Iterative Algorithms for Nash Equilibrium of an Extended OSNR Game

Author

Pan, Yan ; Pavel, Lacra

Author_Institution

Univ. of Toronto, Toronto

fYear

2007

fDate

22-28 April 2007

Firstpage

83

Lastpage

83

Abstract

This paper addresses the problem of optical signal-to-noise ratio (OSNR) optimization problem in optical networks. Based on the extended OSNR Nash game formulation that includes power capacity constraints in [10], the Nash equilibrium (NE) solution is analytically intractable and highly nonlinear. We investigate the properties of the NE solution and based on these, we develop iterative algorithms to compute the NE solution: a parallel update algorithm (PUA) and a relaxed parallel update algorithm (r-PUA). We study their convergence with different conditions, both theoretically and numerically.

Keywords

iterative methods; optical fibre networks; optical noise; Nash equilibrium; extended OSNR game; iterative algorithms; optical networks; optical signal-to-noise ratio; parallel update algorithm; Fiber nonlinear optics; Iterative algorithms; Nash equilibrium; Nonlinear optics; Optical fiber networks; Optical noise; Optical receivers; Optical transmitters; Signal to noise ratio; Stimulated emission;

fLanguage

English

Publisher

ieee

Conference_Titel

Networking, 2007. ICN '07. Sixth International Conference on

Conference_Location

Martinique

Print_ISBN

0-7695-2805-8

Electronic_ISBN

0-7695-2805-8

Type

conf

DOI

10.1109/ICN.2007.54

Filename

4196276