대한수학회지 (Journal of the Korean Mathematical Society)

  • 제37권6호
  • /
  • Pages.1021-1030
  • /
  • 2000
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

SYMMETRIC DUALITY FOR NONLINEAR MIXED INTEGER PROGRAMS WITH A SQUARE ROOT TERM

  • Kim, Do-Sang (Department of Applied Mathematics, Pukyong National University) ;
  • Song, Young-Ran (Department of Applied Mathematics, Pukyong National University)
  • 발행 : 2000.11.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We formulate a pair of symmetric dual mixed integer programs with a square root term and establish the weak, strong and converse duality theorems under suitable invexity conditions. Moreover, the self duality theorem for our pair is obtained by assuming the kernel function to be skew symmetric.

키워드

참고문헌

  1. Integer and Nonlinear Programming Minimax and duality for linear and nonlinear mixed-integer programming E. Balas;J. Abadie(ed.)
  2. Bull. Austral. Math. Soc. v.24 Symmetric dual nondifferentiable programs S. Chandra;I. Husain
  3. Pacific J. Math. v.15 Symmetric dual nonlinear programs G.B. Dantzig;E. Eisenberg;R.W. Cottle
  4. J. Math. Anal. Appl. v.12 On sufficiency of the Kuhn-Tucker conditions Hanson
  5. Euro. J. Oper. Res. v.107 Multiobjective symmetric duality with cone constraints D.S. Kim;Y.B. Yun;W.J. Lee
  6. Euro. J. Oper. Res. v.80 Symmetric duality for minimax nonlinear mixed integer programming V. Kumar;I. Husain;S. Chandra
  7. Numer. Math. v.10 Symmetric and self duality in nonlinear programming S.L. Mehndiratta
  8. Optimization v.28 On a pair of nonlinear mixed integer programming problem M.S. Mishra;D. Acharya;S. Nanda
  9. Opsearch v.17 no.1 On minimax and symmetric duality for a nonlinear mixed integer programming problem B.K. Mishra;C. Das
  10. J. Math. Anal. Appl. v.46 A class of nondifferentiable mathematical programming problems B. Mond
  11. Opsearch v.13 Symmetric duality for nonlinear programming
  12. Generalized Concavity in Optimization and Economics Generalized concavity and duality B. Mond;T. Weir;S. Schaible(ed.);W. T. Ziemba(ed.)