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Given the network representation below, you are trying to find the shortest distance between your home (node h) to destination (node d). The minimum spanning tree for the network is given as arcs (h, 1), (h,3), (2,5), (3,5), (5,4), (4,d), (6, d) and only created by basic variables. There are not any NBV at Upper Bound in the MST. Distances for the arcs are given in the table. Hint: All variables (X_ij's) e (0,1} where i e (h,1,2,3,4,5,6}, j e {1,2,3,4,5,6,d} a) Draw the minimum spanning tree (MST). b) Use network simplex algorithm to determine whether the solution that you obtained in MST is optimal? If not, what are the entering and leaving variables and the value of 0(theta) ? - Don't solve for optimal! (h,1) (h,2) (h,3) (1,4) (1,5) (2,4) (2,5) (3,5) (3,6) (4,d) (5,4) (5,6) (5,d) (6,d) Distance 1646 1576 1449 1547 1469 770 1183 770 936 1048 569 582 1730 1042

Given the network representation below, you are trying to find the shortest distance between your home (node h) to destination (node d). The minimum spanning tree for the network is given as arcs (h, 1), (h,3), (2,5), (3,5), (5,4), (4,d), (6, d) and only created by basic variables. There are not any NBV at Upper Bound in the MST. Distances for the arcs are given in the table. Hint: All variables (X_ij's) e (0,1} where i e (h,1,2,3,4,5,6}, j e {1,2,3,4,5,6,d} a) Draw the minimum spanning tree (MST). b) Use network simplex algorithm to determine whether the solution that you obtained in MST is optimal? If not, what are the entering and leaving variables and the value of 0(theta) ? - Don't solve for optimal! (h,1) (h,2) (h,3) (1,4) (1,5) (2,4) (2,5) (3,5) (3,6) (4,d) (5,4) (5,6) (5,d) (6,d) Distance 1646 1576 1449 1547 1469 770 1183 770 936 1048 569 582 1730 1042

Computer Networking: A Top-Down Approach (7th Edition)
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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Given the network representation below, you are trying to find the shortest distance between your home (node h) to destination (node d). The minimum spanning tree for the network is given as arcs (h, 1), (h,3), (2, 5), (3,5), (5,4), (4, d), (6, d) and only created by basic variables. There are not any NBV at Upper Bound in the MST. Distances for the arcs are given in the table. Hint: All variables (X_ij's) e (0,1) where i e {h,1,2,3,4,5,6), je (1,2,3,4,5,6,d} a) Draw the minimum spanning tree (MST). b) Use network simplex algorithm to determine whether the solution that you obtained in MST is optimal? If not, what are the entering and leaving variables and the value of 0 (theta) ? - Don't solve for optimal! (h,1) (h,2) (h,3) (1,4) (1,5) (2,4) (2,5) (3,5) (3,6) (4,d) (5,4) (5,6) (5,d) (6,d) Distance 1646 1576 1449 1547 1469 770 1183 770 936 1048 569 582 1730 1042
Transcribed Image Text:Given the network representation below, you are trying to find the shortest distance between your home (node h) to destination (node d). The minimum spanning tree for the network is given as arcs (h, 1), (h,3), (2, 5), (3,5), (5,4), (4, d), (6, d) and only created by basic variables. There are not any NBV at Upper Bound in the MST. Distances for the arcs are given in the table. Hint: All variables (X_ij's) e (0,1) where i e {h,1,2,3,4,5,6), je (1,2,3,4,5,6,d} a) Draw the minimum spanning tree (MST). b) Use network simplex algorithm to determine whether the solution that you obtained in MST is optimal? If not, what are the entering and leaving variables and the value of 0 (theta) ? - Don't solve for optimal! (h,1) (h,2) (h,3) (1,4) (1,5) (2,4) (2,5) (3,5) (3,6) (4,d) (5,4) (5,6) (5,d) (6,d) Distance 1646 1576 1449 1547 1469 770 1183 770 936 1048 569 582 1730 1042
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