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Volumn 72, Issue 1, 1996, Pages 65-82

A general parametric analysis approach and its implication to sensitivity analysis in interior point methods

Author keywords

Interior point method; Linear programming; Marginal analysis; Parametric analysis; Post optimality; Range analysis; Sensitivity analysis

Indexed keywords


EID: 0002760301     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02592332     Document Type: Article
Times cited : (25)

References (13)
  • 1
    • 0027083586 scopus 로고
    • A geometric view of parametric linear programming
    • I. Adler and R.D.C. Monteiro, "A geometric view of parametric linear programming," Algorithmica 8 (1992) 161-176.
    • (1992) Algorithmica , vol.8 , pp. 161-176
    • Adler, I.1    Monteiro, R.D.C.2
  • 2
    • 0002189178 scopus 로고
    • Solving symmetric indefinite systems in an interior-point method for linear programming
    • R. Fourer and S. Mehrotra, "Solving symmetric indefinite systems in an interior-point method for linear programming," Mathematical Programming 62 (1993) 15-39.
    • (1993) Mathematical Programming , vol.62 , pp. 15-39
    • Fourer, R.1    Mehrotra, S.2
  • 3
    • 0347793766 scopus 로고
    • Quelques precisions sur les prix marginaux en programmation lineaire
    • in French
    • J. Gauvin, "Quelques precisions sur les prix marginaux en programmation lineaire," INFOR 18 (1980) 68-73 (in French).
    • (1980) INFOR , vol.18 , pp. 68-73
    • Gauvin, J.1
  • 4
    • 0001856557 scopus 로고
    • Theory of linear programming
    • H.W. Kuhn and A.W. Tucker, eds., Princeton University Press, Princeton, NJ
    • A.J. Goldman and A.W. Tucker, "Theory of linear programming," in: H.W. Kuhn and A.W. Tucker, eds., Linear Inequalities and Related Systems (Princeton University Press, Princeton, NJ, 1956) pp. 53-97.
    • (1956) Linear Inequalities and Related Systems , pp. 53-97
    • Goldman, A.J.1    Tucker, A.W.2
  • 5
    • 0001114822 scopus 로고
    • Convergence behavior of interior-point algorithms
    • O. Güler and Y. Ye, "Convergence behavior of interior-point algorithms," Mathematical Programming 60 (1993) 215-228.
    • (1993) Mathematical Programming , vol.60 , pp. 215-228
    • Güler, O.1    Ye, Y.2
  • 7
    • 0039953584 scopus 로고
    • An interior point approach to postoptimal and parametric analysis in linear programming
    • Faculty of Technical Mathematics and Informatics, TU Delft, Netherlands
    • B. Jansen, C. Roos and T. Terlaky, "An interior point approach to postoptimal and parametric analysis in linear programming," Technical Report 92-21, Faculty of Technical Mathematics and Informatics, TU Delft, Netherlands, 1992.
    • (1992) Technical Report 92-21
    • Jansen, B.1    Roos, C.2    Terlaky, T.3
  • 8
    • 0026386708 scopus 로고
    • On finding primal and dual optimal bases
    • N. Megiddo, "On finding primal and dual optimal bases," ORSA Journal on Computing 3 (1991) 63-65.
    • (1991) ORSA Journal on Computing , vol.3 , pp. 63-65
    • Megiddo, N.1
  • 9
    • 34250077538 scopus 로고
    • Finding an interior point in the optimal face of linear programs
    • S. Mehrotra and Y. Ye, "Finding an interior point in the optimal face of linear programs," Mathematical Programming 62 (1993) 497-515.
    • (1993) Mathematical Programming , vol.62 , pp. 497-515
    • Mehrotra, S.1    Ye, Y.2
  • 11
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, NJ, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.