Abstract: The filled function method is an effective approach to find the global optima of multivariable and multimodal functions. Inspired by the previous filled functions, we proposed a new filled function with simple form and one parameter. The case of discontinuous point in computation needn't be thought. Moreover, it overcame the disadvantages that some previous filled functions were affected by exponential terms. Numerical results on benchmark functions show that the proposed function is effective.

Key words: Filled function method, Global optimization, Nonlinear programming