Sufficient global optimality conditions for general mixed integer nonlinear programming problems

Document Type: Research Paper


1 Department of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.

2 School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China.


‎In this paper‎, ‎some KKT type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (MINPP) are established‎. ‎We achieve‎ ‎this by employing a Lagrange function for MINPP‎. ‎In addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are derived easily‎. ‎Numerical‎ ‎examples are also presented.


Main Subjects

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Volume 42, Issue 5
September and October 2016
Pages 1237-1246
  • Receive Date: 29 April 2015
  • Revise Date: 10 June 2015
  • Accept Date: 11 August 2015