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Volumn 103, Issue 1, 1999, Pages 95-119

Analytical linear inequality systems and optimization

Author keywords

Convex sets; Linear inequality systems; Purification algorithms; Semi infinite programming

Indexed keywords

MATHEMATICAL PROGRAMMING; SET THEORY;

EID: 0033211543     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021773300365     Document Type: Article
Times cited : (9)

References (15)
  • 2
    • 0000388270 scopus 로고
    • An extension of the simplex algorithm for semi-infinite linear programming
    • ANDERSON, E. J., and LEWIS, A. S., An Extension of the Simplex Algorithm for Semi-Infinite Linear Programming, Mathematical Programming, Vol. 44, pp. 247-469, 1989.
    • (1989) Mathematical Programming , vol.44 , pp. 247-469
    • Anderson, E.J.1    Lewis, A.S.2
  • 3
    • 0026837956 scopus 로고
    • A purification algorithm for semi-infinite programming
    • LEON, T., and VERCHER, E., A Purification Algorithm for Semi-Infinite Programming, European Journal of Operations Research, Vol. 57, pp. 412-420, 1992.
    • (1992) European Journal of Operations Research , vol.57 , pp. 412-420
    • Leon, T.1    Vercher, E.2
  • 4
    • 0008980032 scopus 로고
    • An optimality test for semi-infinite linear programming
    • LEON, T., and VERCHER, E., An Optimality Test for Semi-Infinite Linear Programming, Optimization, Vol. 26, pp. 51-60, 1992.
    • (1992) Optimization , vol.26 , pp. 51-60
    • Leon, T.1    Vercher, E.2
  • 5
    • 0028385476 scopus 로고
    • New descent rules for solving the linear semi-infinite optimization problem
    • LEON, T., and VERCHER, E., New Descent Rules for Solving the Linear Semi-Infinite Optimization Problem, Operations Research Letters, Vol. 15, pp. 105-114, 1994.
    • (1994) Operations Research Letters , vol.15 , pp. 105-114
    • Leon, T.1    Vercher, E.2
  • 10
    • 0001793982 scopus 로고
    • Generalizations of some fundamental theorems on linear inequalities
    • ZHU, Y. J., Generalizations of Some Fundamental Theorems on Linear Inequalities, Acta Mathematica Sinica, Vol. 16, pp. 25-40, 1966.
    • (1966) Acta Mathematica Sinica , vol.16 , pp. 25-40
    • Zhu, Y.J.1
  • 11
    • 0000249456 scopus 로고
    • Duality in semi-infinite programs and some works of Haar and carathéodory
    • CHARNES, A., COOPER, W. W., and KORTANEK, K. O., Duality in Semi-Infinite Programs and Some Works of Haar and Carathéodory, Management Science, Vol. 9, pp. 209-228, 1963.
    • (1963) Management Science , vol.9 , pp. 209-228
    • Charnes, A.1    Cooper, W.W.2    Kortanek, K.O.3
  • 13
    • 0009028652 scopus 로고
    • On representations of semi-infinite programs which have no duality gaps
    • CHARNES, A., COOPER, W. W., and KORTANEK, K. O., On Representations of Semi-Infinite Programs Which Have No Duality Gaps, Management Science, Vol. 12, pp. 113-121, 1965.
    • (1965) Management Science , vol.12 , pp. 113-121
    • Charnes, A.1    Cooper, W.W.2    Kortanek, K.O.3
  • 15
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • ROCKAFELLAR, R. T., Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.