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| File | Size | Format | |
|---|---|---|---|
| OWP2008_10.pdf | 238,46 kB | Adobe PDF | View/Open |
| Title: | Nonlinear optimization over a weighted independence system |
| Authors: | Lee, Jon; Onn, Shmuel; Weismantel, Robert |
| Publishers version: | https://doi.org/10.14760/OWP-2008-10 |
| URI: | https://doi.org/10.34657/2743 https://oa.tib.eu/renate/handle/123456789/3459 |
| Issue Date: | 2008 |
| Published in: | Oberwolfach Preprints (OWP), Volume 2008-10, ISSN 1864-7596 |
| Journal: | Oberwolfach Preprints (OWP) |
| Volume: | 2008-10 |
| Publisher: | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach |
| Abstract: | We consider the problem of optimizing a nonlinear objective function over a weighted independence system presented by a linear-optimization oracle. We provide a polynomial-time algorithm that determines an r-best solution for nonlinear functions of the total weight of an independent set, where r is a constant that depends on certain Frobenius numbers of the individual weights and is independent of the size of the ground set. In contrast, we show that finding an optimal (0-best) solution requires exponential time even in a very special case of the problem. |
| Type: | report; Text |
| Publishing status: | publishedVersion |
| DDC: | 510 |
| License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
| Appears in Collections: | Mathematik |
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Lee, Jon, Shmuel Onn and Robert Weismantel, 2008. Nonlinear optimization over a weighted independence system. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Lee, J., Onn, S. and Weismantel, R. (2008) Nonlinear optimization over a weighted independence system. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. doi: https://doi.org/10.14760/OWP-2008-10.
Lee J, Onn S, Weismantel R. Nonlinear optimization over a weighted independence system. Vol. 2008-10. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2008.
Lee, J., Onn, S., & Weismantel, R. (2008). Nonlinear optimization over a weighted independence system (Version publishedVersion, Vol. 2008-10). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org/https://doi.org/10.14760/OWP-2008-10
Lee J, Onn S, Weismantel R. Nonlinear optimization over a weighted independence system. Vol. 2008-10. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2008. doi:https://doi.org/10.14760/OWP-2008-10
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