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Allocating tree structured programs in a distributed system with uniform communication costs

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1 Author(s)
Billionnet, A. ; CEDRIC, Inst. d''Inf. d''Enterprise, Evry Cedex, France

Studies the complexity of the problem of allocating m modules to n processors in a distributed system to minimize total communication and execution costs. When the communication graph is a tree, Bokhari has shown that the optimum allocation can be determined in O(mn2) time. Recently, this result has been generalized by Fernandez-Baca, who has proposed an allocation algorithm in O(mnk+1) when the communication graph is a partial k-tree. The author shows that in the case where communication costs are uniform, the module allocation problem can be solved in O(mn) time if the communication graph is a tree. This algorithm is asymptotically optimum

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:5 ,  Issue: 4 )