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Ben-Gurion University of the Negev Jacob Blaustein Institutes for ...

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32<br />

So that, <strong>for</strong> a network composed by 4 sources and 5 destinations <strong>the</strong>re are 20 possible<br />

arcs <strong>of</strong> transportation (see figure 12). ArcGis was used to measure <strong>the</strong> relevant<br />

characteristic <strong>of</strong> <strong>the</strong> network: a) location <strong>of</strong> <strong>the</strong> nodes; b) length <strong>of</strong> <strong>the</strong> arcs; c) elevation<br />

<strong>of</strong> every supply and demand node.<br />

Figure 10 – Network representation and arc length<br />

3.9 From <strong>the</strong> Transportation Model to <strong>the</strong> Transshipment<br />

Network<br />

The transshipments network was built on <strong>the</strong> basis <strong>of</strong> <strong>the</strong> solution obtained from <strong>the</strong><br />

transportation model. Figure 11 shows <strong>the</strong> transshipment network overlapped on <strong>the</strong><br />

solution <strong>of</strong> <strong>the</strong> transportation problem. Light blue arrows show <strong>the</strong> directions and <strong>the</strong><br />

amounts <strong>of</strong> water transported from sources to destinations.<br />

The layout <strong>of</strong> <strong>the</strong> transshipment network was made on <strong>the</strong> basis <strong>of</strong> <strong>the</strong> following<br />

considerations:<br />

a) The number <strong>of</strong> supply nodes were reduced from 4 to 2. Supply n.91 and n.86<br />

were grouped in a single node and nodes n.86 and n.78 were excluded because<br />

<strong>the</strong>y provide a negligible supply;<br />

b) The number <strong>of</strong> demand nodes was reduced from 5 to 4. Demand nodes n.84 and<br />

n.85 were grouped in a single node;

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