For a square matrix A, the difference equation y k+1 = y k A generates a sequence of vectors y 0 , y 1 , . . . The long run behavior of this sequence is described in terms of a group obtained from A, A 2 . . . The results are given in a topological semigroup setting so they can also be applied to mo
On-line stream merging in a general setting
β Scribed by Wun-Tat Chan; Tak-Wah Lam; Hing-Fung Ting; Prudence W.H. Wong
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 650 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper is concerned with on-line scheduling algorithms for merging streams in a video-ondemand system so as to minimize the server bandwidth. We present the ΓΏrst algorithm that has a constant competitive factor (precisely, 5). Our algorithm, unlike previous ones, is not limited to the scenario where clients are equipped with large bu er and client receiving bandwidth. It remains 5-competitive in all settings of bu er size and receiving bandwidth. Technically speaking, our algorithm is based on a novel observation that the behavior of any schedule can be modeled by a rectilinear (binary) tree on a grid. This observation eases the analysis of our algorithm as well as the optimal algorithm.
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