Optimal Static Load Balancing in Star Network Configurations with Two-Way Traffic

Abstract

We study the static load balancing problem in a distributed computer system that consists of a set of heterogeneous computer systems interconnected by a star network with two-way traffic. We formulate the static load balancing problem as a nonlinear optimization problem which minimizes the mean response time. We prove that in the optimal solution the satellite nodes in the star network can be divided into four different types: the idle source nodes, the active source nodes, the neutral nodes, and the sink nodes. The necessary and sufficient conditions for optimal solution are studied. An efficient algorithm of complexity O(n) is proposed for the static load balancing of an n-satellite system. The effects of link communication time on optimal load balancing in a star network are also studied by parametric analysis. By employing the proposed algorithm, a significant system performance improvement over that without load balancing is illustrated in a numerical example. The numerical example also shows that the effects of the link communication time in a star network are large.