Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299842315> ?p ?o ?g. }
- W4299842315 abstract "The stochastic matching problem deals with finding a maximum matching in a graph whose edges are unknown but can be accessed via queries. This is a special case of stochastic $k$-set packing, where the problem is to find a maximum packing of sets, each of which exists with some probability. In this paper, we provide edge and set query algorithms for these two problems, respectively, that provably achieve some fraction of the omniscient optimal solution. Our main theoretical result for the stochastic matching (i.e., $2$-set packing) problem is the design of an emph{adaptive} algorithm that queries only a constant number of edges per vertex and achieves a $(1-epsilon)$ fraction of the omniscient optimal solution, for an arbitrarily small $epsilon>0$. Moreover, this adaptive algorithm performs the queries in only a constant number of rounds. We complement this result with a emph{non-adaptive} (i.e., one round of queries) algorithm that achieves a $(0.5 - epsilon)$ fraction of the omniscient optimum. We also extend both our results to stochastic $k$-set packing by designing an adaptive algorithm that achieves a $(frac{2}{k} - epsilon)$ fraction of the omniscient optimal solution, again with only $O(1)$ queries per element. This guarantee is close to the best known polynomial-time approximation ratio of $frac{3}{k+1} -epsilon$ for the emph{deterministic} $k$-set packing problem [Furer and Yu, 2013] We empirically explore the application of (adaptations of) these algorithms to the kidney exchange problem, where patients with end-stage renal failure swap willing but incompatible donors. We show on both generated data and on real data from the first 169 match runs of the UNOS nationwide kidney exchange that even a very small number of non-adaptive edge queries per vertex results in large gains in expected successful matches." @default.
- W4299842315 created "2022-10-03" @default.
- W4299842315 creator A5023571961 @default.
- W4299842315 creator A5024803432 @default.
- W4299842315 creator A5041089506 @default.
- W4299842315 creator A5062816354 @default.
- W4299842315 creator A5071538560 @default.
- W4299842315 creator A5080772091 @default.
- W4299842315 date "2015-06-15" @default.
- W4299842315 modified "2023-09-25" @default.
- W4299842315 title "Ignorance is Almost Bliss" @default.
- W4299842315 cites W1500676409 @default.
- W4299842315 cites W1506936706 @default.
- W4299842315 cites W1788659242 @default.
- W4299842315 cites W1909971775 @default.
- W4299842315 cites W1992753463 @default.
- W4299842315 cites W1997271069 @default.
- W4299842315 cites W2010428983 @default.
- W4299842315 cites W2012193618 @default.
- W4299842315 cites W2014511571 @default.
- W4299842315 cites W2086698286 @default.
- W4299842315 cites W2109309849 @default.
- W4299842315 cites W2117820474 @default.
- W4299842315 cites W2131552728 @default.
- W4299842315 cites W2140118062 @default.
- W4299842315 cites W2149744080 @default.
- W4299842315 cites W2153568425 @default.
- W4299842315 cites W2951221187 @default.
- W4299842315 cites W3121213783 @default.
- W4299842315 cites W3122360041 @default.
- W4299842315 cites W3123258615 @default.
- W4299842315 cites W3124133339 @default.
- W4299842315 cites W4233172940 @default.
- W4299842315 cites W4233190915 @default.
- W4299842315 cites W4242907262 @default.
- W4299842315 cites W68213954 @default.
- W4299842315 doi "https://doi.org/10.1145/2764468.2764479" @default.
- W4299842315 hasPublicationYear "2015" @default.
- W4299842315 type Work @default.
- W4299842315 citedByCount "10" @default.
- W4299842315 countsByYear W42998423152016 @default.
- W4299842315 countsByYear W42998423152017 @default.
- W4299842315 countsByYear W42998423152018 @default.
- W4299842315 countsByYear W42998423152019 @default.
- W4299842315 countsByYear W42998423152020 @default.
- W4299842315 countsByYear W42998423152023 @default.
- W4299842315 crossrefType "proceedings-article" @default.
- W4299842315 hasAuthorship W4299842315A5023571961 @default.
- W4299842315 hasAuthorship W4299842315A5024803432 @default.
- W4299842315 hasAuthorship W4299842315A5041089506 @default.
- W4299842315 hasAuthorship W4299842315A5062816354 @default.
- W4299842315 hasAuthorship W4299842315A5071538560 @default.
- W4299842315 hasAuthorship W4299842315A5080772091 @default.
- W4299842315 hasBestOaLocation W42998423152 @default.
- W4299842315 hasConcept C104317684 @default.
- W4299842315 hasConcept C105795698 @default.
- W4299842315 hasConcept C112313634 @default.
- W4299842315 hasConcept C11413529 @default.
- W4299842315 hasConcept C114614502 @default.
- W4299842315 hasConcept C118615104 @default.
- W4299842315 hasConcept C127716648 @default.
- W4299842315 hasConcept C132525143 @default.
- W4299842315 hasConcept C148764684 @default.
- W4299842315 hasConcept C149629883 @default.
- W4299842315 hasConcept C165064840 @default.
- W4299842315 hasConcept C178790620 @default.
- W4299842315 hasConcept C185592680 @default.
- W4299842315 hasConcept C188082640 @default.
- W4299842315 hasConcept C199360897 @default.
- W4299842315 hasConcept C2777027219 @default.
- W4299842315 hasConcept C33923547 @default.
- W4299842315 hasConcept C41008148 @default.
- W4299842315 hasConcept C55493867 @default.
- W4299842315 hasConcept C80899671 @default.
- W4299842315 hasConceptScore W4299842315C104317684 @default.
- W4299842315 hasConceptScore W4299842315C105795698 @default.
- W4299842315 hasConceptScore W4299842315C112313634 @default.
- W4299842315 hasConceptScore W4299842315C11413529 @default.
- W4299842315 hasConceptScore W4299842315C114614502 @default.
- W4299842315 hasConceptScore W4299842315C118615104 @default.
- W4299842315 hasConceptScore W4299842315C127716648 @default.
- W4299842315 hasConceptScore W4299842315C132525143 @default.
- W4299842315 hasConceptScore W4299842315C148764684 @default.
- W4299842315 hasConceptScore W4299842315C149629883 @default.
- W4299842315 hasConceptScore W4299842315C165064840 @default.
- W4299842315 hasConceptScore W4299842315C178790620 @default.
- W4299842315 hasConceptScore W4299842315C185592680 @default.
- W4299842315 hasConceptScore W4299842315C188082640 @default.
- W4299842315 hasConceptScore W4299842315C199360897 @default.
- W4299842315 hasConceptScore W4299842315C2777027219 @default.
- W4299842315 hasConceptScore W4299842315C33923547 @default.
- W4299842315 hasConceptScore W4299842315C41008148 @default.
- W4299842315 hasConceptScore W4299842315C55493867 @default.
- W4299842315 hasConceptScore W4299842315C80899671 @default.
- W4299842315 hasFunder F4320306076 @default.
- W4299842315 hasFunder F4320306132 @default.
- W4299842315 hasFunder F4320306151 @default.
- W4299842315 hasLocation W42998423151 @default.
- W4299842315 hasLocation W42998423152 @default.
- W4299842315 hasOpenAccess W4299842315 @default.