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Abstract

For most scheduling problems the set of machines is fixed initially and remains unchanged for the duration of the problem. We consider two basic online scheduling problems with the modification that initially the algorithm possesses no machines, but that at any point additional machines may be purchased. Upper and lower bounds on the competitive ratio are shown for both problems.

Research supported by the START program Y43-MAT of the Austrian Ministry of Science.

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© 1999 Springer-Verlag Berlin Heidelberg

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Imreh, C., Noga, J. (1999). Scheduling with Machine Cost. In: Hochbaum, D.S., Jansen, K., Rolim, J.D.P., Sinclair, A. (eds) Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques. RANDOM APPROX 1999 1999. Lecture Notes in Computer Science, vol 1671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48413-4_18

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  • DOI: https://doi.org/10.1007/978-3-540-48413-4_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66329-4

  • Online ISBN: 978-3-540-48413-4

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