The Filled Function Method is concerned with finding the global minimum of
multimodal and multidimensional functions. The filled functions reported in
the literature are with the features that may affect the computability whe
n applied to numerical optimization. This paper proposes a new filled funct
ion. This function needs only one parameter and includes neither exponentia
l terms nor logarithmic terms. Furthermore, the lower bound of weight facto
r a is usually smaller than that of one previous formulation. Therefore, th
e proposed new function has better computability than the traditional ones.