OSNR optimization in optical networks: extension for capacity constraints

This paper builds on the OSNR model in "Power control for OSNR optimization in optical networks: A noncooperative game approach." (Pavel, 2004) and studies the optimization problem of optical signal to noise ratio (OSNR) in the case of single point-to-point links. An m-player noncooperative game is formulated and the cost function for each channel is introduced, with differentiated prices. The status of the link, i.e. such that the total input optical power will not exceed the link\´s capacity, is considered in the cost function. Conditions for existence and uniqueness of the Nash equilibrium solution are given. Some strategies for dynamic price setting are also discussed, in the context of dynamic channel-add.