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Volumn 19, Issue 1, 2001, Pages 83-102

Solving the Sum-of-Ratios Problem by an Interior-Point Method

Author keywords

Convex subproblem; Fractional programming; Global optimum; Interior point method; Knapsack problem; NP completeness; Sum of ratios

Indexed keywords


EID: 0006866699     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008316327038     Document Type: Article
Times cited : (192)

References (21)
  • 1
    • 84976826673 scopus 로고
    • Voronoi diagrams - A survey of a fundamental geometric data structure
    • Aurenhammer, F. (1991), Voronoi diagrams - a survey of a fundamental geometric data structure, ACM Computing Surveys 23: 345-405.
    • (1991) ACM Computing Surveys , vol.23 , pp. 345-405
    • Aurenhammer, F.1
  • 5
    • 0002168842 scopus 로고
    • Optimizing the sum of linear fractional functions
    • C.A. Floudas and P.M. Pardalos (eds.), Princeton University Press, Princeton, NJ
    • Falk, J.E. and Palocsay, S.W. (1992), Optimizing the sum of linear fractional functions, in: C.A. Floudas and P.M. Pardalos (eds.), Recent Advances in Global Optimization, Princeton University Press, Princeton, NJ, pp. 221-258.
    • (1992) Recent Advances in Global Optimization , pp. 221-258
    • Falk, J.E.1    Palocsay, S.W.2
  • 6
    • 0002654690 scopus 로고    scopus 로고
    • Voronoi diagrams and Delaunay triangulations
    • J.E. Goodman and J. O'Rourke (eds.), CRC Press, Boca Raton, FL
    • Fortune, S.J. (1997), Voronoi diagrams and Delaunay triangulations, in: J.E. Goodman and J. O'Rourke (eds.), Handbook of Discrete and Computational Geometry, CRC Press, Boca Raton, FL, pp. 377-388.
    • (1997) Handbook of Discrete and Computational Geometry , pp. 377-388
    • Fortune, S.J.1
  • 7
    • 0028698570 scopus 로고
    • An interior-point method for fractional programs with convex constraints
    • Freund, R.W. and Jarre, F. (1994), An interior-point method for fractional programs with convex constraints, Mathematical Programming 67: 407-440.
    • (1994) Mathematical Programming , vol.67 , pp. 407-440
    • Freund, R.W.1    Jarre, F.2
  • 8
    • 21844522975 scopus 로고
    • An interior-point method for multifractional programs with convex constraints
    • Freund, R.W. and Jarre, F. (1995), An interior-point method for multifractional programs with convex constraints, J. Optimization Theory and Applications 85: 125-161.
    • (1995) J. Optimization Theory and Applications , vol.85 , pp. 125-161
    • Freund, R.W.1    Jarre, F.2
  • 9
    • 0042039465 scopus 로고    scopus 로고
    • On self-concordant barrier functions for conic hulls and fractional programming
    • Freund, R.W., Jarre, F. and Schaible, S. (1996), On self-concordant barrier functions for conic hulls and fractional programming, Mathematical Programming 74: 237-246.
    • (1996) Mathematical Programming , vol.74 , pp. 237-246
    • Freund, R.W.1    Jarre, F.2    Schaible, S.3
  • 13
    • 0001546315 scopus 로고
    • A practical interior-point method for convex programming
    • Jarre, F. and Saunders, M.A. (1995), A practical interior-point method for convex programming, SIAM J. Optimization 5: 149-171.
    • (1995) SIAM J. Optimization , vol.5 , pp. 149-171
    • Jarre, F.1    Saunders, M.A.2
  • 14
    • 0002250745 scopus 로고
    • Generalized linear multiplicative and fractional programming
    • Konno, H. and Kuno, T. (1990), Generalized linear multiplicative and fractional programming, Annals of Operations Research 25: 147-161.
    • (1990) Annals of Operations Research , vol.25 , pp. 147-161
    • Konno, H.1    Kuno, T.2
  • 16
    • 0010218792 scopus 로고    scopus 로고
    • On polynomiality of the method of analytic centers for fractional problems
    • Nemirovskii, A. (1996), On polynomiality of the method of analytic centers for fractional problems, Mathematical Programming 73: 175-198.
    • (1996) Mathematical Programming , vol.73 , pp. 175-198
    • Nemirovskii, A.1
  • 18
    • 0042211287 scopus 로고
    • A parametric method for solving certain nonconcave maximization problems
    • Ritter, K. (1967), A parametric method for solving certain nonconcave maximization problems, J. Computer and System Sciences 1: 44-54.
    • (1967) J. Computer and System Sciences , vol.1 , pp. 44-54
    • Ritter, K.1
  • 20
    • 0000873824 scopus 로고
    • Fractional programming
    • R. Horst and P.M. Pardalos (eds.), Kluwer Academic Publishers, Dordrecht, The Netherlands
    • Schaible, S. (1995), Fractional programming, in: R. Horst and P.M. Pardalos (eds.), Handbook of Global Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 495-608.
    • (1995) Handbook of Global Optimization , pp. 495-608
    • Schaible, S.1
  • 21
    • 0038832895 scopus 로고    scopus 로고
    • Working Paper Series No. 96-04, Graduate School of Management, University of California, Riverside, CA
    • Schaible, S. (1996), Fractional programming with sums of ratios, Working Paper Series No. 96-04, Graduate School of Management, University of California, Riverside, CA.
    • (1996) Fractional Programming with Sums of Ratios
    • Schaible, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.