메뉴 건너뛰기




Volumn 162, Issue 1, 2005, Pages 353-370

Linearization method of global optimization for generalized geometric programming

Author keywords

Branch and bound; Generalized geometric programming; Global optimization; Linearization

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; ERROR ANALYSIS; GLOBAL OPTIMIZATION; LINEAR PROGRAMMING; POLYNOMIALS; SET THEORY;

EID: 10444243359     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.101     Document Type: Article
Times cited : (39)

References (21)
  • 1
    • 0028396280 scopus 로고
    • The expansion of functions under transformation and its application to optimization
    • Y.-K. Sui, The expansion of functions under transformation and its application to optimization, Computer Methods in Applied Mechanics and Engineering 113 (1994) 253-262.
    • (1994) Computer Methods in Applied Mechanics and Engineering , vol.113 , pp. 253-262
    • Sui, Y.-K.1
  • 2
    • 18744410347 scopus 로고    scopus 로고
    • Multi-item inventory model with under imprecise objective and restrictions: A geometric programming approach
    • K. Das, T.K. Roy, M. Maiti, Multi-item inventory model with under imprecise objective and restrictions: a geometric programming approach, Production Planning & Control 11 (8) (2000) 781-788.
    • (2000) Production Planning & Control , vol.11 , Issue.8 , pp. 781-788
    • Das, K.1    Roy, T.K.2    Maiti, M.3
  • 4
    • 0001642333 scopus 로고
    • A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique
    • H.D. Sherali, C.H. Tuncbilek, A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique, Journal of Global Optimization 2 (1992) 101-112.
    • (1992) Journal of Global Optimization , vol.2 , pp. 101-112
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 5
    • 0003374522 scopus 로고
    • A reformulation-convexification approach for solving nonconvex quadratic programming problems
    • H.D. Sherali, C.H. Tuncbilek, A reformulation-convexification approach for solving nonconvex quadratic programming problems, Journal of Global Optimization 7 (1995) 1-31.
    • (1995) Journal of Global Optimization , vol.7 , pp. 1-31
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 6
    • 0005497324 scopus 로고    scopus 로고
    • Global optimization of nonconvex polynomial programming problems having rational exponents
    • H.D. Sherali, Global optimization of nonconvex polynomial programming problems having rational exponents, Journal of Global Optimization 12 (1998) 267-283.
    • (1998) Journal of Global Optimization , vol.12 , pp. 267-283
    • Sherali, H.D.1
  • 7
    • 0009448044 scopus 로고
    • Generalized weighted mean programming
    • U. Passy, Generalized weighted mean programming, SIAM Journal on Applied Mathematics 20 (1971) 763-778.
    • (1971) SIAM Journal on Applied Mathematics , vol.20 , pp. 763-778
    • Passy, U.1
  • 8
    • 0009457914 scopus 로고
    • Generalized polynomial optimization
    • U. Passy, D.J. Wilde, Generalized polynomial optimization, Journal on Applied Mathematics 15 (5) (1967) 1344-1356.
    • (1967) Journal on Applied Mathematics , vol.15 , Issue.5 , pp. 1344-1356
    • Passy, U.1    Wilde, D.J.2
  • 9
    • 0043048462 scopus 로고    scopus 로고
    • An infeasible interior-point algorithm for solving primal and dual geometric programs
    • K.O. Kortanek, X. Xu, Y. Ye, An infeasible interior-point algorithm for solving primal and dual geometric programs, Mathematical Programming 7 (6) (1996) 155-181.
    • (1996) Mathematical Programming , vol.7 , Issue.6 , pp. 155-181
    • Kortanek, K.O.1    Xu, X.2    Ye, Y.3
  • 10
    • 0018021134 scopus 로고
    • Comparison of generalized geometric programming algorithms
    • M.J. Rijckaert, X.M. Martens, Comparison of generalized geometric programming algorithms, JOTA 26 (1978) 205-241.
    • (1978) JOTA , vol.26 , pp. 205-241
    • Rijckaert, M.J.1    Martens, X.M.2
  • 11
    • 0344540555 scopus 로고
    • A set of geometric programming test problems and their solutions
    • R.S. Dembo, A set of geometric programming test problems and their solutions, Mathematical Programming 10 (1976) 192-213.
    • (1976) Mathematical Programming , vol.10 , pp. 192-213
    • Dembo, R.S.1
  • 12
    • 0030871124 scopus 로고    scopus 로고
    • Global optimization in generalized geometric programming
    • C.D. Maranas, C.A. Floudas, Global optimization in generalized geometric programming, Computers and Chemical Engineering 21 (4) (1997) 351-369.
    • (1997) Computers and Chemical Engineering , vol.21 , Issue.4 , pp. 351-369
    • Maranas, C.D.1    Floudas, C.A.2
  • 13
    • 0002407954 scopus 로고
    • Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms
    • H. Tuy, Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms, Journal of Global Optimization 1 (1) (1991) 23-36.
    • (1991) Journal of Global Optimization , vol.1 , Issue.1 , pp. 23-36
    • Tuy, H.1
  • 14
    • 0024035604 scopus 로고
    • Deterministic global optimization with partitionsets whose feasibility is not known: Application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization
    • R. Horst, Deterministic global optimization with partitionsets whose feasibility is not known: application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization, JOTA 58 (1) (1988) 11-37.
    • (1988) JOTA , vol.58 , Issue.1 , pp. 11-37
    • Horst, R.1
  • 15
    • 0942276872 scopus 로고
    • Reduction of indefinite quadratic programs to bilinear programs
    • P. Hansen, B. Jaumard, Reduction of indefinite quadratic programs to bilinear programs, Journal of Global Optimization 2 (1) (1992) 41-60.
    • (1992) Journal of Global Optimization , vol.2 , Issue.1 , pp. 41-60
    • Hansen, P.1    Jaumard, B.2
  • 19
    • 0000101622 scopus 로고
    • Geometric programming: Methods, computations and applications
    • J.G. Ecker, Geometric programming: methods, Computations and applications, SIAM Review 22 (1980) 338-362.
    • (1980) SIAM Review , vol.22 , pp. 338-362
    • Ecker, J.G.1
  • 20
    • 0043253260 scopus 로고
    • An extension of geometric programming with applications in engineering optimization
    • M. Avriel, A.C. Williams, An extension of geometric programming with applications in engineering optimization, Journal of Engineering Mathematics 5 (3) (1971) 187-199.
    • (1971) Journal of Engineering Mathematics , vol.5 , Issue.3 , pp. 187-199
    • Avriel, M.1    Williams, A.C.2
  • 21
    • 0018007718 scopus 로고
    • Generalized geometric programming applied to problems of optimal control: I. Theory
    • T.R. Jefferson, C.H. Scott, Generalized geometric programming applied to problems of optimal control: I. Theory, JOTA 26 (1978) 117-128.
    • (1978) JOTA , vol.26 , pp. 117-128
    • Jefferson, T.R.1    Scott, C.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.