Flows over Time with Load-Dependent Transit Times
نویسندگان
چکیده
منابع مشابه
Approximating Earliest Arrival Flows with Flow-Dependent Transit Times
For the earliest arrival flow problem one is given a network G = (V,A) with capacities u(a) and transit times τ(a) on its arcs a ∈ A, together with a source and a sink vertex s, t ∈ V . The objective is to send flow from s to t that moves through the network over time, such that for each point in time θ ∈ [0, T ) the maximum possible amount of flow reaches t. If, for each θ ∈ [0, T ) this flow ...
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We present an algorithm to solve a deterministic form of a routing problem in delay tolerant networking, in which contact possibilities are known in advance. The algorithm starts with a finite set of contacts with time-varying capacities and transit delays. The output is an optimal schedule assigning messages to edges and times, that respects message priority and minimizes the overall delivery ...
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Motivated by applications in road traffic control, we study flows in networks featuring special characteristics. Firstly, there are transit times on the arcs of the network which specify the amount of time it takes for flow to travel through an arc; in particular, flow values on arcs may change over time. Secondly, the transit time of an arc varies with the current amount of flow using this arc...
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We consider the dynamic shortest path problem in the continuous-time model because of its importance. This problem has been extensively studied in the literature. But so far, all contributions to this problem are based on the assumption that all transit times are strictly positive. However, in order to study dynamic network flows it is essential to support negative transit times since they occu...
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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 ne...
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ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2005
ISSN: 1052-6234,1095-7189
DOI: 10.1137/s1052623403432645