Virtual Topology Design of Optical Multihop Networks via Hopfield Neural Network

Abstract

In this paper, a new approach for designing the virtual topology of optical multihop networks has been developed. The considerations when designing an optical multihop network, such as wavelength assignment and traffic routing problem have been investigated. The objective function of designing virtual topology is the propagation delay and/or transmission delay of the optical multihop traffics. The optical networks with 8 nodes have been designed based on different types of traffic demands. The design approach is based on the Hopfield neural network (HNN) model. With this method, the optimal solutions for designing optical multihop network have been obtained. All the solutions are compared with results of the previous researchers and good agreement has been observed, thus establishing the validity of the method developed.

A New Approach for Virtual Topology Design in Multihop Lightwave Networks

“…The traffic demand matrices are same as in [1][2][3]. In a small optical multihop network, generally the capacity of each link is considered to be same.…”

“…In a small optical multihop network, generally the capacity of each link is considered to be same. The normalized capacity matrix for this network is given as: [3]. Figure 5 is the initial condition of distribution of neurons and fake nodes with just one neuron in the neural network.…”

“…Most of the Wavelength Division Multiplexing (WDM) optical networks today use an optical star coupler as the underlying physical topology [1][2][3][4][5][6][7][8][9][10]. The main property of these types of networks is the independence between physical and logical topology [1,2,[4][5][6] Based on the same physical topology, a different logical topology, usually called virtual topology of the network, can be obtained.…”

“…The main property of these types of networks is the independence between physical and logical topology [1,2,[4][5][6] Based on the same physical topology, a different logical topology, usually called virtual topology of the network, can be obtained. Among all the traffic routing approaches, multihop is one of the most popular due to its vast capacity potential.…”

“…They have been used to solve routing problem of communication traffic [2,3,12]. In [2] and [3], an attempt has been made to use Hopfield Neural Network (BNN) for designing the virtual topology of optical multihop network. It has been shown that NNs are suitable for multivariable and multidimensional optimization problems due to their dynamic and nonlinear characteristics.…”