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Stackelberg game approach to constrained OSNR nash game in WDM optical networks

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2 Author(s)
Quanyan Zhu ; Department of Electrical and Computer Engineering, University of Toronto, Ontario M5S 3L1, Canada ; Lacra Pavel

This paper formulates a Stackelberg (N + 1)-person non-cooperative game framework for OSNR optimization in optical networks. We introduce cost functions with differentiated prices for users and develop a cost function for the higher level Stackelberg player. In the design, we consider the capacity constraints in optical networks, i.e., that the total optical power does not exceed the link's capacity. We formulate a novel Stackelberg framework in OSNR game and characterize its Stackelberg equilibrium. Based on it, we give a closed form solution and develop an iterative algorithm for the optical network control problem and illustrate the game with a numerical example.

Published in:

2008 American Control Conference

Date of Conference:

11-13 June 2008