Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42520161001Sufficient global optimality conditions for general mixed integer nonlinear programming problems12371246877ENJ.QuanDepartment of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.Z. Y.WuSchool of Mathematical Sciences, Chongqing Normal University, Chongqing
401331, China.G. Q.LiSchool of Mathematical Sciences, Chongqing Normal University, Chongqing
401331, China.Journal Article20150429In 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.http://bims.iranjournals.ir/article_877_e02f8f1f336deb5527f980f598eefbff.pdf