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This paper presents a new transformation function, namely T-F function, for finding better minimizers in discrete global minimization. We prove that under some general assumptions the T-F function posses the properties of both tunnelling functions and filled functions. Moreover, the new T-F function contains only one parameter and can be adjusted easily in the realization of the proposed algorithm...
Filled function method is an approach to find the global minimum of nonlinear functions. Many problems, such as computing, communication control, and management, in real applications naturally result in global optimization formulations in a form of nonlinear global integer programming.This paper gives a modified filled function method to solve the nonlinear global integer programming problem.The properties...
A definition of the quasi-filled function for nonlinear integer programming problem is given in this paper. A quasi-filled function satisfying our definition is presented. This function contains only one parameter. The properties of the proposed quasi-filled function and the method using this quasi-filled function to solve nonlinear integer programming problem are also discussed in this paper. Numerical...
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