Calculate the system reliability of the water distribution network of Figure 11. 19 using the state enumeration method. Node 1 is the source node and other nodes are demand nodes.

All of the pipes have the same failure probability equal to 5%. System reliability is defined as the ability of the system for supplying water to all of the demand nodes. The pipes’ performances are independent of each other.

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00 8 10 3 2 2 7 5 4 FIGURE 11.19 Layout of water distribution network of Problem 2.