Informed Search part 2
Romanian Roadmap
Oradea
71
Neamt
Zerind
87
151
75
Iasi
Arad
140
Sibiu
92
99
Fagaras
118
Vaslui
80
Rimnicu Vilcea
Timisoara
111
Lugoj
Pitesti
97
142
211
70
98
Mehadia
146
75
Drobeta
85
101
Hirsova
Urziceni
86
138
Bucharest
120
90
Craiova
Giurgiu
Eforie
Bidirectional Search
Start
Goal
Greedy Best-first Search
(a) The initial state
Arad
366
(b) After expanding Arad
Arad
Sibiu
Timisoara
Zerind
253
329
374
Timisoara
Zerind
329
374
(c) After expanding Sibiu
Arad
Sibiu
Arad
Fagaras
Oradea
Rimnicu Vilcea
366
176
380
193
(d) After expanding Fagaras
Arad
Straight-line Distances to Bucharest
Arad
Bucharest
Craiova
Drobeta
Eforie
Fagaras
Giurgiu
Hirsova
Iasi
Lugoj
366
0
160
242
161
176
77
151
226
244
Mehadia
Neamt
Oradea
Pitesti
Rimnicu Vilcea
Sibiu
Timisoara
Urziceni
Vaslui
Zerind
241
234
380
100
193
253
329
80
199
374
Greedy Best-first Search
(a) The initial state
Arad
366
(b) After expanding Arad
Arad
Sibiu
Timisoara
Zerind
253
329
374
Timisoara
Zerind
329
374
(c) After expanding Sibiu
Arad
Sibiu
Arad
Fagaras
Oradea
Rimnicu Vilcea
366
176
380
193
(d) After expanding Fagaras
Arad
Timisoara
Sibiu
Greedy Best-first Search
253
(c) After expanding Sibiu
Arad
Fagaras
Oradea
Rimnicu Vilcea
366
176
380
193
(d) After expanding Fagaras
374
Timisoara
Zerind
329
374
Timisoara
Zerind
329
374
Arad
Sibiu
Fagaras
329
Arad
Sibiu
Arad
Zerind
Oradea
Rimnicu Vilcea
380
193
366
Sibiu
Bucharest
253
0
A* Search
(a) The initial state
Arad
366=0+366
(b) After expanding Arad
Arad
Sibiu
393=140+253
(c) After expanding Sibiu
Fagaras
Oradea
Zerind
447=118+329
449=75+374
Timisoara
Zerind
447=118+329
449=75+374
Arad
Sibiu
Arad
Timisoara
Rimnicu Vilcea
646=280+366 415=239+176 671=291+380 413=220+193
(d) After expanding Rimnicu Vilcea
Arad
Sibiu
393=140+253
447=118+329
449=75+374
Timisoara
Zerind
447=118+329
449=75+374
Timisoara
Zerind
447=118+329
449=75+374
Arad
Sibiu
Fagaras
Zerind
A* Search
(c) After expanding Sibiu
Arad
Timisoara
Oradea
Rimnicu Vilcea
646=280+366 415=239+176 671=291+380 413=220+193
(d) After expanding Rimnicu Vilcea
Arad
Sibiu
Arad
Fagaras
Oradea
Rimnicu Vilcea
646=280+366 415=239+176 671=291+380
Craiova
Pitesti
Sibiu
526=366+160 417=317+100 553=300+253
(e) After expanding Fagaras
Arad
Arad
Fagaras
Oradea
Rimnicu Vilcea
A* Search
646=280+366 415=239+176 671=291+380 413=220+193
(d) After expanding Rimnicu Vilcea
Arad
Sibiu
Arad
Fagaras
Oradea
Timisoara
Zerind
447=118+329
449=75+374
Rimnicu Vilcea
646=280+366 415=239+176 671=291+380
Craiova
Pitesti
Sibiu
526=366+160 417=317+100 553=300+253
(e) After expanding Fagaras
Arad
Sibiu
Arad
Fagaras
646=280+366
Sibiu
Oradea
Timisoara
Zerind
447=118+329
449=75+374
Rimnicu Vilcea
671=291+380
Bucharest
591=338+253 450=450+0
Craiova
Pitesti
Sibiu
526=366+160 417=317+100 553=300+253
Distributed Search Algorithms
• Dist. w Breadth First vs. Depth First Search