Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14397
For citation please use:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorKönig, Felix G.
dc.contributor.authorLübbecke, Marco E.
dc.contributor.authorMöhring, Rolf H.
dc.contributor.authorSchäfer, Guido
dc.contributor.authorSpenke, Ines
dc.date.accessioned2021-12-17T10:07:36Z-
dc.date.available2021-12-17T10:07:36Z-
dc.date.issued2007
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15624-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14397-
dc.description.abstractWe investigate a complex stacking problem that stems from storage planning of steel slabs in integrated steel production. Besides the practical importance of such stacking tasks, they are appealing from a theoretical point of view. We show that already a simple version of our stacking problem is PSPACE-complete. Thus, fast algorithms for computing provably good solutions as they are required for practical purposes raise various algorithmic challenges. We describe an algorithm that computes solutions within 5/4 of optimality for all our real-world test instances. The basic idea is a search in an exponential state space that is guided by a state-valuation function. The algorithm is extremely fast and solves practical instances within a few seconds. We assess the quality of our solutions by computing instance-dependent lower bounds from a combinatorial relaxation formulated as mixed integer program. To the best of our knowledge, this is the first approach that provides quality guarantees for such problems.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherstacken
dc.subject.otherPSPACE-completeen
dc.subject.othernondeterministic constraint logicen
dc.subject.otherrollout algorithmsen
dc.subject.otherreal-world applicationen
dc.titleSolutions to Real-World Instances of PSPACE-Complete Stackingen
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2007, 04en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
Appears in Collections:Technische Universität Berlin » Publications

Files in This Item:
Report-004-2007.pdf
Format: Adobe PDF | Size: 185.52 kB
DownloadShow Preview
Thumbnail
Report-004-2007.ps
Format: Postscript | Size: 397.69 kB
Download

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.