2014
DOI: 10.1061/(asce)wr.1943-5452.0000352
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Research Database of Water Distribution System Models

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Cited by 78 publications
(33 citation statements)
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“…A. Case-Study Examples 1) Water Distribution System: We use a real-world waterdistribution network from Kentucky, which we obtained from the Water Distribution System Research Database 2 [9]. The topology of this network, which is called KY3 in the database, is shown by Figure 2.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…A. Case-Study Examples 1) Water Distribution System: We use a real-world waterdistribution network from Kentucky, which we obtained from the Water Distribution System Research Database 2 [9]. The topology of this network, which is called KY3 in the database, is shown by Figure 2.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…On the other hand, the value of the objective function from (20) forṼ is given by 22) =c. (23) From (23), it follows that the optimal value of (20) is at least c. We now finalize the proof by showing that the optimal value of (20) cannot be lower thanc using contradiction.…”
Section: Appendix: Column Generation Proceduresmentioning
confidence: 87%
“…Moreover, since each node can be active for σ time slots, each dominating set can remain active for σ time slots. If only one dominating set is active at any time instant, which is sufficient for the complete coverage, then the lifetime of the network achievable through this approach is given by k = σγ (19) time slots, where γ is the domatic number of a graph. The domatic partition problem is known to be NP-hard [25].…”
Section: A Disjoint Dominating Set Based Approachmentioning
confidence: 99%