FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1993661885> ?p ?o ?g. }

• W1993661885 endingPage "769" @default.
• W1993661885 startingPage "741" @default.
• W1993661885 abstract "Solving convex quadratic integer minimization problems by a branch-and-bound algorithm requires tight lower bounds on the optimal objective value. To obtain such dual bounds, we follow the approach of [C. Buchheim, A. Caprara, and A. Lodi, Math. Program., 135 (2012), pp. 369--395] and underestimate the objective function by another convex quadratic function that can be minimized over the integers by simply rounding its continuous minimizer. In geometric terms, we approximate the sublevel sets of the original objective function by auxiliary ellipsoids having the strong rounding property, introduced by [R. Hübner and A. Schöbel, European J. Oper. Res., 237 (2014), pp. 404--410]. We first consider axisparallel ellipsoids (corresponding to separable convex quadratic functions) and show how to efficiently compute an axisparallel ellipsoid yielding the tightest lower bound, both in the situation where the location of the continuous minimizer is given and in the situation where it varies, as it happens in a branch-and-bound approach. In the latter case, we compute both worst-case and average-case optimal ellipsoids. Moreover, we consider the class of quasi-round ellipsoids (from Hübner and Schöbel). In this case, we do not know whether optimal auxiliary ellipsoids can be computed efficiently. However, we present a heuristic for computing an appropriate quasi-round ellipsoid that still yields valid dual bounds; it turns out that using this approach within a branch-and-bound scheme outperforms the approaches based on axisparallel ellipsoid in terms of running times. We finally combine both approaches by introducing the concept of quasi-axisparallel ellipsoids and present a corresponding extension of the heuristic bound computation." @default.
• W1993661885 created "2016-06-24" @default.
• W1993661885 creator A5066641730 @default.
• W1993661885 creator A5068340982 @default.
• W1993661885 creator A5070280223 @default.
• W1993661885 date "2015-01-01" @default.
• W1993661885 modified "2023-09-23" @default.
• W1993661885 title "Ellipsoid Bounds for Convex Quadratic Integer Programming" @default.
• W1993661885 cites W1985123706 @default.
• W1993661885 cites W1987675495 @default.
• W1993661885 cites W1997002146 @default.
• W1993661885 cites W1997215277 @default.
• W1993661885 cites W2025896865 @default.
• W1993661885 cites W2037033044 @default.
• W1993661885 cites W2038611554 @default.
• W1993661885 cites W2039313577 @default.
• W1993661885 cites W2051986176 @default.
• W1993661885 cites W2060048272 @default.
• W1993661885 cites W2082874874 @default.
• W1993661885 cites W2088053023 @default.
• W1993661885 cites W2142097077 @default.
• W1993661885 cites W2912475851 @default.
• W1993661885 cites W2912522929 @default.
• W1993661885 doi "https://doi.org/10.1137/130929187" @default.
• W1993661885 hasPublicationYear "2015" @default.
• W1993661885 type Work @default.
• W1993661885 sameAs 1993661885 @default.
• W1993661885 citedByCount "11" @default.
• W1993661885 countsByYear W19936618852015 @default.
• W1993661885 countsByYear W19936618852017 @default.
• W1993661885 countsByYear W19936618852018 @default.
• W1993661885 countsByYear W19936618852021 @default.
• W1993661885 countsByYear W19936618852022 @default.
• W1993661885 crossrefType "journal-article" @default.
• W1993661885 hasAuthorship W1993661885A5066641730 @default.
• W1993661885 hasAuthorship W1993661885A5068340982 @default.
• W1993661885 hasAuthorship W1993661885A5070280223 @default.
• W1993661885 hasConcept C111919701 @default.
• W1993661885 hasConcept C112680207 @default.
• W1993661885 hasConcept C114614502 @default.
• W1993661885 hasConcept C12108790 @default.
• W1993661885 hasConcept C121332964 @default.
• W1993661885 hasConcept C126255220 @default.
• W1993661885 hasConcept C1276947 @default.
• W1993661885 hasConcept C129844170 @default.
• W1993661885 hasConcept C134306372 @default.
• W1993661885 hasConcept C136625980 @default.
• W1993661885 hasConcept C14036430 @default.
• W1993661885 hasConcept C157972887 @default.
• W1993661885 hasConcept C205451395 @default.
• W1993661885 hasConcept C2524010 @default.
• W1993661885 hasConcept C33923547 @default.
• W1993661885 hasConcept C41008148 @default.
• W1993661885 hasConcept C56086750 @default.
• W1993661885 hasConcept C57489055 @default.
• W1993661885 hasConcept C77553402 @default.
• W1993661885 hasConcept C78458016 @default.
• W1993661885 hasConcept C86803240 @default.
• W1993661885 hasConcept C93693863 @default.
• W1993661885 hasConceptScore W1993661885C111919701 @default.
• W1993661885 hasConceptScore W1993661885C112680207 @default.
• W1993661885 hasConceptScore W1993661885C114614502 @default.
• W1993661885 hasConceptScore W1993661885C12108790 @default.
• W1993661885 hasConceptScore W1993661885C121332964 @default.
• W1993661885 hasConceptScore W1993661885C126255220 @default.
• W1993661885 hasConceptScore W1993661885C1276947 @default.
• W1993661885 hasConceptScore W1993661885C129844170 @default.
• W1993661885 hasConceptScore W1993661885C134306372 @default.
• W1993661885 hasConceptScore W1993661885C136625980 @default.
• W1993661885 hasConceptScore W1993661885C14036430 @default.
• W1993661885 hasConceptScore W1993661885C157972887 @default.
• W1993661885 hasConceptScore W1993661885C205451395 @default.
• W1993661885 hasConceptScore W1993661885C2524010 @default.
• W1993661885 hasConceptScore W1993661885C33923547 @default.
• W1993661885 hasConceptScore W1993661885C41008148 @default.
• W1993661885 hasConceptScore W1993661885C56086750 @default.
• W1993661885 hasConceptScore W1993661885C57489055 @default.
• W1993661885 hasConceptScore W1993661885C77553402 @default.
• W1993661885 hasConceptScore W1993661885C78458016 @default.
• W1993661885 hasConceptScore W1993661885C86803240 @default.
• W1993661885 hasConceptScore W1993661885C93693863 @default.
• W1993661885 hasIssue "2" @default.
• W1993661885 hasLocation W19936618851 @default.
• W1993661885 hasOpenAccess W1993661885 @default.
• W1993661885 hasPrimaryLocation W19936618851 @default.
• W1993661885 hasRelatedWork W1993661885 @default.
• W1993661885 hasRelatedWork W1997215277 @default.
• W1993661885 hasRelatedWork W2010249275 @default.
• W1993661885 hasRelatedWork W2016417822 @default.
• W1993661885 hasRelatedWork W2037603740 @default.
• W1993661885 hasRelatedWork W2075670414 @default.
• W1993661885 hasRelatedWork W2118014423 @default.
• W1993661885 hasRelatedWork W2367260314 @default.
• W1993661885 hasRelatedWork W2394256002 @default.
• W1993661885 hasRelatedWork W2593172254 @default.
• W1993661885 hasVolume "25" @default.
• W1993661885 isParatext "false" @default.
• W1993661885 isRetracted "false" @default.

• next