Two-timescale Online Resource Management in Smart-Grid Supplied Heterogeneous Cellular Networks

This paper proposes a two-timescale online resource management solution for smart-grid supplied heterogeneous cellular networks, where grid-energy pre-ordering in advance and bidirectional energy trading in real time are performed. We formulate a long-term average energy transaction cost minimization problem considering grid-energy pre-ordering, power allocation, and energy sharing. Leveraging the Lyapunov technique, successive convex approximation method, and stochastic subgradient approach, we develop a two-timescale dynamic optimization (TTDO) algorithm to make online decisions on two time scales. It is theoretically proved that the proposed TTDO algorithm can asymptotically achieve optimality via tuning a control parameter. Numerical tests verify the theoretical results.