Matrix analysis
Inefficiency of Nash equilibria
Mathematics of Operations Research
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
Efficiency Loss in a Network Resource Allocation Game
Mathematics of Operations Research
Selfish Routing and the Price of Anarchy
Selfish Routing and the Price of Anarchy
A survey on networking games in telecommunications
Computers and Operations Research
Nash equilibrium design and optimization
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
WDM optical communication networks: progress and challenges
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications - Part Supplement
A framework for optimization under limited information
Journal of Global Optimization
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This paper studies a constrained optical signal-tonoise ratio (OSNR) optimization problem in optical networks from the perspective of system performance. A system optimization problem is formulated with the objective of achieving an OSNR target for each channel while satisfying the total power constraint. In order to establish existence of a unique optimal solution, the conditions are derived, which can be used as a basis for an admission control scheme. The original problem is then converted to a relaxed system problem by using a barrier function and solved by a distributed iterative algorithm. Next, the system optimization framework developed is compared to the game theoretic one in [1]. The effects of parameters in both formulations are investigated to study efficiency of Nash equilibria in the OSNR game and pricing mechanisms affecting overall system performance. The theoretical analysis is supported by numerical simulations and experiments conducted on an optical fiber link.