Complexity of scheduling multiprocessor tasks with prespecified processor allocations
Discrete Applied Mathematics
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ESA '97 Proceedings of the 5th Annual European Symposium on Algorithms
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FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
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MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
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APPROX '01/RANDOM '01 Proceedings of the 4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems and 5th International Workshop on Randomization and Approximation Techniques in Computer Science: Approximation, Randomization and Combinatorial Optimization
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FCT '01 Proceedings of the 13th International Symposium on Fundamentals of Computation Theory
On Minimizing Average Weighted Completion Time: A PTAS for Scheduling General Multiprocessor Tasks
FCT '01 Proceedings of the 13th International Symposium on Fundamentals of Computation Theory
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ACM Transactions on Algorithms (TALG)
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WAOA'04 Proceedings of the Second international conference on Approximation and Online Algorithms
Job scheduling using successive linear programming approximations of a sparse model
Euro-Par'12 Proceedings of the 18th international conference on Parallel Processing
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We propose a polynomial time approximation scheme for scheduling a set of dedicated tasks on a constant number m of processors in order to minimize the sum of completion times Pm|fixj|+Cj. In addition we give a polynomial time approximation scheme for the weighted preemptive problem with release dates, Pm|fixj, pmtn, rj|+wjCj.