On the efficacy of traffic assignment in satellite-switched TDMA systems

A traffic beam matrix is a square matrix with elements in terms of the number of telephone channels or the number of data packet messages, the matrix size depending on the number of beams under consideration. An efficient traffic loading algorithm is developed which combines the theory of magic squares and a recently known iterative procedure. Attention is given to an evaluation of efficacies, along with a discussion of the validity, optimality, and capability of magic squares. A detailed example is included. It is shown that magic squares can be useful in simplifying the design of traffic assignment procedure in SS-TDMA. Asymptotically it is demonstrated that the transmission efficiency increases for a large traffic volume, due to the unused spaces in the transmission format remaining unchanged.