Consider the minimum cost flow problem shown below, where the bi values are given by the nodes, the Cij values are given by the arcs, and the finite lij values are given in parentheses by the arcs. [125] A 2 B [200] 9 6 3 8 (UAD = 100) [0] (UBE = 100) 5 8 [-175] D E [-150] (a) Obtain an initial BF solution by solving the feasible spanning tree with basic arcs A → C, B → A, C → › D, and C → E. All nonbasic arc has xij = 0 except XAD = 100. (b) Use the network simplex method to solve this problem. What is the total cost of the optimal solution?
Consider the minimum cost flow problem shown below, where the bi values are given by the nodes, the Cij values are given by the arcs, and the finite lij values are given in parentheses by the arcs. [125] A 2 B [200] 9 6 3 8 (UAD = 100) [0] (UBE = 100) 5 8 [-175] D E [-150] (a) Obtain an initial BF solution by solving the feasible spanning tree with basic arcs A → C, B → A, C → › D, and C → E. All nonbasic arc has xij = 0 except XAD = 100. (b) Use the network simplex method to solve this problem. What is the total cost of the optimal solution?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the minimum cost flow problem shown below, where the bį values are given by the nodes,
the
Cij values are given by the arcs, and the finite u¡j values are given in parentheses by the arcs.
[125]
A
2
B
[200]
9
6
3
8
(UAD = 100)
[0]
(UBE = 100)
5
8
[-175]
D
E
[-150]
(a) Obtain an initial BF solution by solving the
feasible spanning tree with basic arcs A C,
B - → A, C → D, and C → E. All nonbasic arc
has Xij
= 0 except XAD = 100.
(b) Use the network simplex method to solve this
problem. What is the total cost of the optimal
solution?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2f2c4bd-bf4c-4a3b-a0a2-6333c3306a45%2F3a7423e4-c2e9-40e1-b2f3-e9c49c2ed3e6%2F1j8jubt_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the minimum cost flow problem shown below, where the bį values are given by the nodes,
the
Cij values are given by the arcs, and the finite u¡j values are given in parentheses by the arcs.
[125]
A
2
B
[200]
9
6
3
8
(UAD = 100)
[0]
(UBE = 100)
5
8
[-175]
D
E
[-150]
(a) Obtain an initial BF solution by solving the
feasible spanning tree with basic arcs A C,
B - → A, C → D, and C → E. All nonbasic arc
has Xij
= 0 except XAD = 100.
(b) Use the network simplex method to solve this
problem. What is the total cost of the optimal
solution?
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