Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301910032> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4301910032 abstract "We study the performance of a best reply algorithm for online resource allocation problems with a diseconomy of scale. In an online resource allocation problem, we are given a set of resources and a set of requests that arrive in an online manner. Each request consists of a set of feasible allocations and an allocation is a set of resources. The total cost of an allocation vector is given by the sum of the resources' costs, where each resource's cost depends on the total load on the resource under the allocation vector. We analyze the natural online procedure where each request is allocated greedily to a feasible set of resources that minimizes the individual cost of that particular request. In the literature, this algorithm is also known as a one-round walk-in congestion games starting from the empty state. For unweighted resource allocation problems with polynomial cost functions with maximum degree $d$, upper bounds on the competitive ratio of this greedy algorithm were known only for the special cases $din{1, 2, 3}$. In this paper, we show a general upper bound on the competitive ratio of $d(d / W(frac{1.2d-1}{d+1}))^{d+1}$ for the unweighted case where $W$ denotes the Lambert-W function on $mathbb{R}_{geq 0}$. For the weighted case, we show that the competitive ratio of the greedy algorithm is bounded from above by $(d/W(frac{d}{d+1}))^{d+1}$." @default.
- W4301910032 created "2022-10-06" @default.
- W4301910032 creator A5029539508 @default.
- W4301910032 creator A5071345084 @default.
- W4301910032 creator A5087608313 @default.
- W4301910032 date "2018-05-07" @default.
- W4301910032 modified "2023-09-27" @default.
- W4301910032 title "The Online Best Reply Algorithm for Resource Allocation Problems" @default.
- W4301910032 doi "https://doi.org/10.48550/arxiv.1805.02526" @default.
- W4301910032 hasPublicationYear "2018" @default.
- W4301910032 type Work @default.
- W4301910032 citedByCount "0" @default.
- W4301910032 crossrefType "posted-content" @default.
- W4301910032 hasAuthorship W4301910032A5029539508 @default.
- W4301910032 hasAuthorship W4301910032A5071345084 @default.
- W4301910032 hasAuthorship W4301910032A5087608313 @default.
- W4301910032 hasBestOaLocation W43019100321 @default.
- W4301910032 hasConcept C102408133 @default.
- W4301910032 hasConcept C114614502 @default.
- W4301910032 hasConcept C126255220 @default.
- W4301910032 hasConcept C134306372 @default.
- W4301910032 hasConcept C14036430 @default.
- W4301910032 hasConcept C177264268 @default.
- W4301910032 hasConcept C196921405 @default.
- W4301910032 hasConcept C199360897 @default.
- W4301910032 hasConcept C206345919 @default.
- W4301910032 hasConcept C29202148 @default.
- W4301910032 hasConcept C31258907 @default.
- W4301910032 hasConcept C33923547 @default.
- W4301910032 hasConcept C34388435 @default.
- W4301910032 hasConcept C41008148 @default.
- W4301910032 hasConcept C51823790 @default.
- W4301910032 hasConcept C77553402 @default.
- W4301910032 hasConcept C78458016 @default.
- W4301910032 hasConcept C86803240 @default.
- W4301910032 hasConceptScore W4301910032C102408133 @default.
- W4301910032 hasConceptScore W4301910032C114614502 @default.
- W4301910032 hasConceptScore W4301910032C126255220 @default.
- W4301910032 hasConceptScore W4301910032C134306372 @default.
- W4301910032 hasConceptScore W4301910032C14036430 @default.
- W4301910032 hasConceptScore W4301910032C177264268 @default.
- W4301910032 hasConceptScore W4301910032C196921405 @default.
- W4301910032 hasConceptScore W4301910032C199360897 @default.
- W4301910032 hasConceptScore W4301910032C206345919 @default.
- W4301910032 hasConceptScore W4301910032C29202148 @default.
- W4301910032 hasConceptScore W4301910032C31258907 @default.
- W4301910032 hasConceptScore W4301910032C33923547 @default.
- W4301910032 hasConceptScore W4301910032C34388435 @default.
- W4301910032 hasConceptScore W4301910032C41008148 @default.
- W4301910032 hasConceptScore W4301910032C51823790 @default.
- W4301910032 hasConceptScore W4301910032C77553402 @default.
- W4301910032 hasConceptScore W4301910032C78458016 @default.
- W4301910032 hasConceptScore W4301910032C86803240 @default.
- W4301910032 hasLocation W43019100321 @default.
- W4301910032 hasOpenAccess W4301910032 @default.
- W4301910032 hasPrimaryLocation W43019100321 @default.
- W4301910032 hasRelatedWork W1506355634 @default.
- W4301910032 hasRelatedWork W2070546659 @default.
- W4301910032 hasRelatedWork W2465058241 @default.
- W4301910032 hasRelatedWork W2534143023 @default.
- W4301910032 hasRelatedWork W2593235372 @default.
- W4301910032 hasRelatedWork W272710231 @default.
- W4301910032 hasRelatedWork W2911984265 @default.
- W4301910032 hasRelatedWork W2950145751 @default.
- W4301910032 hasRelatedWork W4297780966 @default.
- W4301910032 hasRelatedWork W4300171866 @default.
- W4301910032 isParatext "false" @default.
- W4301910032 isRetracted "false" @default.
- W4301910032 workType "article" @default.