-3 4 3 (5) -2 3 3 (a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution (b) Compute the fair prices (dual solution) w; for the FTS of part (a), and she 2.
-3 4 3 (5) -2 3 3 (a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution (b) Compute the fair prices (dual solution) w; for the FTS of part (a), and she 2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
1
![1. Consider the following minimum cost network flow problem (here I am following the Chvatal
notation from class, b; < 0 is a supply etc. The numbers next to each arc are the costs for
that arc. Numbers next to each node are supply/demand at that node.)
8
-3
5
4
-6
1/3
3
7
3
3.
6.
3
(a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution x;ij .
(b) Compute the fair prices (dual solution) w; for the FTS of part (a), and show that the
FTS found there is optimal.
(c) Is the FTS of parts (a,b) unique? Explain why or give a counterexample.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7094e18b-ebba-4a8e-af7d-a7df964bafa5%2F1c3aefa2-de64-4423-8198-70452d11dd07%2Fb3q607_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the following minimum cost network flow problem (here I am following the Chvatal
notation from class, b; < 0 is a supply etc. The numbers next to each arc are the costs for
that arc. Numbers next to each node are supply/demand at that node.)
8
-3
5
4
-6
1/3
3
7
3
3.
6.
3
(a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution x;ij .
(b) Compute the fair prices (dual solution) w; for the FTS of part (a), and show that the
FTS found there is optimal.
(c) Is the FTS of parts (a,b) unique? Explain why or give a counterexample.
2.
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