Earliest Arrival Flows with Multiple Sources

dc.contributor.authorBaumann, Nadine
dc.contributor.authorSkutella, Martin
dc.date.accessioned2021-12-17T10:07:41Z
dc.date.available2021-12-17T10:07:41Z
dc.date.issued2008
dc.description.abstractEarliest arrival flows capture the essence of evacuation planning. Given a network with capacities and transit times on the arcs, a subset of source nodes with supplies and a sink node, the task is to send the given supplies from the sources to the sink "as quickly as possible". The latter requirement is made more precise by the earliest arrival property which requires that the total amount of flow that has arrived at the sink is maximal for all points in time simultaneously. It is a classical result from the 1970s that, for the special case of a single source node, earliest arrival flows do exist and can be computed by essentially applying the Successive Shortest Path Algorithm for min-cost flow computations. While it has previously been observed that an earliest arrival flow still exists for multiple sources, the problem of computing one efficiently has been open for many years. We present an exact algorithm for this problem whose running time is strongly polynomial in the input plus output size of the problem.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15628
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14401
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.othernetwork flowen
dc.subject.otherflow over timeen
dc.subject.otherearliest arrival flowen
dc.subject.otherevacuation problemen
dc.titleEarliest Arrival Flows with Multiple Sourcesen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2008, 35en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen

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