A (1–)-approximation algorithm for the generalized assignment problem
✍ Scribed by Zeev Nutov; Israel Beniaminy; Raphael Yuster
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 173 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
✦ Synopsis
We give a (1-1/e)-approximation algorithm for the max-profit generalized assignment problem (Max-GAP) with fixed profits when the profit (but not necessarily the size) of every item is independent from the bin it is assigned to. The previously best-known approximation ratio for this problem was 1 2 .
📜 SIMILAR VOLUMES
Generalized network flow problems generalize normal network flow problems by specifying a flow multiplier µ v w for each arc v w . For every unit of flow entering the arc, µ v w units of flow exit. We present a strongly polynomial algorithm for a single-source generalized shortest paths problem, usi