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At any link e j ∈E, the maximum flow demand of all flows using that link is bound by the link capacity.
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Modeling traffic flow fluctuations over time reflects two basic zones: the increasing demand zone that terminates approximately when the maximum flow is attained, and the oscillations zone that reflects the fluctuations of flow until its stabilization.
We formulate this stage as the following linear program: The multiplier on the unit flow demand of the individual commodities is maximized to achieve the maximum total flow in the network, using the shortest paths determined in the first stage: max y (15).
We develop a minimum cost flow algorithm for the case in which demands may be split across multiple rings, and provide a transformation to a maximum flow problem for specially structured data.
(E) Maximum flow velocity.
(E) Maximum flow depth.
(C) Maximum flow depth.
(D) Maximum flow depth.
(F) Maximum flow velocity.
Given the connectivity graph and unit flow demand between the source-sink pairs, the objective is to maximize y, which is the multiplier on the unit flow demand of the commodities, so as to achieve the maximum total flow in the network using multiple paths between a source-sink pair: max y − ∑ l ij z ij × cost 1 ij (1).
The maximum flow rate was 1 l/s.
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