On PreemptiveResource Constrained Scheduling: Polynomial-Time Approximation Schemes
โ Scribed by Jansen, Klaus; Porkolab, Lorant
- Book ID
- 118198066
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2006
- Tongue
- English
- Weight
- 231 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
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We consider variants of the classic bin packing and multiple knapsack problems, in which sets of items of di erent classes (colours) need to be placed in bins; the items may have di erent sizes and values. Each bin has a limited capacity, and a bound on the number of distinct classes of items it can
A polynomial time approximation scheme (PTAS) for an optimization problem A is an algorithm that given in input an instance of A and E > 0 find;,; (1 + E)-approximate solution in time that is polynomial for each fixed E. Typical running times are no(+) or 2"' n. While algorithms of the former kind t