Optimal balanced coordinated network resource allocation using swarm optimization

In this research, we present a new balanced coordinated resource allocation algorithm in a network based on semistabilization theory for discrete-time linear systems with stochastic noise and compartmental modeling. Specifically, necessary and sufficient conditions for the convergence of the algorithm and for the existence of solutions based on the new notion of semiobservability to the proposed semistable Lyapunov equations are derived. With this theory, we first present a new framework to design balanced coordinated network resource allocation algorithms by means of a robust and optimal semistable control technique. Next, we convert this optimal control-based design problem into a constrained, nonconvex optimization problem. To solve this optimization problem, we propose a class of swarm optimization-based numerical algorithms called multiagent coordination optimization. Finally, numerical results are provided to validate the proposed design framework.