메뉴 건너뛰기




Volumn 26, Issue 3, 2003, Pages 229-259

A unified monotonic approach to generalized linear fractional programming

Author keywords

Generalized fractional programming; Global optimization; Monotonic optimization; Polyblock approximation approach; Sum or product of ratios of linear functions

Indexed keywords


EID: 34249896775     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1023/A:1023274721632     Document Type: Article
Times cited : (140)

References (23)
  • 3
  • 7
    • 0002168842 scopus 로고
    • Optimizing the sum of linear fractional functions
    • Floudas, C. and Pardalos, P. (eds.) Princeton University Press
    • Falk, J.E. and Palocsay, S.W. (1992), Optimizing the sum of linear fractional functions. In: Floudas, C. and Pardalos, P. (eds.), Global Optimization. Princeton University Press, pp. 221-258.
    • (1992) Global Optimization , pp. 221-258
    • Falk, J.E.1    Palocsay, S.W.2
  • 9
    • 0006761358 scopus 로고    scopus 로고
    • Minimization of the sum of three linear fractional functions
    • H. Konno N. Abe 1999 Minimization of the sum of three linear fractional functions Journal of Global Optimization 15 419 432
    • (1999) Journal of Global Optimization , vol.15 , pp. 419-432
    • Konno, H.1    Abe, N.2
  • 12
    • 0002398911 scopus 로고
    • Parametric simplex algorithms for solving a special class of nonconvex minimization problems
    • H. Konno Y. Yajima T. Matsui 1991 Parametric simplex algorithms for solving a special class of nonconvex minimization problems Journal of Global Optimization 1 65 81
    • (1991) Journal of Global Optimization , vol.1 , pp. 65-81
    • Konno, H.1    Yajima, Y.2    Matsui, T.3
  • 13
    • 0012089322 scopus 로고
    • Minimizing and maximizing the product of linear fractional functions
    • Floudas, C. and Pardalos, P. (eds.) Princeton University Press
    • Konno, H. and Yajima, Y. (1992), Minimizing and maximizing the product of linear fractional functions. In: Floudas, C. and Pardalos, P. (eds.), Recent Advances in Global Optimization eds. Princeton University Press, pp. 259-273.
    • (1992) Recent Advances in Global Optimization , pp. 259-273
    • Konno, H.1    Yajima, Y.2
  • 14
    • 4744368770 scopus 로고    scopus 로고
    • Minimization of the sum and the product of several linear fractional functions
    • Department of IE & Management, to appear in Naval Research Logistics
    • Konno, H. and Yamashita, Y. (1997), Minimization of the sum and the product of several linear fractional functions, Tokyo Institute of Technology, Technical Report, Department of IE & Management, to appear in Naval Research Logistics.
    • (1997) Tokyo Institute of Technology, Technical Report
    • Konno, H.1    Yamashita, Y.2
  • 15
    • 84859266693 scopus 로고    scopus 로고
    • Reverse polyblock approximation for optimization over the weakly efficient set and efficient set
    • L.T. Luc 2001 Reverse polyblock approximation for optimization over the weakly efficient set and efficient set Acta Mathematica Vietnamica 26 65 80
    • (2001) Acta Mathematica Vietnamica , vol.26 , pp. 65-80
    • Luc, L.T.1
  • 16
    • 3142756892 scopus 로고    scopus 로고
    • Algorithm for a monotonic global optimization problem
    • A. Rubinov H. Tuy H. Mays 2001 Algorithm for a monotonic global optimization problem Optimization 49 205 221
    • (2001) Optimization , vol.49 , pp. 205-221
    • Rubinov, A.1    Tuy, H.2    Mays, H.3
  • 18
    • 0000873824 scopus 로고
    • Fractional Programming
    • R. Horst P. Pardalos (eds). Kluwer Dordrecht
    • Schaible, S. (1992), Fractional Programming. In: Horst, R. and Pardalos, P. (eds.), Handbook of Global Optimization, Kluwer, Dordrecht, pp. 495-608.
    • (1992) Handbook of Global Optimization , pp. 495-608
    • Schaible, S.1
  • 19
    • 0035364533 scopus 로고    scopus 로고
    • Semiddefinite relaxations of fractional programs via novel convexification techniques
    • M. Tawarmalani N.V. Sahinidis 2001 Semiddefinite relaxations of fractional programs via novel convexification techniques Journal of Global Optimization 20 137 158
    • (2001) Journal of Global Optimization , vol.20 , pp. 137-158
    • Tawarmalani, M.1    Sahinidis, N.V.2
  • 21
    • 0007552920 scopus 로고    scopus 로고
    • Normal sets, polyblocks and monotonic optimization
    • H. Tuy 1999 Normal sets, polyblocks and monotonic optimization Vietnam Journal of Mathematics 27 4 277 300
    • (1999) Vietnam Journal of Mathematics , vol.27 , Issue.4 , pp. 277-300
    • Tuy, H.1
  • 22
    • 0034353741 scopus 로고    scopus 로고
    • Monotonic optimization: Problems and solution approaches
    • H. Tuy 2000 Monotonic optimization: problems and solution approaches SIAM Journal of Optimization 11 2 464 494
    • (2000) SIAM Journal of Optimization , vol.11 , Issue.2 , pp. 464-494
    • Tuy, H.1
  • 23
    • 0347372730 scopus 로고    scopus 로고
    • A new approach to optimization under monotonic constraint
    • H. Tuy L.T. Luc 2000 A new approach to optimization under monotonic constraint Journal of Global Optimization 18 1 15
    • (2000) Journal of Global Optimization , vol.18 , pp. 1-15
    • Tuy, H.1    Luc, L.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.