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Volumn 112, Issue 3, 1999, Pages 654-663

Tighter relaxations for the cutting stock problem

Author keywords

Cutting stock problem; Linear programming relaxation; Modified integer round up property

Indexed keywords

HEURISTIC METHODS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; MATHEMATICAL MODELS; PROBLEM SOLVING; RELAXATION PROCESSES;

EID: 0033078451     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(97)00404-9     Document Type: Article
Times cited : (21)

References (20)
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    • Gilmore, P.C.1    Gomory, R.E.2
  • 4
    • 0040406175 scopus 로고
    • Technical Report 568, School of Oper. Res. and Ind. Eng., Cornell University, Ithaca, NY
    • O. Marcotte, Topics in combinatorial packing and covering, Technical Report 568, School of Oper. Res. and Ind. Eng., Cornell University, Ithaca, NY, 1982.
    • (1982) Topics in Combinatorial Packing and Covering
    • Marcotte, O.1
  • 5
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    • The cutting stock problem and integer rounding
    • Marcotte O. The cutting stock problem and integer rounding. Mathematical Programming. 33/1:1985;82-92.
    • (1985) Mathematical Programming , vol.331 , pp. 82-92
    • Marcotte, O.1
  • 6
    • 0022660624 scopus 로고
    • An instance of the cutting stock problem for which the rounding property does not hold
    • Marcotte O. An instance of the cutting stock problem for which the rounding property does not hold. Operations Research Letters. 4/5:1986;239-243.
    • (1986) Operations Research Letters , vol.45 , pp. 239-243
    • Marcotte, O.1
  • 8
    • 0012026455 scopus 로고
    • About the gap between the optimal values of the integer and continuous relaxation one-dimensional cutting stock problem
    • Springer, Berlin
    • G. Scheithauer, J. Terno, About the gap between the optimal values of the integer and continuous relaxation one-dimensional cutting stock problem, in: Operations Research Proceedings, Springer, Berlin, 1992, pp. 439-444.
    • (1992) In: Operations Research Proceedings , pp. 439-444
    • Scheithauer, G.1    Terno, J.2
  • 9
    • 0031075297 scopus 로고    scopus 로고
    • Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem
    • Scheithauer G., Terno J. Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem. Operations Research Letters. 20:1997;93-100.
    • (1997) Operations Research Letters , vol.20 , pp. 93-100
    • Scheithauer, G.1    Terno, J.2
  • 10
    • 0029634676 scopus 로고
    • The modified integer round-up property of the one-dimensional cutting stock problem
    • Scheithauer G., Terno J. The modified integer round-up property of the one-dimensional cutting stock problem. European Journal of Operational Research. 84:1995;562-571.
    • (1995) European Journal of Operational Research , vol.84 , pp. 562-571
    • Scheithauer, G.1    Terno, J.2
  • 11
    • 3543110641 scopus 로고
    • Two approaches to the cutting stock problem
    • Lisboa
    • G. Wäscher, T. Gau, Two approaches to the cutting stock problem, IFORS '93 Conference, Lisboa, 1993.
    • (1993) IFORS '93 Conference
    • Wäscher, G.1    Gau, T.2
  • 12
    • 0012057011 scopus 로고    scopus 로고
    • The duality gap in trim problems
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    • SICUP-Bulletin , vol.5 , pp. 1990
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  • 15
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    • A branch-and-bound algorithm for solving one-dimensional cutting stock problems exactly
    • Scheithauer G., Terno J. A branch-and-bound algorithm for solving one-dimensional cutting stock problems exactly. Applicationes Mathematicae. 23/2:1995;151-167.
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    • Scheithauer, G.1    Terno, J.2
  • 18
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    • New cases of the cutting stock problem having MIRUP
    • TU Dresden, to appear in Mathematical Methods of Operations Research (ZOR)
    • C. Nitsche, G. Scheithauer, J. Terno, New cases of the cutting stock problem having MIRUP, Technical Report MATH-NM-17-1996, TU Dresden, 1996, to appear in Mathematical Methods of Operations Research (ZOR).
    • (1996) Technical Report MATH-NM-17-1996
    • Nitsche, C.1    Scheithauer, G.2    Terno, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.