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Volumn 6, Issue 4, 2010, Pages 825-846

An exterior point linear programming method based on inclusive normal cones

Author keywords

Convergence.; Exterior point algorithm; Inclusive normal cones; Linear programming; Optimality

Indexed keywords


EID: 77957764526     PISSN: 15475816     EISSN: 1553166X     Source Type: Journal    
DOI: 10.3934/jimo.2010.6.825     Document Type: Article
Times cited : (8)

References (6)
  • 2
    • 0001900752 scopus 로고    scopus 로고
    • Maximization of a linear function of variables subject to linear inequalities
    • Cowles Commission Monograph No. 13. John Wiley & Sons, Inc., New York, N. Y.; Chapman & Hall, Ltd., London
    • G. B. Dantzig, Maximization of a linear function of variables subject to linear inequalities, Activity Analysis of Production and Allocation, 339-347; Cowles Commission Monograph No. 13. John Wiley & Sons, Inc., New York, N. Y.; Chapman & Hall, Ltd., London, 1951.
    • Activity Analysis of Production and Allocation , pp. 339-347
    • Dantzig, G.B.1
  • 3
    • 51249181779 scopus 로고
    • A new polynomial-time algorithm for linear programming
    • N. Karmarkar, A new polynomial-time algorithm for linear programming, Combinatorica, 4 (1984), 373-395
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 4
    • 0000564361 scopus 로고
    • A polynomial algorithm in linear programming
    • translated in Soviet Mathematics Doklady, 20 (1979), 191-194
    • L. G. Khachiyan, A polynomial algorithm in linear programming, Doklady Akademii Nauk SSSR-S, 244 (1979), 1093-1096; translated in Soviet Mathematics Doklady, 20 (1979), 191-194.
    • (1979) Doklady Akademii Nauk SSSR-S , vol.244 , pp. 1093-1096
    • Khachiyan, L.G.1
  • 5
    • 0344271280 scopus 로고
    • Pivot rules for linear programming: A survey on recent theoretical developments
    • T. Terlaky and S. Zhang, Pivot rules for linear programming: A survey on recent theoretical developments, Annals of Operations Research, 46 (1993), 203-233
    • (1993) Annals of Operations Research , vol.46 , pp. 203-233
    • Terlaky, T.1    Zhang, S.2
  • 6
    • 0003782186 scopus 로고    scopus 로고
    • 3rd Ed., International Series in Operations Research & Management Science 114 Springer, New York
    • R. J. Vanderbei, "Linear Programming - Foundations and Extensions," 3rd Ed., International Series in Operations Research & Management Science, 114, Springer, New York, 2008.
    • (2008) Linear Programming - Foundations and Extensions
    • Vanderbei, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.