메뉴 건너뛰기




Volumn 20, Issue 2, 1997, Pages 93-100

Theoretical investigations on the modified integer round-up property for the one-dimensional cutting stock problem

Author keywords

Cutting stock problem; Integer optimization; Rounding

Indexed keywords

EQUIVALENCE CLASSES; INTEGER PROGRAMMING; LINEAR PROGRAMMING; NUMERICAL METHODS;

EID: 0031075297     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-6377(96)00047-8     Document Type: Article
Times cited : (32)

References (16)
  • 1
    • 0000704005 scopus 로고
    • Integer rounding for polymatroid and branching optimization problems
    • S. Baum and L.E. Trotter, Jr., "Integer rounding for polymatroid and branching optimization problems", SIAM J. Algebra Discrete Methods 2, 416-425 (1981).
    • (1981) SIAM J. Algebra Discrete Methods , vol.2 , pp. 416-425
    • Baum, S.1    Trotter L.E., Jr.2
  • 2
    • 0000586245 scopus 로고
    • Performance bounds for level oriented two-dimensional packing algorithms
    • E.G. Coffmann, M.R. Garey, D.S. Johnson and R.E. Tarjan, "Performance bounds for level oriented two-dimensional packing algorithms", SIAM J. Comput. 9, p. 808-826 (1980).
    • (1980) SIAM J. Comput. , vol.9 , pp. 808-826
    • Coffmann, E.G.1    Garey, M.R.2    Johnson, D.S.3    Tarjan, R.E.4
  • 5
    • 0012057011 scopus 로고
    • The duality gap in trim problems
    • M. Fieldhouse, "The duality gap in trim problems", SICUP-Bulletin 5, 1990.
    • (1990) SICUP-Bulletin , pp. 5
    • Fieldhouse, M.1
  • 6
    • 0041656277 scopus 로고
    • Counterexamples to the IRU property
    • T. Gau, "Counterexamples to the IRU property", SICUP-Bulletin 12, 1994.
    • (1994) SICUP-Bulletin , pp. 12
    • Gau, T.1
  • 7
    • 0001510482 scopus 로고
    • A linear programming approach to the cutting stock problem
    • P.C. Gilmore and R.E. Gomory, "A linear programming approach to the cutting stock problem", Oper. Res. 9, 849-859 (1961).
    • (1961) Oper. Res. , vol.9 , pp. 849-859
    • Gilmore, P.C.1    Gomory, R.E.2
  • 8
    • 0002039863 scopus 로고
    • Rounding algorithms for cutting stock problems
    • R.E. Johnston, "Rounding algorithms for cutting stock problems", Asia-Pacific J. Oper. Res. 3, 166-171 (1986).
    • (1986) Asia-Pacific J. Oper. Res. , vol.3 , pp. 166-171
    • Johnston, R.E.1
  • 9
    • 0022130426 scopus 로고
    • The cutting stock problem and integer rounding
    • O. Marcotte, "The cutting stock problem and integer rounding", Math. Programming 33, 82-92 (1985).
    • (1985) Math. Programming , vol.33 , pp. 82-92
    • Marcotte, O.1
  • 10
    • 0022660624 scopus 로고
    • An instance of the cutting stock problem for which the rounding property does not hold
    • O. Marcotte, "An instance of the cutting stock problem for which the rounding property does not hold", Oper. Res. Lett. 4, 239-243 (1986).
    • (1986) Oper. Res. Lett. , vol.4 , pp. 239-243
    • Marcotte, O.1
  • 12
    • 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 and J. Terno, "About the gap between the optimal values of the integer and continuous relaxation one-dimensional cutting stock problem", Oper. Res. Proc. 1991, Springer, Berlin, 1992.
    • (1991) Oper. Res. Proc.
    • Scheithauer, G.1    Terno, J.2
  • 14
    • 0029634676 scopus 로고
    • The modified integer round-up property for the one-dimensional cutting stock problem
    • G. Scheithauer and J. Terno, "The modified integer round-up property for the one-dimensional cutting stock problem", Europ. J. Oper. Res. 84, 562-571 (1995).
    • (1995) Europ. J. Oper. Res. , vol.84 , pp. 562-571
    • Scheithauer, G.1    Terno, J.2
  • 16
    • 3543110641 scopus 로고
    • Two approaches to the cutting stock problem
    • Lisboa
    • G. Wäscher and T. Gau, "Two approaches to the cutting stock problem", IFORS '93 Conf., Lisboa 1993.
    • (1993) IFORS '93 Conf.
    • Wäscher, G.1    Gau, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.