Stable Flows over Time

Algorithms

Ágnes Cseh¹  Jannik Matuschke² 

[1] TU Berlin, Institut für Mathematik, Straße des 17. Juni 136, Berlin 10623, Germany;

关键词: stable matchings;    stable flows;    flows over time;   

DOI  :  10.3390/a6030532

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.