If the state of the visited, tentativeDistance, and predecessor arrays used in Dijkstra's algorithm are as shown below, what vertex was used as the start node? (Your answer should be an integer node index) Note: the string "inf" represents the value "positive infinity". 简答题
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Question textApply Dijkstra's algorithm to find the shortest path from node 1 to all other nodes in the following directed graph. The numbers on the arcs represent costs , with data provided again below for completeness. Node 1: Node 2: Node 3: Node 4: Node 5: Node 6: Node 7: Node 8: Enter the shortest distance from node 1 to each node: Node 3: Answer 1 Question 3[input] predecessor = Answer 2 Question 3[input] Node 4: Answer 3 Question 3[input] Node 5: Answer 4 Question 3[input] If the problem of finding a shortest path from node 1 to node 3 was solved as a linear program with arc flow variables , then:The reduced cost of would be Answer 5 Question 3[input] If is the optimal value of the dual variables for the flow conservation constraints, then Answer 6 Question 3[input]
Dijkstra's Link State Algorithm Consider the incomplete 6-node network shown below, with given link costs; where links x and y are unknown Consider the completed table below, which calculates the shortest distance to all nodes from U: Nodes d, (p) d, (p) d, (p) d, (p) d, (p) U V W X Y Z shortest distance from node U 0 4, X 3, U 1, U 5, X 6, W For link x (link from node X, to node Y) , what is the cost associated with this link? [Fill in the blank] For link y (link from node U to node W) , what is the cost associated with this link?[Fill in the blank]
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