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Volumn 52, Issue 12, 2001, Pages 1390-1401

Solving one-dimensional cutting stock problems exactly with a cutting plane algorithm

Author keywords

Column generation; Cutting planes; Cutting stock problem; Integer programming; Linear programming

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; INTEGER PROGRAMMING; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPERATIONS RESEARCH; SET THEORY; THEOREM PROVING;

EID: 0035576826     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2601242     Document Type: Article
Times cited : (26)

References (20)
  • 1
    • 0001510482 scopus 로고
    • A linear programming approach to the cutting-stock problem (Part I)
    • Gilmore PC and Gomory RE (1961). A linear programming approach to the cutting-stock problem (Part I). Opns Res 9: 849-859.
    • (1961) Opns Res , vol.9 , pp. 849-859
    • Gilmore, P.C.1    Gomory, R.E.2
  • 3
    • 0000784077 scopus 로고
    • A branch-and-bound algorithm for solving one-dimensional cutting stock problems exactly
    • Scheithauer G and Terno J (1995). A branch-and-bound algorithm for solving one-dimensional cutting stock problems exactly. Appl Math 23: 151-167.
    • (1995) Appl Math , vol.23 , pp. 151-167
    • Scheithauer, G.1    Terno, J.2
  • 4
    • 0032023462 scopus 로고    scopus 로고
    • Branch-and-price algorithms for the onedimensional cutting stock problem
    • Vance P (1998). Branch-and-price algorithms for the onedimensional cutting stock problem. Comput Optim Appl 9: 212-228.
    • (1998) Comput Optim Appl , vol.9 , pp. 212-228
    • Vance, P.1
  • 5
    • 0000906834 scopus 로고    scopus 로고
    • Computational study of a column generation algorithm for bin packing and cutting stock problems
    • Vanderbeck F (1999). Computational study of a column generation algorithm for bin packing and cutting stock problems. Math Program 86A: 565-594.
    • (1999) Math Program , vol.86 , pp. 565-594
    • Vanderbeck, F.1
  • 7
    • 0006871616 scopus 로고    scopus 로고
    • Solving the general onedimensional cutting stock problem with a cutting plane approach
    • to appear
    • Belov G and Scheithauer G (2001). Solving the general onedimensional cutting stock problem with a cutting plane approach. Eur J Opl Res (to appear).
    • (2001) Eur J Opl Res
    • Belov, G.1    Scheithauer, G.2
  • 8
    • 0000596106 scopus 로고    scopus 로고
    • Heuristics for the onedimensional cutting stock problem: A computational study
    • Wscher G and Gau T (1996). Heuristics for the onedimensional cutting stock problem: a computational study. OR Spectrum 18: 131-144.
    • (1996) OR Spectrum , vol.18 , pp. 131-144
    • Wscher, G.1    Gau, T.2
  • 9
    • 0033078451 scopus 로고    scopus 로고
    • Tighter relaxations for the cutting stock problem
    • Nitsche C, Scheithauer G and Terno J (1999). Tighter relaxations for the cutting stock problem. Eur J Opl Res 112: 654-663.
    • (1999) Eur J Opl Res , vol.112 , pp. 654-663
    • Nitsche, C.1    Scheithauer, G.2    Terno, J.3
  • 10
    • 84984725378 scopus 로고    scopus 로고
    • Facet-defining inequalities for the cutting stock problem
    • Scheithauer G and Terno J (1997). Facet-defining inequalities for the cutting stock problem. Perquisa Operacional 19: 131-144.
    • (1997) Perquisa Operacional , vol.19 , pp. 131-144
    • Scheithauer, G.1    Terno, J.2
  • 11
    • 0000704005 scopus 로고
    • Integer rounding for poly-matroid and branching optimization problems
    • Baum S and Trotter LE Jr (1981). Integer rounding for poly-matroid and branching optimization problems. SIAM J Algeb Disc Meth 2: 416-425.
    • (1981) SIAM J Algeb Disc Meth , vol.2 , pp. 416-425
    • Baum, S.1    Trotter, L.E.2
  • 12
    • 0029634676 scopus 로고
    • The modified integer roundup property of the one-dimensional cutting stock problem
    • Scheithauer G and Terno J (1995). The modified integer roundup property of the one-dimensional cutting stock problem. Eur J Opl Res 84: 562-571.
    • (1995) Eur J Opl Res , vol.84 , pp. 562-571
    • Scheithauer, G.1    Terno, J.2
  • 13
    • 0031075297 scopus 로고    scopus 로고
    • Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem
    • Scheithauer G and Terno J (1997). Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem. Opns Res Lett 20: 93-100.
    • (1997) Opns Res Lett , vol.20 , pp. 93-100
    • Scheithauer, G.1    Terno, J.2
  • 14
    • 0022660624 scopus 로고
    • An instance of the cutting stock problem for which the rounding property does not hold
    • Marcotte O (1986). An instance of the cutting stock problem for which the rounding property does not hold. OR Lett 4: 239-243.
    • (1986) OR Lett , vol.4 , pp. 239-243
    • Marcotte, O.1
  • 16
    • 0000584041 scopus 로고    scopus 로고
    • One-dimensional cutting stock problem: Numerical experiments with the sequential value correction method
    • Mukhacheva EA, Belov GN, Kartak OM and Mukhacheva AS (2000). One-dimensional cutting stock problem: numerical experiments with the sequential value correction method. Pesquisa Operacional 20: 153-168.
    • (2000) Pesquisa Operacional , vol.20 , pp. 153-168
    • Mukhacheva, E.A.1    Belov, G.N.2    Kartak, O.M.3    Mukhacheva, A.S.4
  • 17
    • 0000222680 scopus 로고    scopus 로고
    • A new lower bound for the bin-packing problem and its integration to MTP
    • Schwerin P and Wscher G (1999). A new lower bound for the bin-packing problem and its integration to MTP. Pesquisa Operacional 19: 111-130.
    • (1999) Pesquisa Operacional , vol.19 , pp. 111-130
    • Schwerin, P.1    Wscher, G.2
  • 18
    • 84984726268 scopus 로고    scopus 로고
    • Solving one-dimensional cutting stock problems exactly with a cutting plane algorithm. Technical Report MATH-NM-06-1999
    • Scheithauer G, Terno J, Muller A and Belov G (1999). Solving one-dimensional cutting stock problems exactly with a cutting plane algorithm. Technical Report MATH-NM-06-1999, Dresden University of Technology.
    • (1999) Dresden University of Technology
    • Scheithauer, G.1    Terno, J.2    Muller, A.3    Belov, G.4
  • 19
    • 0006819765 scopus 로고    scopus 로고
    • Families of non-IRUP instances of the one-dimensional cutting stock problem. Technical Report MATH-NM-09-1998
    • Rietz J, Scheithauer G and Terno J (1998). Families of non-IRUP instances of the one-dimensional cutting stock problem. Technical Report MATH-NM-09-1998, Dresden University of Technology.
    • (1998) Dresden University of Technology
    • Rietz, J.1    Scheithauer, G.2    Terno, J.3
  • 20
    • 0034322881 scopus 로고    scopus 로고
    • Solving a bi-criterion cutting stock problem with open-ended demand: A case study
    • Kolen AWJ and Spieksma FCR (2000). Solving a bi-criterion cutting stock problem with open-ended demand: a case study. JOpl Res Soc 51: 1238-1247.
    • (2000) Jopl Res Soc , vol.51 , pp. 1238-1247
    • Kolen, A.1    Spieksma, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.