The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes. a) Manually apply Dijkstra's algorithm to find the cheapest route between A and G (visited nodes and total distance).
3. The diagram below shows the main land routes for vehicular traffic between points A and G in a city. The figures in the arcs represent the cost of traveling between each pair of nodes.
a) Manually apply Dijkstra's
b) Formulate a linear programming problem in extended form, to determine the shortest route to travel from A to G. Do not use subscripts, name 14 variables, for example XFE would be the variable that indicates that the arc from F to E is used.
c) If there is a fixed cost for visiting each node, modify the formulation of the problem to include said fixed cost in the objective function, and the variables and restrictions that are required.
|
NODE |
A |
B |
C |
D |
E |
F |
G |
|
FIXED COST |
25 |
18 |
32 |
20 |
28 |
18 |
34 |
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