메뉴 건너뛰기




Volumn 39, Issue 12, 2012, Pages 2991-3011

An exact strip packing algorithm based on canonical forms

Author keywords

Branch and bound; Canonical form; One dimensional contiguous bin packing problem; Two dimensional strip packing problem

Indexed keywords

BIN PACKING PROBLEM; BRANCH AND BOUNDS; CANONICAL FORM; CANONICAL SOLUTIONS; COMPUTATIONAL EXPERIMENT; EXACT ALGORITHMS; FEASIBLE SOLUTION; FIXED WIDTH; LOWER BOUNDS; NP-HARD; OPTIMAL VALUES; RECTANGULAR CONTAINERS; SCHEDULING PROBLEM; SEARCH SPACES; STRIP PACKING; SUB-PROBLEMS; TWO-DIMENSIONAL STRIP;

EID: 84862980535     PISSN: 03050548     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cor.2012.03.003     Document Type: Article
Times cited : (21)

References (37)
  • 1
    • 34447100387 scopus 로고    scopus 로고
    • An improved typology of cutting and packing problems
    • DOI 10.1016/j.ejor.2005.12.047, PII S037722170600292X
    • G. Wäscher, H. Haußner, and H. Schumann An improved typology of cutting and packing problems European Journal of Operational Research 183 3 2007 1109 1130 (Pubitemid 47030730)
    • (2007) European Journal of Operational Research , vol.183 , Issue.3 , pp. 1109-1130
    • Wascher, G.1    Haussner, H.2    Schumann, H.3
  • 3
    • 0035576292 scopus 로고    scopus 로고
    • A review of the application of meta-heuristic algorithms to 2D strip packing problems
    • DOI 10.1023/A:1012590107280
    • E. Hopper, and B.C.H. Turton A review of the application of meta-heuristic algorithms to 2D strip packing problems Artificial Intelligence Review 16 4 2001 257 300 (Pubitemid 33109943)
    • (2001) Artificial Intelligence Review , vol.16 , Issue.4 , pp. 257-300
    • Hopper, E.1    Turton, B.C.H.2
  • 4
    • 10444249856 scopus 로고    scopus 로고
    • Local search algorithms for the rectangle packing problem with general spatial costs
    • DOI 10.1007/s10107-003-0427-1
    • S. Imahori, M. Yagiura, and T. Ibaraki Local search algorithms for the rectangle packing problem with general spatial costs Mathematical Programming 97 3 2003 543 569 (Pubitemid 44769759)
    • (2003) Mathematical Programming, Series B , vol.97 , Issue.3 , pp. 543-569
    • Imahori, S.1    Yagiura, M.2    Ibaraki, T.3
  • 5
    • 1442284228 scopus 로고    scopus 로고
    • An exact approach to the strip-packing problem
    • DOI 10.1287/ijoc.15.3.310.16082
    • S. Martello, M. Monaci, and D. Vigo An exact approach to the strip-packing problem INFORMS Journal on Computing 15 3 2003 310 319 (Pubitemid 39042723)
    • (2003) INFORMS Journal on Computing , vol.15 , Issue.3 , pp. 310-319
    • Martello, S.1    Monaci, M.2    Vigo, D.3
  • 7
    • 0020797485 scopus 로고
    • Bottom-left bin-packing heuristic: An efficient implementation
    • B. Chazelle The bottom-left bin-packing heuristic: an efficient implementation IEEE Transactions on Computers 32 8 1983 697 707 (Pubitemid 14472726)
    • (1983) IEEE Transactions on Computers , vol.C-32 , Issue.8 , pp. 697-707
    • Chazelle Bernard1
  • 8
    • 0030571698 scopus 로고    scopus 로고
    • On genetic algorithms for the packing of polygons
    • DOI 10.1016/0377-2217(94)00166-9
    • S. Jakobs On genetic algorithms for the packing of polygons European Journal of Operational Research 88 1 1996 165 181 (Pubitemid 126367100)
    • (1996) European Journal of Operational Research , vol.88 , Issue.1 , pp. 165-181
    • Jakobs, S.1
  • 9
    • 0032710465 scopus 로고    scopus 로고
    • An improved BL-algorithm for genetic algorithm of the orthogonal packing of rectangles
    • D. Liu, and H. Teng An improved BL-algorithm for genetic algorithm of the orthogonal packing of rectangles European Journal of Operational Research 112 2 1999 413 420
    • (1999) European Journal of Operational Research , vol.112 , Issue.2 , pp. 413-420
    • Liu, D.1    Teng, H.2
  • 10
    • 4544259186 scopus 로고    scopus 로고
    • A new placement heuristic for the orthogonal stock-cutting problem
    • E.K. Burke, G. Kendall, and G. Whitwell A new placement heuristic for the orthogonal stock-cutting problem Operations Research 52 4 2004 655 671
    • (2004) Operations Research , vol.52 , Issue.4 , pp. 655-671
    • Burke, E.K.1    Kendall, G.2    Whitwell, G.3
  • 11
    • 29144523010 scopus 로고    scopus 로고
    • A new heuristic recursive algorithm for the strip rectangular packing problem
    • DOI 10.1016/j.cor.2005.01.009, PII S0305054805000092
    • D. Zhang, Y. Kang, and A. Deng A new heuristic recursive algorithm for the strip rectangular packing problem Computers & Operations Research 33 8 2006 2209 2217 (Pubitemid 41802286)
    • (2006) Computers and Operations Research , vol.33 , Issue.8 , pp. 2209-2217
    • Zhang, D.1    Kang, Y.2    Deng, A.3
  • 12
    • 36048954757 scopus 로고    scopus 로고
    • An efficient heuristic algorithm for rectangle-packing problem
    • DOI 10.1016/j.simpat.2007.09.004, PII S1569190X07001153
    • W. Huang, and D. Chen An efficient heuristic algorithm for rectangle-packing problem Simulation Modelling Practice and Theory 15 10 2007 1356 1365 (Pubitemid 350102430)
    • (2007) Simulation Modelling Practice and Theory , vol.15 , Issue.10 , pp. 1356-1365
    • Huang, W.1    Chen, D.2
  • 13
    • 55749093048 scopus 로고    scopus 로고
    • A least wasted first heuristic algorithm for the rectangular packing problem
    • L. Wei, D. Zhang, and Q. Chen A least wasted first heuristic algorithm for the rectangular packing problem Computers & Operations Research 36 5 2009 1608 1614
    • (2009) Computers & Operations Research , vol.36 , Issue.5 , pp. 1608-1614
    • Wei, L.1    Zhang, D.2    Chen, Q.3
  • 14
    • 0027642328 scopus 로고
    • Some experiments with simulated annealing techniques for packing problems
    • DOI 10.1016/0377-2217(93)90195-S
    • K. Dowsland Some experiments with simulated annealing techniques for packing problems European Journal of Operational Research 68 3 1993 389 399 (Pubitemid 23680557)
    • (1993) European Journal of Operational Research , vol.68 , Issue.3 , pp. 389-399
    • Dowsland Kathryn, A.1
  • 15
    • 33645882933 scopus 로고    scopus 로고
    • A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces
    • A. Bortfeldt A genetic algorithm for the two-dimensional strip packing problem with rectangular pieces European Journal of Operational Research 172 3 2006 814 837
    • (2006) European Journal of Operational Research , vol.172 , Issue.3 , pp. 814-837
    • Bortfeldt, A.1
  • 16
    • 68749119530 scopus 로고    scopus 로고
    • A simulated annealing enhancement of the best-fit heuristic for the orthogonal stock-cutting problem
    • E.K. Burke, G. Kendall, and G. Whitwell A simulated annealing enhancement of the best-fit heuristic for the orthogonal stock-cutting problem INFORMS Journal on Computing 21 3 2009 505 516
    • (2009) INFORMS Journal on Computing , vol.21 , Issue.3 , pp. 505-516
    • Burke, E.K.1    Kendall, G.2    Whitwell, G.3
  • 17
    • 0035200786 scopus 로고    scopus 로고
    • Empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem
    • DOI 10.1016/S0377-2217(99)00357-4
    • E. Hopper, and B.C.H. Turton An empirical investigation of meta-heuristic and heuristic algorithms for a 2D packing problem European Journal of Operational Research 128 1 2001 34 57 (Pubitemid 32022961)
    • (2001) European Journal of Operational Research , vol.128 , Issue.1 , pp. 34-57
    • Hopper, E.1    Turton, B.C.H.2
  • 18
    • 1442308830 scopus 로고    scopus 로고
    • Metaheuristic algorithms for the strip packing problem
    • Springer [Chapter 7]
    • Iori M, Martello S, Monaci M. Metaheuristic algorithms for the strip packing problem. In: Applied optimization, vol. 78. Springer; 2003 [Chapter 7].
    • (2003) Applied Optimization , vol.78
    • Iori, M.1    Martello, S.2    Monaci, M.3
  • 21
    • 34548609506 scopus 로고    scopus 로고
    • Reactive GRASP for the strip-packing problem
    • DOI 10.1016/j.cor.2006.07.004, PII S030505480600150X
    • R. Alvarez-Valdes, F. Parreño, and J.M. Tamarit Reactive GRASP for the strip-packing problem Computers & Operations Research 35 4 2008 1065 1083 (Pubitemid 47404761)
    • (2008) Computers and Operations Research , vol.35 , Issue.4 , pp. 1065-1083
    • Alvarez-Valdes, R.1    Parreno, F.2    Tamarit, J.M.3
  • 22
    • 35348981238 scopus 로고    scopus 로고
    • An improved heuristic recursive strategy based on genetic algorithm for the strip rectangular packing problem
    • D.F. Zhang, S.D. Chen, and Y.J. Liu An improved heuristic recursive strategy based on genetic algorithm for the strip rectangular packing problem Acta Automatica Sinica 33 9 2007 911 916
    • (2007) Acta Automatica Sinica , vol.33 , Issue.9 , pp. 911-916
    • Zhang, D.F.1    Chen, S.D.2    Liu, Y.J.3
  • 24
    • 13544255395 scopus 로고    scopus 로고
    • Improved local search algorithms for the rectangle packing problem with general spatial costs
    • DOI 10.1016/j.ejor.2004.02.020, PII S0377221704002310
    • S. Imahori, M. Yagiura, and T. Ibaraki Improved local search algorithms for the rectangle packing problem with general spatial costs European Journal of Operational Research 167 1 2005 48 67 (Pubitemid 40220002)
    • (2005) European Journal of Operational Research , vol.167 , Issue.1 , pp. 48-67
    • Imahori, S.1    Yagiura, M.2    Ibaraki, T.3
  • 25
    • 43149109952 scopus 로고    scopus 로고
    • One-dimensional heuristics adapted for two-dimensional rectangular strip packing
    • DOI 10.1057/palgrave.jors.2602393, PII 2602393
    • G. Belov, G. Scheithauer, and E.A. Mukhacheva One-dimensional heuristics adapted for two-dimensional rectangular strip packing Journal of the Operational Research Society 59 6 2008 823 832 (Pubitemid 351641215)
    • (2008) Journal of the Operational Research Society , vol.59 , Issue.6 , pp. 823-832
    • Belov, G.1    Scheithauer, G.2    Mukhacheva, E.A.3
  • 26
    • 78649631699 scopus 로고    scopus 로고
    • A squeaky wheel optimisation methodology for two-dimensional strip packing
    • E.K. Burke, M.R. Hyde, and G. Kendall A squeaky wheel optimisation methodology for two-dimensional strip packing Computers & Operations Research 38 7 2011 1035 1044
    • (2011) Computers & Operations Research , vol.38 , Issue.7 , pp. 1035-1044
    • Burke, E.K.1    Hyde, M.R.2    Kendall, G.3
  • 29
    • 59549098139 scopus 로고    scopus 로고
    • A branch and bound algorithm for the strip packing problem
    • R. Alvarez-Valdes, F. Parreño, and J.M. Tamarit A branch and bound algorithm for the strip packing problem OR Spectrum 31 2 2009 431 459
    • (2009) OR Spectrum , vol.31 , Issue.2 , pp. 431-459
    • Alvarez-Valdes, R.1    Parreño, F.2    Tamarit, J.M.3
  • 30
    • 0034156490 scopus 로고    scopus 로고
    • The three-dimensional bin packing problem
    • S. Martello, D. Pisinger, and D. Vigo The three-dimensional bin packing problem Operations Research 48 2 2000 256 267
    • (2000) Operations Research , vol.48 , Issue.2 , pp. 256-267
    • Martello, S.1    Pisinger, D.2    Vigo, D.3
  • 32
    • 0036722418 scopus 로고    scopus 로고
    • Two-dimensional packing problems: A survey
    • DOI 10.1016/S0377-2217(02)00123-6, PII S0377221702001236
    • A. Lodi, S. Martello, and M. Monaci Two-dimensional packing problems: a survey European Journal of Operational Research 141 2 2002 241 252 (Pubitemid 34623935)
    • (2002) European Journal of Operational Research , vol.141 , Issue.2 , pp. 241-252
    • Lodi, A.1    Martello, S.2    Monaci, M.3
  • 34
    • 0003238938 scopus 로고
    • Enumerative approaches to combinatorial optimization
    • T. Ibaraki Enumerative approaches to combinatorial optimization Annals of Operations Research 10-11 1-4 1988 3 342
    • (1988) Annals of Operations Research , vol.10-11 , Issue.1-4 , pp. 3-342
    • Ibaraki, T.1
  • 37
    • 0032023068 scopus 로고    scopus 로고
    • Exact solution of the two-dimensional finite bin packing problem
    • S. Martello, and D. Vigo Exact solution of the two-dimensional finite bin packing problem Management Science 44 3 1998 388 399 (Pubitemid 128568186)
    • (1998) Management Science , vol.44 , Issue.3 , pp. 388-399
    • Martello, S.1    Vigo, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.