Vertical handover decision (VHD) and radio resource allocation for the handover TIE (RRA) are two important issues in the integration of heterogeneous wireless networks, which are mainly considered separately for network utility problems, although both of them interact from the perspective of temporal dimension. The ergodic utility based joint-optimization algorithms should outperform that independent ones in the sense of optimal resource configuration, although that are generally more complex due to dealing with a more huge state space. In this paper, we proposed a distributed algorithm to immensely decrease the complexity of this joint-optimization algorithm with slightly performance decay, which validated by simulation, and the simulation results demonstrate that separately considering VHD or RRA for ergodic utility maximization has feeble improvement, while jointly consideration shows more improvement.
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