Agent-Based Load Balancing on Homogeneous Minigrids: Macroscopic Modeling and Characterization
IEEE Transactions on Parallel and Distributed Systems
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In grid computing, agent-based load balancing is one of the mostimportant problems. In this paper, we present a macroscopic modelto describe the dynamics of agent-based load balancing with timedelays. We concern the number and size of teams where tasks queue.The time gap, during which a single agent searches a suitable nodeand transfers a task to the node, is incorporated into balancingprocessas delay. Our model is composed of functional differentialequations. By numerical simulations, we show that variables (thenumber and size of teams, etc.) in the model remain nonnegative,which is in agreement with the physical background of thevariables. We show that although there is a period of oscillation,the dynamic behavior tends to a steady state, which is in agreementwith the recent experiments on Anthill. An interesting phenomenonis shown: the larger the delay, the longer the period ofoscillation, and the slower the converging speed of load balancing.