Sufficient global optimality conditions for general mixed integer nonlinear programming problems

نویسندگان

G. Q. Li School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China.

J. Quan Department of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.

Z. Y. Wu School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China.

چکیده مقاله:

‎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.