Arad 118 71 Oradea Zerind 151 75 140 Sibiu Fagaras 99 80 Rimnicu Vilcea Timisoara Neamt 口 87 Iasi 92 142 Vaslui 211 111 Pitesti Lugoj 97 70 98 Hirsova Mehadia 146 85 101 Urziceni 86 75 138 Bucharest Drobeta 120 90 Craiova Eforie Giurgiu Figure 3.2 A simplified road map of part of Romania. Arad 366 Mehadia 241 Bucharest 0 Neamt 234 Craiova 160 Oradea 380 Drobeta 242 Pitesti 100 Eforie 161 Rimnicu Vilcea 193 Fagaras 176 Sibiu 253 Giurgiu 77 Timisoara 329 Hirsova 151 Urziceni 80 Iasi 226 Vaslui 199 Lugoj 244 Zerind 374 Figure 3.22 Values of hSLD-straight-line distances to Bucharest. Using an A* search you are trying to find a path from Arad to Bucharest. The algorithm will begin by analyzing the nodes connected to Arad. As shown below, these are Sibiu, Timisoara, and Zerind. The straight-line distance from every city (node) to Bucharest is listed in the table below. Using this measurement as the heuristic calculate the total path cost to each of these cities and list them below. Use the evaluation function: where f(n) = g(n) + h(n) g(n) cost so far to reach node h(n) the straight line distance to Bucharest = Supply your answer in the following format: Sibiu: # Timisoara: # Zerind: # Finally, explain which node will be expanded next.
Arad 118 71 Oradea Zerind 151 75 140 Sibiu Fagaras 99 80 Rimnicu Vilcea Timisoara Neamt 口 87 Iasi 92 142 Vaslui 211 111 Pitesti Lugoj 97 70 98 Hirsova Mehadia 146 85 101 Urziceni 86 75 138 Bucharest Drobeta 120 90 Craiova Eforie Giurgiu Figure 3.2 A simplified road map of part of Romania. Arad 366 Mehadia 241 Bucharest 0 Neamt 234 Craiova 160 Oradea 380 Drobeta 242 Pitesti 100 Eforie 161 Rimnicu Vilcea 193 Fagaras 176 Sibiu 253 Giurgiu 77 Timisoara 329 Hirsova 151 Urziceni 80 Iasi 226 Vaslui 199 Lugoj 244 Zerind 374 Figure 3.22 Values of hSLD-straight-line distances to Bucharest. Using an A* search you are trying to find a path from Arad to Bucharest. The algorithm will begin by analyzing the nodes connected to Arad. As shown below, these are Sibiu, Timisoara, and Zerind. The straight-line distance from every city (node) to Bucharest is listed in the table below. Using this measurement as the heuristic calculate the total path cost to each of these cities and list them below. Use the evaluation function: where f(n) = g(n) + h(n) g(n) cost so far to reach node h(n) the straight line distance to Bucharest = Supply your answer in the following format: Sibiu: # Timisoara: # Zerind: # Finally, explain which node will be expanded next.
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.2: Modeling Arrival And Service Processes
Problem 3P
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