In this paper, we present a novel approach for robust optimal resourceallocation with joint carrier aggregation to allocate multiple carriersresources optimally among users with elastic and inelastic traffic in cellularnetworks. We use utility proportional fairness allocation policy, where thefairness among users is in utility percentage of the application running on theuser equipment (UE). Each UE is assigned an application utility function basedon the type of its application. Our objective is to allocate multiple carriersresources optimally among users subscribing for mobile services. In addition,each user is guaranteed a minimum quality of service (QoS) that varies based onthe user's application type. We present a robust algorithm that solves thedrawback in the algorithm presented in [1] by preventing the fluctuations inthe resource allocation process, in the case of scarce resources, and allocatesoptimal rates for both high-traffic and low-traffic situations. Our distributedresource allocation algorithm allocates an optimal rate to each user from allcarriers in its range while providing the minimum price for the allocated rate.In addition, we analyze the convergence of the algorithm with different networktraffic densities and show that our algorithm provides traffic dependentpricing for network providers. Finally, we present simulation results for theperformance of our resource allocation algorithm.
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