Scheduling independent jobs on partitionable hypercubes
Journal of Parallel and Distributed Computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
On Job Scheduling on a Hypercube
IEEE Transactions on Parallel and Distributed Systems
The Journal of Supercomputing
On the weak computability of a four dimensional orthogonal packing and time scheduling problem
Theoretical Computer Science
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In this paper, we consider the problem of nonpreemptively scheduling independent jobs so as to minimize overall finish time on an m-dimensional hypercube system. This problem is NP-hard. We propose a polynomial time approximation algorithm and prove that the absolute performance ratio of the algorithm does not exceed 1.875. This is the first algorithm achieving an absolute performance ratio less than two by a constant.