ｹﾂｶ制

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SMA* MA*
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Greedy best-first search; using hSLD
10
:
Greedy best-first search solution
GBFS: 140 + 99 + 211 = 450
Optimal: 140+80+97+101 = 418
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Greedy best-first search
150
Iasi to Fargaras
170
250
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m
O(b^m)
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:
h = h*
h = h*
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O(b m )
O(bd )
h = h*
O(b m ) :
O(bd )
h = h*
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h(n)
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f(n) = g(n) + h(n)
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f(n) = n
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: g(n)
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: h*(n)
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: f(n)
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f(n): g(n) + h(n)
f*(n): g(n) + h*(n)
n
: f*(n)
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A*
Arad
Bucharest
f(Arad) = g(Arad)+h(Arad)=0+366=366
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A*
:
f(n)
Arad
f(Sibiu)=c(Arad,Sibiu)+h(Sibiu)=140+253=393
f(Timisoara)=c(Arad,Timisoara)+h(Timisoara)=118+329=447
f(Zerind)=c(Arad,Zerind)+h(Zerind)=75+374=449
Sibiu
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A*
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f(n)
Sibiu
f(Arad)=c(Sibiu,Arad)+h(Arad)=280+366=646
f(Fagaras)=c(Sibiu,Fagaras)+h(Fagaras)=239+179=415
f(Oradea)=c(Sibiu,Oradea)+h(Oradea)=291+380=671
f(Rimnicu Vilcea)=c(Sibiu,Rimnicu Vilcea)+ h(Rimnicu Vilcea)=220+192=413
Rimnicu Vilcea
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A*
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f(n)
Rimnicu Vilcea
f(Craiova)=c(Rimnicu Vilcea, Craiova)+h(Craiova)=360+160=526
f(Pitesti)=c(Rimnicu Vilcea, Pitesti)+h(Pitesti)=317+100=417
f(Sibiu)=c(Rimnicu Vilcea,Sibiu)+h(Sibiu)=300+253=553
Fagaras
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A*
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f(n)
Fagaras
f(Sibiu)=c(Fagaras, Sibiu)+h(Sibiu)=338+253=591
f(Bucharest)=c(Fagaras,Bucharest)+h(Bucharest)=450+0=450
Pitesti !!!
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A*
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f(n)
Pitesti
f(Bucharest)=c(Pitesti,Bucharest)+h(Bucharest)=418+0=418
Bucharest !!!
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IDA*
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IDA*
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f(g+h)
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IDA*
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f-cost
f-cost
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IDA*
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Bound := f(StartNode);
SolutionFound := false;
Repeat
perform depth-first search from StartNode, so that
a node N is expanded only if f(N)
Bound;
if this depth-first search encounters a goal node with f
Bound
then SolutionFound = true
else
compute new bound as:
Bound = min { f(N) | N generated by this search, f(N) > Bound
}
until solution found.
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IDA*
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IDA*
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IDA*
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RBFS
Recursive best first search
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RBFS
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RBFS
RBFS IDA*
RBFS IDA*
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RBFS IDA*
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SMA*
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SMA*
RBFS 51
SMA*
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SMA*
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SMA*
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h2(n) >= h1(n) :
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h1
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f(n)<f*
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h1..hm
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