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).

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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 algorithm to find the cheapest route between A and G (visited nodes and total distance).

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

B
5
E
1
3
3
F
3
Transcribed Image Text:B 5 E 1 3 3 F 3
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