메뉴 건너뛰기




Volumn 101, Issue 1, 1997, Pages 104-121

An enumerative algorithm framework for a class of nonlinear integer programming problems

Author keywords

Dual surrogate problem; Eigenvalue; Enumeration tree; Mathematical programming; Nonlinear integer programming

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; FUNCTION EVALUATION; INTEGER PROGRAMMING; TREES (MATHEMATICS);

EID: 0031199152     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00164-6     Document Type: Article
Times cited : (14)

References (23)
  • 1
    • 0022795228 scopus 로고
    • A tight linearization and algorithm for 0-1 quadratic programming problems
    • Adams, W.P. and Sherali, H.D., 1986. A tight linearization and algorithm for 0-1 quadratic programming problems. Management Science, 32(10), 1274-1290.
    • (1986) Management Science , vol.32 , Issue.10 , pp. 1274-1290
    • Adams, W.P.1    Sherali, H.D.2
  • 2
    • 0039539389 scopus 로고
    • Duality in discrete programming: The quadratic case
    • Balas, E., 1969. Duality in discrete programming: The quadratic case. Management Science, 16(1), 14-31.
    • (1969) Management Science , vol.16 , Issue.1 , pp. 14-31
    • Balas, E.1
  • 3
    • 0021494947 scopus 로고
    • Nonlinear 0-1 programming: Linearization techniques
    • Balas, B. and Mazzola, J.B., 1984. Nonlinear 0-1 programming: linearization techniques. Mathematical programming, 30, 1-21.
    • (1984) Mathematical Programming , vol.30 , pp. 1-21
    • Balas, B.1    Mazzola, J.B.2
  • 4
    • 0024103792 scopus 로고
    • A Surrogate-based algorithm for the general quadratic multidimensional knapsack problem
    • Djerdjour, M., Mathur, K. and Salkin, H., 1988. A Surrogate-based algorithm for the general quadratic multidimensional knapsack problem. Operations Research Letters, 7(5), 253-257.
    • (1988) Operations Research Letters , vol.7 , Issue.5 , pp. 253-257
    • Djerdjour, M.1    Mathur, K.2    Salkin, H.3
  • 5
    • 34250258603 scopus 로고
    • Calculating surrogate constraints
    • Dyer, M.E., 1980. Calculating surrogate constraints. Mathematical programming, 19, 255-278.
    • (1980) Mathematical Programming , vol.19 , pp. 255-278
    • Dyer, M.E.1
  • 7
    • 0019632785 scopus 로고
    • A discrete nonlinear simplex method for optimized engineering design
    • Fox, B. and Liebman, J., 1981. A discrete nonlinear simplex method for optimized engineering design. Engineering Optimization, 5, 129-149.
    • (1981) Engineering Optimization , vol.5 , pp. 129-149
    • Fox, B.1    Liebman, J.2
  • 8
    • 0001215807 scopus 로고
    • Surrogate constraints
    • Glover, F., 1967. Surrogate constraints. Operations Research, 16(4), 741-749.
    • (1967) Operations Research , vol.16 , Issue.4 , pp. 741-749
    • Glover, F.1
  • 9
    • 0016510894 scopus 로고
    • Surrogate constraint duality in mathematical programming
    • Glover, F. and Klingman, D., 1975. Surrogate constraint duality in mathematical programming. Operations Research, 23(3), 434-453.
    • (1975) Operations Research , vol.23 , Issue.3 , pp. 434-453
    • Glover, F.1    Klingman, D.2
  • 10
    • 0021179008 scopus 로고
    • Surrogate multipliers search procedures in integer programming
    • Karwan, M.H and Rardin, R.L., 1984. Surrogate multipliers search procedures in integer programming. Operations Research, 32, 52-69.
    • (1984) Operations Research , vol.32 , pp. 52-69
    • Karwan, M.H.1    Rardin, R.L.2
  • 14
    • 0010166689 scopus 로고
    • On minimizing nonseparable functions on the integers with inventory applications
    • Miller, B.L, 1971. On minimizing nonseparable functions on the integers with inventory applications. SIAM Journal on Applied Mathematics, 21, 166-185.
    • (1971) SIAM Journal on Applied Mathematics , vol.21 , pp. 166-185
    • Miller, B.L.1
  • 17
    • 0017958183 scopus 로고
    • Optimal reliability allocation by branch and bound techniques
    • Nakagawa, Y., 1978. Optimal reliability allocation by branch and bound techniques. IEEE Trans. On Reliability, 27(31), 27-35.
    • (1978) IEEE Trans. On Reliability , vol.27 , Issue.31 , pp. 27-35
    • Nakagawa, Y.1
  • 19
    • 0018310113 scopus 로고
    • An algorithm for optimizing nonlinear constrained 0-1 problems to improve wastewater treatment
    • Oron, G., 1979. An algorithm for optimizing nonlinear constrained 0-1 problems to improve wastewater treatment. Engineering Optimization, 4, 109-115.
    • (1979) Engineering Optimization , vol.4 , pp. 109-115
    • Oron, G.1
  • 21
    • 0039346666 scopus 로고
    • The design of branch and bound algorithms for nonlinear integer programs
    • Sherali, H.D. and Myers, D.C., 1986. The design of branch and bound algorithms for nonlinear integer programs. Annals of Operations Research, 5, 463-484.
    • (1986) Annals of Operations Research , vol.5 , pp. 463-484
    • Sherali, H.D.1    Myers, D.C.2
  • 22
    • 0020718128 scopus 로고
    • Nonlinear integer production planning problems
    • Stecke, K., 1983. Nonlinear integer production planning problems. Management Science, 29(3), 273-288.
    • (1983) Management Science , vol.29 , Issue.3 , pp. 273-288
    • Stecke, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.