N. Funabiki et al., A GRADUAL NEURAL-NETWORK APPROACH FOR TIME-SLOT ASSIGNMENT IN TDM MULTICAST SWITCHING SYSTEMS, IEICE transactions on communications, E80B(6), 1997, pp. 939-947
A neural network approach called the ''Gradual Neural Network (GNN)''
for the time slot assignment problem in the TDM multicast switching sy
stem is presented in this paper. The goal of this NP-complete problem
is to find an assignment of packet transmission requests into a minimu
m number of time slots. A packet can be transmitted from one source to
several destinations simultaneously by its replication. A time slot r
epresents a switching configuration of the system with unit time for e
ach packer transmission through an I/O line. The GNN consists of the b
inary neural network and the gradual expansion scheme. The binary neur
al network satisfies the constraints imposed on the system by solving
the motion equation, whereas the gradual expansion scheme minimizes th
e number of required time slots by gradually expanding activated neuro
ns. The performance is evaluated through simulations in practical size
systems, where the GNN finds far better solutions than the best exist
ing algorithm.