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A cognitive radio network improves the spectrum utilization. In this paper, we present a distributed algorithm for scheduling and spectrum allocation, they maximize the networks throughput. During each time slot, the scheduling and spectrum allocation problems selecting a subset of links to be activated, and allocate the available resources to these links. This problem is considered as an aggregate utility maximization problem. The queuing analysis used to characterize the throughput and delay performance of the network and throughput is maximized by Lagrangian duality theory. The problems are divided into a set of sub problems that can be solved locally by using dual decomposition framework, & it allows us to develop distributed algorithm.

Throughput maximization in distributed cognitive radio wireless mesh networks using lagrangian duality theory