We consider the problem of scheduling permanent jobs on related machines in an on-line fashion. We design a new algorithm that achieves the competitive ratio ' of 3 q 8 f 5.828 for the deterministic version, and 3.31rln 2.155 f 4.311 for its randomized variant, improving the previous competitive rat
On-Line Load Balancing of Temporary Tasks
β Scribed by Yossi Azar; Bala Kalyanasundaram; Serge Plotkin; Kirk R Pruhs; Orli Waarts
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 181 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
β¦ Synopsis
O n -competitive algorithm. In addition, trying to overcome the β n lower bound for the case of unknown task duration, this paper initiates a study of the Ε½ load balancing problem for tasks with known duration i.e., the duration of a task . Ε½ . becomes known upon its arrival . For this case we show an O log nT -competitive algorithm, where T is the ratio of the maximum possible duration of a task to the minimum possible duration of a task. The paper explores an alternative way to ' Ε½ . overcome the β n bound; it considers the related machines case with unknown task duration. In the related machines case, a task can be executed by any machine and the increase in load depends on the speed of the machine and the weight of the task. For this case the paper gives a 20-competitive algorithm and shows a Ε½ . lower bound of 3 y o 1 on the competitive ratio.
π SIMILAR VOLUMES
The problem of a transmission line closed on a lumped nonlinear load is analyzed. The problem of obtaining the load reflection coefficient and equi¨alent impedance is addressed and sol¨ed numerically for generic nonlinear loads and analytically for a diode.