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Volumn 17, Issue 1, 2007, Pages 79-97

Discrete monotonic optimization with application to a discrete location problem

Author keywords

Branch reduce and bound algorithm; Design centering; Differences of increasing functions; Discrete location; Discrete optimization; Monotonic optimization; Monotonicity cuts; Polyblock approximation

Indexed keywords

COMPUTATIONAL METHODS; INTEGER PROGRAMMING; POLYNOMIALS; PROBLEM SOLVING;

EID: 33847126154     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/04060932X     Document Type: Article
Times cited : (50)

References (16)
  • 2
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • J. B. LASSERRE, Global optimization with polynomials and the problem of moments, SIAM J. Optim., 11 (2001), pp. 796-817.
    • (2001) SIAM J. Optim , vol.11 , pp. 796-817
    • LASSERRE, J.B.1
  • 4
    • 0002099539 scopus 로고
    • Continuous location problems
    • Z. Drezner and H. W. Harnacher, eds, Springer, Berlin
    • F. PLASTRIA, Continuous location problems, in Facility Location, Z. Drezner and H. W. Harnacher, eds., Springer, Berlin, 1995, pp. 225-262.
    • (1995) Facility Location , pp. 225-262
    • PLASTRIA, F.1
  • 5
    • 3142756892 scopus 로고    scopus 로고
    • Algorithm for a monotonic global optimization problem
    • A. RUBINOV, H. TUY, AND H. MAYS, Algorithm for a monotonic global optimization problem, Optimization, 49 (2001), pp. 205-221.
    • (2001) Optimization , vol.49 , pp. 205-221
    • RUBINOV, A.1    TUY, H.2    MAYS, H.3
  • 6
    • 26944498290 scopus 로고    scopus 로고
    • A d.c. approach to the largest empty sphere problem in higher dimension
    • C. Floudas and P. Pardalos, eds, Kluwer Academic Publishers, Dordrecht, The Netherlands
    • J. S. SHI AND Y. YAMAMOTO, A d.c. approach to the largest empty sphere problem in higher dimension, in State of the Art in Global Optimization, C. Floudas and P. Pardalos, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1996, pp. 395-411.
    • (1996) State of the Art in Global Optimization , pp. 395-411
    • SHI, J.S.1    YAMAMOTO, Y.2
  • 8
    • 34250096516 scopus 로고
    • The design centering problem as a D.C. programming problem
    • P. T. THACH, The design centering problem as a D.C. programming problem, Math. Programming, 41 (1988), pp. 229-248.
    • (1988) Math. Programming , vol.41 , pp. 229-248
    • THACH, P.T.1
  • 9
    • 0007552920 scopus 로고    scopus 로고
    • Normal sets, polyblocks, and monotonic optimization
    • H. TUY, Normal sets, polyblocks, and monotonic optimization, Vietnam J. Math., 27 (1999), pp. 277-300.
    • (1999) Vietnam J. Math , vol.27 , pp. 277-300
    • TUY, H.1
  • 10
    • 0034353741 scopus 로고    scopus 로고
    • Monotonic optimization: Problems and solution approaches
    • H. TUY, Monotonic optimization: Problems and solution approaches, SIAM J. Optim., 11 (2000), pp. 464-494.
    • (2000) SIAM J. Optim , vol.11 , pp. 464-494
    • TUY, H.1
  • 11
    • 84889991947 scopus 로고    scopus 로고
    • Monotonic optimization: Branch and cut methods
    • C. Audet, P. Hansen, and G. Savard, eds, Springer, New York
    • H. TUY, F. AL-KHAYYAL, AND P. T. THACH, Monotonic optimization: Branch and cut methods, in Essays and Surveys on Global Optimization, C. Audet, P. Hansen, and G. Savard, eds., Springer, New York, 2005, pp. 39-78.
    • (2005) Essays and Surveys on Global Optimization , pp. 39-78
    • TUY, H.1    AL-KHAYYAL, F.2    THACH, P.T.3
  • 12
    • 0347372730 scopus 로고    scopus 로고
    • A new approach to optimization under monotonic constraint
    • H. TUY AND L. T. LUC, A new approach to optimization under monotonic constraint, J. Global Optim., 18 (2000), pp. 1-15.
    • (2000) J. Global Optim , vol.18 , pp. 1-15
    • TUY, H.1    LUC, L.T.2
  • 13
    • 34249896775 scopus 로고    scopus 로고
    • A unified monotonic approach to generalized linear fractional programming
    • H. TUY AND N. T. HOAI PHUONG, A unified monotonic approach to generalized linear fractional programming, J. Global Optim., 26 (2003), pp. 229-259.
    • (2003) J. Global Optim , vol.26 , pp. 229-259
    • TUY, H.1    HOAI PHUONG, N.T.2
  • 15
    • 3142667587 scopus 로고    scopus 로고
    • Optimization of polynomial fractional programming
    • H. TUY, P. T. THACH, AND H. KONNO, Optimization of polynomial fractional programming, J. Global Optim., 29 (2004), pp. 19-44.
    • (2004) J. Global Optim , vol.29 , pp. 19-44
    • TUY, H.1    THACH, P.T.2    KONNO, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.