Convolution Algorithm for State-Passage Probabilities Calculation in Limited-Availability Group

Abstract

In this paper it is proposed an approximate method of calculations of occupancy distribution and blocking probability in a generalized model of a limited-availability group. The basis of the proposed method is a new algorithm of state-passage probabilities estimation in the limited-availability group. The algorithm is based on the convolution operation of distributions of unavailable resources in the limited-availability group for calls of offered traffic classes. The proposed algorithm is characterized by low order of computational complexity.