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Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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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
2
-6
3
(5
-2
3
3
3
(a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution xij
(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.
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 2 -6 3 (5 -2 3 3 3 (a) Using the arcs (1,2), (2,3), (4,2), (3,6) and (5,6) find a feasible tree solution xij (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.
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