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Volumn 6, Issue 3, 1996, Pages 838-857

A bilevel programming method for pipe network optimization

Author keywords

Bilevel programming; Conjugate dual; Convex programming; Pipe network; Trust region method

Indexed keywords


EID: 0030303865     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623493260696     Document Type: Article
Times cited : (42)

References (20)
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  • 2
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  • 5
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    • (1988) Optimization of Large Networks for Natural Gas
    • Hansen, C.T.1
  • 6
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    • (1974) Water Resources Res. , vol.11 , pp. 27-36
    • Shamir, U.1
  • 9
    • 0011261309 scopus 로고
    • An iterative method for nonlinear pipe network equations and its generalization
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    • (1981) Acta Math. Appl. Sinica , vol.4 , pp. 175-189
    • Zhang, J.1
  • 10
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
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    • Rockafellar, T.1
  • 12
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    • A hybrid method for nonlinear equations
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    • M. J. D. POWELL, A hybrid method for nonlinear equations, in Numerical Methods for Nonlinear Algebraic Equations, P. Rabinowitz, ed., Gordon and Breach, London, 1970, pp. 87-114.
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    • Powell, M.J.D.1
  • 13
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    • Newton's method with a model trust region modification
    • D. C. SORENSEN, Newton's method with a model trust region modification, SIAM J. Numer. Anal., 19 (1982), pp. 409-426.
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    • Sorensen, D.C.1
  • 16
    • 0000110392 scopus 로고
    • An implementation of Karmarkar's algorithm for linear programming
    • I. ADLER, N. KARMARKAR, M. G. C. RESENDE, AND G. VEIGA, An implementation of Karmarkar's algorithm for linear programming, Math. Programming, 44 (1989), pp. 297-325.
    • (1989) Math. Programming , vol.44 , pp. 297-325
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  • 17
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    • An implementation of a primal-dual interior point method for linear programming
    • K. A. MCSHANE, C. L. MONMA, AND D. F. SHANNO, An implementation of a primal-dual interior point method for linear programming, ORSA J. Comput., 1 (1989), pp. 70-83.
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  • 18
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    • On the implementation of a primal-dual interior point method
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    • Mehrotra, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.