# Load Balancing Between Heterogenous Computing Clusters

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7 (a) (b) (c) (d) 7 9 Figure 3. Example to show the execution of the DEM (a) (b) (c) (d) Figure 4. Example to show the execution of the improved DEM. 7

11 Revised Improved DEM Let node u = u 1 u 2...u n and v = v 1 v 2...v n. for k = 0 to n 1 node u exchange with node v the current value of w u and w v, where (u v) 2 k = 0, and the number of processing nodes p u and p v if k n if (w u /p u w v /p v ) > 0 and u k+1 = 0, send w u (w u + w v )/(p u + p v ) p u tasks to node v w u = w u (w u + w v )/(p u + p v ) p u if (w u /p u w v /p v ) > 0 and u k+1 = 1, send w u (w u + w v )/(p u + p v ) p u tasks to node v w u = w u (w u + w v )/(p u + p v ) p u if (w v /p v w u /p u ) > 0 and u k+1 = 0, receive w v (w u + w v )/(p u + p v ) p v tasks from node v w u = w v (w u + w v )/(p u + p v ) p v if (w v /p v w u /p u ) > 0 and u k+1 = 1, receive w v (w u + w v )/(p u + p v ) p v tasks from node v w u = w v (w u + w v )/(p u + p v ) p v else if (w u /p u w v /p v ) > 1 send w u (w u + w v )/(p u + p v ) p u tasks to node v w u = w u (w u + w v )/(p u + p v ) p u if (w v /p v w u /p u ) > 1 receive w v (w u + w v )/(p u + p v ) p v tasks from node v w u = w v (w u + w v )/(p u + p v ) p v Figure 5: The revised improved DEM algorithm for Computing Cluster of various sizes. 11

13 [6] C.Z. Xu and F.C.M. Lau, The generalized dimension exchange method for load balancing in k-ary n-cube and variants. Journal of Parallel and Distributed Computing, (24)1, January 1995, Pages [7] S. Ranka, Y. Won, and S. Sahni, Programming a hypercube multicomputer, IEEE Software, (24)1, September 19, Pages

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