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# The Shortest Route Problem

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### The Shortest Route Problem

1. 1. The Shortest-Route Problem<br />+ Trying to find the shortest route from a source or a destination through a connecting network<br />+ The destination may be in any other node in the network.<br />+ This the problem faced by any organization that delivers or picks up material from a number of points. <br />
2. 2. Shortest-Route Algorithm<br />Construct a list for each node in the network of the branches leading out of that node.<br />Each branch is identified by a two-letter symbol;<br />1st letter is the node a branch leaves from and<br />The 2nd letter is the node it goes to.<br />Directly beside the symbol indicate the length of that branch.<br />Arrange the branches in ascending order of the branch lengths. <br />Table 16-10 BRANCHES LEADING OUT OF EACH NODE IN SHORTEST-ROUTE NETWORK<br />
3. 3. Step 1. <br />Identify branches that lead away from the origin. <br />Select which of the branches is the shortest.<br />
4. 4. Step 2. Choose the 2nd nearest nodes to the Origin , those nearest A and B.<br />
5. 5. Step 3. Choose the 3rd nearest nodes to the Origin, those nearest B and C<br />
6. 6. Step 4. Choose the 4th nearest route from the Origin, those Nearest C and D<br />
7. 7. Step 5. Choose the 5th Nearest node from Origin, those nearest D and E. <br />200<br />150<br />