# DECENTRALIZED LOAD BALANCING IN HETEROGENEOUS SYSTEMS USING DIFFUSION APPROACH

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4 0 N N N Figure 1: when loads are moved in small proportion to the deficit neighbors To analyze the above techniques, let consider in Figure 1, the nodes are sending loads cautiously where the load fluctuations could not occur and all nodes reach stable state slowly. A node is said to be reached to the stable state when the loads of nodes are equal to the average load of the system. Another approach is to distribute half of the loads to the deficient neighbors which avoid load fluctuations and also faster convergence is achieved but it would not work for few networks as shown in below figure Figure 2: A network showing one deficit neighbour targeted by all loaded nodes. As seen in the above figure every node attempts to send half its load to only one deficit neighbour and the deficit neighbour with load value equal to zero becomes 50* N and it is the node in the network which is heavily loaded and it takes O(N) time to make the system into stable state. But when below topology is considered as shown in the figure 3 and the same logic is applied, the nodes in the system reaches stable state in a single step. 50 Figure 3: four nodes with two nodes heavily loaded and two nodes with zero load. 4 Proposed method Keeping in view of the above mentioned problems, the algorithm DISHET has been proposed which uses a diffusion approach for sending the loads to the deficient neighbors. This algorithm is run in each node i. 4.1 Description of the proposed method In a proposed method, a set of deficit neighbors of domain of node i is given by DN j N L L (1) After identifying the deficit neighbors of domain of node i, the load average domain of node i is calculated by using the formula L = (2) Note in the above equation the processing capacities of the nodes are taken into account which is true in heterogeneous computing. In general if node i take t i time units to process a task t and node j takes t j time units to

9 Figure-1: Iteration Vs No. Of Nodes Figure-2: Response Time Vs No. of Nodes Figure-3: Throughput Vs Load 237

10 Graphs for spike load distribution Figure-4: Iteration Vs No of Nodes Figure-5: Response Time Vs No of Nodes 238

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