This poster presents results on a class of load balancing algorithms for large-scale cloud computing systems. We established steady-state perfor-mance of load balancing algorithms in the heavy traffic regime such that the load of system is approaches to one. This is a typical scenario under demand-response. We established a sufficient condition under which the probability that an incoming job is routed to an idle server is one asymp-totically.

The confluence of two powerful global trends -- the rapid growth of cloud computing and data centers with skyrocketing energy consumption, and the accelerating penetration of renewable energy sources --