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一类混合整数规划问题的全局最优性充分条件 被引量:1

Global optimality conditions for mixed integer quadratic problem
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摘要 研究了带箱约束混合二次规划问题的全局最优性条件,利用全局次微分(L-次微分)方法。建立了带箱约束混合二次规划问题的全局最优性的一个充分条件. A class of constrained optimization problem with quadratic objective function and box constraints is studied.Using of a new approach which makes use of a global sub-differential (L-sub-differential),and explicit descriptions for quadratic functions,a sufficient condition to characterize a local optimal solution to be global is established.
作者 王杉林
出处 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第S1期166-168,共3页 Journal of Lanzhou University(Natural Sciences)
关键词 非凸二次规划 L-次微分 全局优化条件 non-convex quadratic programming L-sub-differential global optimality condition
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参考文献3

  • 1吴至友,白富生.一种新的求全局优化最优性条件的方法[J].重庆师范大学学报(自然科学版),2006,23(1):1-5. 被引量:9
  • 2V. Jeyakumar,A. M. Rubinov,Z. Y. Wu. Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions[J] 2007,Mathematical Programming(3):521~541
  • 3Jean-Baptiste Hiriart-Urruty. Conditions for Global Optimality 2[J] 1998,Journal of Global Optimization(4):349~367

二级参考文献14

  • 1BECK A,TEBOULLE M.Global Optimality Conditions for Quadratic Optimization Problems with Binary Constraints[ J].SIAM J Optim,2000(11):179-188.
  • 2DUR M,HORST R,LOCATELLI M.Necessary and Sufficient Global Optimality Conditions for Convex Maximization Revisitedp[J].J Math Anal Appl,1998,217(2):637-649.
  • 3GLOVER B M,ISHIZUKA Y,JEYAKUMAR V,et al.Complete Characterizations of Global Optimality for Problems Involving the Pointwise Minimum of Sublinear Functions [ J ].SIAM J Optim,1996 (6):362-372.
  • 4HIRIART-URRUTY J B.Global Optimality Conditions in Maximizing a Convex Quadratic Function Under Convex Quadratic Constraints[J].J Global Option,2001,21:445-455.
  • 5HIRIART-URRUTY J B.Conditions for Global Optimality 2[ J].J Global Optim,1998,13:349-367.
  • 6HORST R,PARDALOS P.Handbook of Global Optimization,Nonconvex Optimization and its Applications [ M ].Dordrecht:Kluwer Academic Publishers,1995.
  • 7MORE J.Generalzations of the Trust Region Problem[ J ].Optim Meth Soft,1993,2:189-209.
  • 8PALLASCHKE D,ROLEWICZ S.Foundations of Mathematical Optimization:Convex Analysis Without Linearity [ M ].Dordrechet:Kluwer Academic Publishers,1997.
  • 9PENG J M,YUAN Y.Optimization Conditions for the Minimization of a Quadratic with Two Quadratic Constraints [ J ].SIAM J Optim,1997,7(3):579-594.
  • 10PINAR M C.Sufficient Global Optimality Conditions for Bivalent Quadratic Optimization[J].J Optim Theor Appl,2004,122(2):443-450.

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