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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.3
- 발행연도
- 2021.9
- 수록면
- 611 - 628 (18page)
- DOI
- 10.22771/nfaa.2021.26.03.11
이용수
초록· 키워드
오류제보하기
In this paper, we propose a new branch-reduction-and-bound algorithm to solve the nonlinear knapsack problems by using general discrete monotonic optimizationtechniques. The specific properties of the problem are exploited to increase the efficiency of the algorithm. Computational experiments of the algorithm on problems with up to 30 variables and 5 different constraints are reported.
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참고문헌 (21)
참고문헌 신청
P. N. Anh / 2006 / Lagrangian duality algorithms for finding a global optimal solution to mathematical programs with affine equilibrium constraints / Nonlinear. Dynam. Syst. Theory 6:225~244
P. N. Anh / 2006 / Contraction mapping fixed point algorithms for multivalued mixed variational inequalities on network, in Optimization with Multivalued Mappings / Springer
P. N. Anh / 2020 / Optimality condition and quasi-conjugate duality with zero gap in nonconvex optimization / Optim. Letters 14:2021~2037
M. W. Cooper / 1980 / The use of dynamic programming for the solution of a class of nonlinear programming problems / Nav. Res. Logist. Q 27:89~95
O. K. Gupta / 1985 / Branch and bound experiments in convex nonlinear integer programming / Manag. Sci 31:1533~1546
P. N. Anh / 2006 / Contraction mapping fixed point algorithms for multivalued mixed variational inequalities on network, in Optimization with Multivalued Mappings / Springer
P. N. Anh / 2020 / Optimality condition and quasi-conjugate duality with zero gap in nonconvex optimization / Optim. Letters 14:2021~2037
M. W. Cooper / 1980 / The use of dynamic programming for the solution of a class of nonlinear programming problems / Nav. Res. Logist. Q 27:89~95
O. K. Gupta / 1985 / Branch and bound experiments in convex nonlinear integer programming / Manag. Sci 31:1533~1546
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