Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891839364> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2891839364 endingPage "23" @default.
- W2891839364 startingPage "1" @default.
- W2891839364 abstract "We study the problem of unsplittable flow on a path (UFP), which arises naturally in many applications such as bandwidth allocation, job scheduling, and caching. Here we are given a path with nonnegative edge capacities and a set of tasks, which are characterized by a subpath, a demand, and a profit. The goal is to find the most profitable subset of tasks whose total demand does not violate the edge capacities. Not surprisingly, this problem has received a lot of attention in the research community. If the demand of each task is at most a small-enough fraction δ of the capacity along its subpath (δ- small tasks ), then it has been known for a long time [Chekuri et al., ICALP 2003] how to compute a solution of value arbitrarily close to the optimum via LP rounding. However, much remains unknown for the complementary case, that is, when the demand of each task is at least some fraction δ > 0 of the smallest capacity of its subpath (δ- large tasks ). For this setting, a constant factor approximation is known, improving on an earlier logarithmic approximation [Bonsma et al., FOCS 2011]. In this article, we present a polynomial-time approximation scheme (PTAS) for δ-large tasks, for any constant δ > 0. Key to this result is a complex geometrically inspired dynamic program. Each task is represented as a segment underneath the capacity curve, and we identify a proper maze-like structure so that each corridor of the maze is crossed by only O (1) tasks in the optimal solution. The maze has a tree topology, which guides our dynamic program. Our result implies a 2+ε approximation for UFP, for any constant ε > 0, improving on the previously best 7+ε approximation by Bonsma et al. We remark that our improved approximation algorithm matches the best known approximation ratio for the considerably easier special case of uniform edge capacities." @default.
- W2891839364 created "2018-09-27" @default.
- W2891839364 creator A5000949710 @default.
- W2891839364 creator A5020876546 @default.
- W2891839364 creator A5034276567 @default.
- W2891839364 creator A5067503013 @default.
- W2891839364 date "2018-09-17" @default.
- W2891839364 modified "2023-09-27" @default.
- W2891839364 title "A Mazing 2+ε Approximation for Unsplittable Flow on a Path" @default.
- W2891839364 cites W1507141328 @default.
- W2891839364 cites W1604629374 @default.
- W2891839364 cites W1608651920 @default.
- W2891839364 cites W1846413446 @default.
- W2891839364 cites W1992649763 @default.
- W2891839364 cites W2001532889 @default.
- W2891839364 cites W2015840394 @default.
- W2891839364 cites W2019062750 @default.
- W2891839364 cites W2040756373 @default.
- W2891839364 cites W2049033541 @default.
- W2891839364 cites W2069417991 @default.
- W2891839364 cites W2096347791 @default.
- W2891839364 cites W2103363383 @default.
- W2891839364 cites W2175156623 @default.
- W2891839364 cites W2504092734 @default.
- W2891839364 cites W2809199312 @default.
- W2891839364 cites W4235331094 @default.
- W2891839364 cites W4237140089 @default.
- W2891839364 cites W4247372595 @default.
- W2891839364 doi "https://doi.org/10.1145/3242769" @default.
- W2891839364 hasPublicationYear "2018" @default.
- W2891839364 type Work @default.
- W2891839364 sameAs 2891839364 @default.
- W2891839364 citedByCount "3" @default.
- W2891839364 countsByYear W28918393642021 @default.
- W2891839364 countsByYear W28918393642022 @default.
- W2891839364 crossrefType "journal-article" @default.
- W2891839364 hasAuthorship W2891839364A5000949710 @default.
- W2891839364 hasAuthorship W2891839364A5020876546 @default.
- W2891839364 hasAuthorship W2891839364A5034276567 @default.
- W2891839364 hasAuthorship W2891839364A5067503013 @default.
- W2891839364 hasBestOaLocation W28918393642 @default.
- W2891839364 hasConcept C111919701 @default.
- W2891839364 hasConcept C114614502 @default.
- W2891839364 hasConcept C118615104 @default.
- W2891839364 hasConcept C126255220 @default.
- W2891839364 hasConcept C134306372 @default.
- W2891839364 hasConcept C136625980 @default.
- W2891839364 hasConcept C148764684 @default.
- W2891839364 hasConcept C206729178 @default.
- W2891839364 hasConcept C33923547 @default.
- W2891839364 hasConcept C39927690 @default.
- W2891839364 hasConcept C41008148 @default.
- W2891839364 hasConcept C63553672 @default.
- W2891839364 hasConceptScore W2891839364C111919701 @default.
- W2891839364 hasConceptScore W2891839364C114614502 @default.
- W2891839364 hasConceptScore W2891839364C118615104 @default.
- W2891839364 hasConceptScore W2891839364C126255220 @default.
- W2891839364 hasConceptScore W2891839364C134306372 @default.
- W2891839364 hasConceptScore W2891839364C136625980 @default.
- W2891839364 hasConceptScore W2891839364C148764684 @default.
- W2891839364 hasConceptScore W2891839364C206729178 @default.
- W2891839364 hasConceptScore W2891839364C33923547 @default.
- W2891839364 hasConceptScore W2891839364C39927690 @default.
- W2891839364 hasConceptScore W2891839364C41008148 @default.
- W2891839364 hasConceptScore W2891839364C63553672 @default.
- W2891839364 hasIssue "4" @default.
- W2891839364 hasLocation W28918393641 @default.
- W2891839364 hasLocation W28918393642 @default.
- W2891839364 hasLocation W28918393643 @default.
- W2891839364 hasOpenAccess W2891839364 @default.
- W2891839364 hasPrimaryLocation W28918393641 @default.
- W2891839364 hasRelatedWork W2085325317 @default.
- W2891839364 hasRelatedWork W2125725829 @default.
- W2891839364 hasRelatedWork W2404545274 @default.
- W2891839364 hasRelatedWork W2507810539 @default.
- W2891839364 hasRelatedWork W2788853667 @default.
- W2891839364 hasRelatedWork W3100114454 @default.
- W2891839364 hasRelatedWork W3170602412 @default.
- W2891839364 hasRelatedWork W3183323092 @default.
- W2891839364 hasRelatedWork W4297727143 @default.
- W2891839364 hasRelatedWork W748479430 @default.
- W2891839364 hasVolume "14" @default.
- W2891839364 isParatext "false" @default.
- W2891839364 isRetracted "false" @default.
- W2891839364 magId "2891839364" @default.
- W2891839364 workType "article" @default.