On polynomial solvability of two multiprocessor scheduling problems

On polynomial solvability of two multiprocessor scheduling problems

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Article ID: iaor20002088
Country: Germany
Volume: 50
Issue: 1
Start Page Number: 27
End Page Number: 51
Publication Date: Jan 1999
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Abstract:

We discuss a new approach for solving multiprocessor scheduling problems by using and improving results for guillotine pallet loading problem. We introduce a new class of schedules by analogy with the guillotine restriction for cutting stock problem and show that many well-known algorithms from classical scheduling theory construct schedules only from this class. We also consider two multiprocessor scheduling problems and prove that they can be solved in polynomial time.

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