Analyze the complexity of dijkstra''s algorithm, Basic Computer Science

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QUESTION

(a) Given the graph as shown in figure, apply Lagrangian technique to complete the table assuming μ=1 and T=14

                       2085_Lagrangian technique.png

Path P

Path Cost

P time

Modified Cost

Composite cost

P

Cn

Tp

cp+m*tp

cp+m(tp -T)

1-2-4-6

 

18

 

3+4 m

1-2-5-6

 

 

 

 

1-2-4-5-6

 

 

 

 

1-3-2-4-6

 

 

 

 

1-3-2-5-6

 

 

 

 

1-3-2-4-5-6

 

 

 

 

(b) What are the steps involved developing an LP Model.

(c) Analyze the complexity of Dijkstra's Algorithm.


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