Is there an optimum dynamic load balancing scheme?

Several dynamic load balancing schemes have been proposed in the literature to solve the hot spot problem in cellular networks. In O. K. Tonguz and E. Yanmaz (2003), a unified theoretical framework for the performance analysis of dynamic load balancing schemes in cellular networks have been developed, and closed-form expressions for the call blocking probability of several existing dynamic load balancing schemes have been derived. However, to the best of our knowledge, an analysis showing which one of these dynamic load balancing schemes is optimum, in terms of the achievable call blocking probability, has not been reported before. In this paper, we explore, for the first time, if a global optimum dynamic load balancing scheme exists, and we examine if and under which conditions the existing dynamic load balancing schemes can achieve optimality.