Matches in SemOpenAlex for { <https://semopenalex.org/work/W1680337629> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W1680337629 endingPage "118" @default.
- W1680337629 startingPage "107" @default.
- W1680337629 abstract "We improve complexity bounds for energy-efficient non-preemptive scheduling problems for both the single processor and multi-processor cases. As energy conservation has become a major concern, traditional scheduling problems have been revisited in the past few years to take into account the energy consumption [1]. We consider the speed scaling setting introduced by Yao et al. [20] where a set of jobs, each with a release date, deadline and work volume, are to be scheduled on a set of identical processors. The processors may change speed as a function of time and the energy they consume is the $$alpha $$ th power of their speed integrated over time. The objective is then to find a feasible non-preemptive schedule which minimizes the total energy used. We show that for an arbitrarily number of processors and jobs with equal work volumes there is a $$2(1+varepsilon )(5(1+varepsilon ))^{alpha -1}tilde{B}_{alpha }=O_{alpha }(1)$$ approximation algorithm, where $$tilde{B}_{alpha }$$ is the generalized Bell number. This is the first constant factor algorithm for the multi-processor case, and this also extends to arbitrary processor-dependent work volumes, up to losing a factor of $$(frac{(1+r)r}{2})^{alpha }$$ in the approximation, where $$r$$ is the maximum ratio between two work volumes. For the single processor case, we introduce a new linear programming formulation of speed scaling, using a new constraint capturing non-preemption, and prove that its integrality gap is at most $$12^{alpha -1}$$ . With our new constraint we improve on the previously known unbounded integrality gap of at least $$varOmega (n^{alpha -1})$$ . Finally, we deal with the inapproximabilty of speed scaling and we prove that the multi-processor case is APX-hard, even in the special case where all release dates and deadlines are equal and $$r$$ is 4." @default.
- W1680337629 created "2016-06-24" @default.
- W1680337629 creator A5011937346 @default.
- W1680337629 creator A5035864448 @default.
- W1680337629 creator A5074251728 @default.
- W1680337629 creator A5077085731 @default.
- W1680337629 date "2015-01-01" @default.
- W1680337629 modified "2023-09-25" @default.
- W1680337629 title "Energy-Efficient Algorithms for Non-preemptive Speed-Scaling" @default.
- W1680337629 cites W1488422606 @default.
- W1680337629 cites W1629553384 @default.
- W1680337629 cites W1680337629 @default.
- W1680337629 cites W1735147695 @default.
- W1680337629 cites W1973862828 @default.
- W1680337629 cites W1985474394 @default.
- W1680337629 cites W2014008637 @default.
- W1680337629 cites W2014369282 @default.
- W1680337629 cites W2041438374 @default.
- W1680337629 cites W2049060423 @default.
- W1680337629 cites W2070226247 @default.
- W1680337629 cites W2102201348 @default.
- W1680337629 cites W2137563419 @default.
- W1680337629 cites W2138779116 @default.
- W1680337629 cites W2159187451 @default.
- W1680337629 cites W2406628834 @default.
- W1680337629 cites W3161056635 @default.
- W1680337629 doi "https://doi.org/10.1007/978-3-319-18263-6_10" @default.
- W1680337629 hasPublicationYear "2015" @default.
- W1680337629 type Work @default.
- W1680337629 sameAs 1680337629 @default.
- W1680337629 citedByCount "13" @default.
- W1680337629 countsByYear W16803376292014 @default.
- W1680337629 countsByYear W16803376292015 @default.
- W1680337629 countsByYear W16803376292016 @default.
- W1680337629 countsByYear W16803376292017 @default.
- W1680337629 countsByYear W16803376292020 @default.
- W1680337629 crossrefType "book-chapter" @default.
- W1680337629 hasAuthorship W1680337629A5011937346 @default.
- W1680337629 hasAuthorship W1680337629A5035864448 @default.
- W1680337629 hasAuthorship W1680337629A5074251728 @default.
- W1680337629 hasAuthorship W1680337629A5077085731 @default.
- W1680337629 hasBestOaLocation W16803376293 @default.
- W1680337629 hasConcept C105795698 @default.
- W1680337629 hasConcept C111919701 @default.
- W1680337629 hasConcept C11413529 @default.
- W1680337629 hasConcept C126255220 @default.
- W1680337629 hasConcept C148764684 @default.
- W1680337629 hasConcept C173608175 @default.
- W1680337629 hasConcept C186370098 @default.
- W1680337629 hasConcept C206729178 @default.
- W1680337629 hasConcept C206952183 @default.
- W1680337629 hasConcept C2524010 @default.
- W1680337629 hasConcept C33923547 @default.
- W1680337629 hasConcept C41008148 @default.
- W1680337629 hasConcept C68387754 @default.
- W1680337629 hasConcept C99844830 @default.
- W1680337629 hasConceptScore W1680337629C105795698 @default.
- W1680337629 hasConceptScore W1680337629C111919701 @default.
- W1680337629 hasConceptScore W1680337629C11413529 @default.
- W1680337629 hasConceptScore W1680337629C126255220 @default.
- W1680337629 hasConceptScore W1680337629C148764684 @default.
- W1680337629 hasConceptScore W1680337629C173608175 @default.
- W1680337629 hasConceptScore W1680337629C186370098 @default.
- W1680337629 hasConceptScore W1680337629C206729178 @default.
- W1680337629 hasConceptScore W1680337629C206952183 @default.
- W1680337629 hasConceptScore W1680337629C2524010 @default.
- W1680337629 hasConceptScore W1680337629C33923547 @default.
- W1680337629 hasConceptScore W1680337629C41008148 @default.
- W1680337629 hasConceptScore W1680337629C68387754 @default.
- W1680337629 hasConceptScore W1680337629C99844830 @default.
- W1680337629 hasLocation W16803376291 @default.
- W1680337629 hasLocation W16803376292 @default.
- W1680337629 hasLocation W16803376293 @default.
- W1680337629 hasLocation W16803376294 @default.
- W1680337629 hasOpenAccess W1680337629 @default.
- W1680337629 hasPrimaryLocation W16803376291 @default.
- W1680337629 hasRelatedWork W1601830085 @default.
- W1680337629 hasRelatedWork W1646436690 @default.
- W1680337629 hasRelatedWork W1987536045 @default.
- W1680337629 hasRelatedWork W1992741870 @default.
- W1680337629 hasRelatedWork W1995157101 @default.
- W1680337629 hasRelatedWork W2049602716 @default.
- W1680337629 hasRelatedWork W2117014006 @default.
- W1680337629 hasRelatedWork W2152903775 @default.
- W1680337629 hasRelatedWork W2372170743 @default.
- W1680337629 hasRelatedWork W4233815414 @default.
- W1680337629 isParatext "false" @default.
- W1680337629 isRetracted "false" @default.
- W1680337629 magId "1680337629" @default.
- W1680337629 workType "book-chapter" @default.