Abstract
We study three on-line models of bin stretching on two machines. For the case where the machines are identical and the jobs arrive sorted by non-increasing sizes, we show a tight bound of 10/9 on the competitive ratio. For two related machines, we show a preemptive algorithm with competitive ratio 1 for any speed ratio, and two new non-preemptive algorithms. We prove that the upper bound on the competitive ratio achieved by the non-preemptive algorithms is optimal for almost any speed ratio, and close to optimal for all other speed ratios.
Original language | English |
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Pages (from-to) | 97-117 |
Number of pages | 21 |
Journal | Acta Informatica |
Volume | 39 |
Issue number | 2 |
DOIs | |
State | Published - 1 Feb 2003 |
Externally published | Yes |
ASJC Scopus subject areas
- Software
- Information Systems
- Computer Networks and Communications