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Maximum Throughput Problem in Dissipative Flow Networks with Application to Natural Gas Systems
[article]

2015
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arXiv
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pre-print

We consider a dissipative flow network that obeys the standard linear nodal flow conservation, and where flows on edges are driven by potential difference between adjacent nodes. We show that in the case when the flow is a monotonically increasing function of the potential difference, solution of the network flow equations is unique and can be equivalently recast as the solution of a strictly convex optimization problem. We also analyze the maximum throughput problem on such networks seeking to

arXiv:1504.02370v1
fatcat:4tm4jtgdnna6dnz4zh5ab5hwii