A new approach is introduced for calculating the electrical power system reliability indices. Such as multi-state stationary availability, the expected multi-state capacity, the expected unsupplied demand, the loss of load probability and total failed system probability. A multi-state system consisting of elements combined into a series-parallel structure is considered. When the system consists of elements with different reliability and performance (productivity or capacity) characteristics, its availability, defined as the ability to meet a demand, strongly depends on the selection of components and the system structure design. In this paper we present an ant colony method which treats the more sophisticated and realistic models in which components and systems may assume many states ranging from perfect working to complete failure. The objective is to calculate the different reliability indices by using the new modern technique of Ushakov (UMGF technique). A computer program has been developed to implement the UMGF technique. An illustrative example is presented.