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Stable Flows over Time
TU Berlin, Institut f¨ur Mathematik, Straße des 17. Juni 136, Berlin 10623, Germany
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Received: 31 December 2012; in revised form: 27 July 2013 / Accepted: 9 August 2013 / Published: 21 August 2013
Abstract: In this paper, the notion of stability is extended to network flows over time. As a useful device in our proofs, we present an elegant preflow-push variant of the Gale-Shapley algorithm that operates directly on the given network and computes stable flows in pseudo-polynomial time, both in the static flow and the flow over time case. We show periodical properties of stable flows over time on networks with an infinite time horizon. Finally, we discuss the influence of storage at vertices, with different results depending on the priority of the corresponding holdover edges.
Keywords: stable matchings; stable flows; flows over time
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MDPI and ACS Style
Cseh, Á.; Matuschke, J.; Skutella, M. Stable Flows over Time. Algorithms 2013, 6, 532-545.
Cseh Á, Matuschke J, Skutella M. Stable Flows over Time. Algorithms. 2013; 6(3):532-545.
Cseh, Ágnes; Matuschke, Jannik; Skutella, Martin. 2013. "Stable Flows over Time." Algorithms 6, no. 3: 532-545.