1- Consider the network shown below. Using Dijkstra´s algorithm, and showing your work using a table similar to below table 5.1, do the following: a. Compute the shortest path from t to all network nodes. b. Compute the shortest path from u to all network nodes. c. Compute the shortest path from v to all network nodes. d. Compute the shortest path from w to all network nodes. e. Compute the shortest path from y to all network nodes. f. Compute the shortest path from z to all network nodes. 8 step 0 1 2 3 4 5 12 3 N' u ux uxy uxyv 4 W uxyvw uxyvwz D (v), p (v) 2, u 2, u 2, u D (w), p (w) 5, u 4, X 3, y 3, y D (x), p (x) 1,u D (y), p (y) ∞ 2, X D (Z), p (z) ∞ 8 4, y 4, y 4, y

1- Consider the network shown below. Using Dijkstra´s algorithm, and showing your work using a table similar to below table 5.1, do the following: a. Compute the shortest path from t to all network nodes. b. Compute the shortest path from u to all network nodes. c. Compute the shortest path from v to all network nodes. d. Compute the shortest path from w to all network nodes. e. Compute the shortest path from y to all network nodes. f. Compute the shortest path from z to all network nodes. 8 step 0 1 2 3 4 5 12 3 N' u ux uxy uxyv 4 W uxyvw uxyvwz D (v), p (v) 2, u 2, u 2, u D (w), p (w) 5, u 4, X 3, y 3, y D (x), p (x) 1,u D (y), p (y) ∞ 2, X D (Z), p (z) ∞ 8 4, y 4, y 4, y

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter18: Deterministic Dynamic Programming

Section18.2: A Network Problem

Problem 1P

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