , U. 2002 . Packing equal circles in a square: a deterministic global optimization approach . Discrete Appl. Math. , 122 : 139 – 166 .
  • Stoyan , Y. G. and Yaskov , G. N. 1998 . Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints . Int. Trans. Oper. Res. , 5 : 45 – 57 .
  • Stoyan , Y. G. and Yaskov , G. 2004 . A mathematical model and a solution method for the problem of placing various-sized circles into a strip . Eur. J. Oper. Res. , 156 : 590 – 600 .
  • Tarnowski , A. G. , Terno , J. and Scheithauer , G. 1994 . A polynomial time algorithm for the guillotine pallet-loading problem . INFOR , 32 : 275 – 287 .

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