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yang1102
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""" | ||
Name: Shuoyi Yang | ||
UTEID: sy6955 | ||
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CS 345 | ||
Greed algorithm for TSP. | ||
""" | ||
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#reading from the input path | ||
filepath = "a280.tsp" | ||
data = read.table(filepath,skip =6, header=FALSE,nrow=length(readLines(filepath))-7) | ||
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#calculate the euclidean distance between two node | ||
distance <- function(x1,x2){ | ||
return (sqrt(sum((x1-x2)^2))) | ||
} | ||
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#find the nearest node from the remaining list | ||
get.nearest<- function(remain.nodes,current){ | ||
i = 0 | ||
shortest.dist = 0 | ||
min = c() | ||
current=current[2:3] | ||
rec = numeric(nrow(remain.nodes)) | ||
id = remain.nodes[,1] | ||
cor = remain.nodes[,2:3] | ||
for(i in 1:nrow(remain.nodes)){ | ||
#store the distance of nodes into a vector | ||
cur.dist = distance(current,cor[i,]) | ||
min = rbind(min,c(i,id[i],cur.dist)) | ||
#Name: Shuoyi Yang | ||
#UTEID: sy6955 | ||
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#CS 345 | ||
#Greed algorithm for TSP. | ||
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#reading data from the input path | ||
read.data<-function(){ | ||
filepath = readline("Enter data file:") | ||
data = read.table(filepath,skip =6, header=FALSE,nrow=length(readLines(filepath))-7) | ||
return(data) | ||
} | ||
min.node = min[which.min(min[,3]),] | ||
return (min.node) | ||
} | ||
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#get the list of nodeId and minimum distance by greedy algorithm | ||
min.total.dist = 0 | ||
best.result = c() | ||
for (i in 1:nrow(data)){ | ||
total.dist = 0 | ||
visit.nodes = c() | ||
current = data[i,] | ||
visit.nodes = current | ||
#remain.nodes = subset(data,V1!=i) | ||
remain.nodes = data[-i,] | ||
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while(nrow(remain.nodes)>0) { | ||
current = tail(visit.nodes,n=1) | ||
next.node = get.nearest(remain.nodes,current) | ||
visit.nodes = rbind(visit.nodes,data[next.node[2],]) | ||
#remain.nodes = subset(remain.nodes,V1!=next.node[1]) | ||
remain.nodes = remain.nodes[-next.node[1],] | ||
total.dist = total.dist + next.node[3] | ||
#calculate the euclidean distance between two node | ||
distance <- function(x1,x2){ | ||
return (sqrt(sum((x1-x2)^2))) | ||
} | ||
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if(total.dist < min.total.dist){ | ||
min.total.dist = total.dist | ||
best.result = remain.nodes[,1] | ||
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#find the nearest node from the remaining list | ||
get.nearest<- function(remain.nodes,current){ | ||
i = 0 | ||
shortest.dist = 0 | ||
min = c() | ||
current=current[2:3] | ||
rec = numeric(nrow(remain.nodes)) | ||
id = remain.nodes[,1] | ||
cor = remain.nodes[,2:3] | ||
for(i in 1:nrow(remain.nodes)){ | ||
#store the distance of nodes into a vector | ||
cur.dist = distance(current,cor[i,]) | ||
min = rbind(min,c(i,id[i],cur.dist)) | ||
} | ||
min.node = min[which.min(min[,3]),] | ||
return (min.node) | ||
} | ||
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} | ||
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print(min.total.dist) | ||
print(best.result) | ||
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#get the list of nodeId and minimum distance by greedy algorithm | ||
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#find the shortest path for any start point | ||
any.start.shortest.path<-function(data){ | ||
min.total.dist = 0 | ||
best.result = c() | ||
for (i in 1:nrow(data)){ | ||
total.dist = 0 | ||
visit.nodes = c() | ||
current = data[i,] | ||
visit.nodes = current | ||
#remain.nodes = subset(data,V1!=i) | ||
remain.nodes = data[-i,] | ||
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while(nrow(remain.nodes)>0) { | ||
current = tail(visit.nodes,n=1) | ||
next.node = get.nearest(remain.nodes,current) | ||
visit.nodes = rbind(visit.nodes,data[next.node[2],]) | ||
remain.nodes = remain.nodes[-next.node[1],] | ||
total.dist = total.dist + next.node[3] | ||
} | ||
if(total.dist < min.total.dist){ | ||
min.total.dist = total.dist | ||
best.result = visit.nodes[,1] | ||
} | ||
} | ||
print(paste("minimum distance:",min.total.dist)) | ||
print(best.result) | ||
} | ||
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#find the shortest path from node 1 | ||
shortest.path<-function(data){ | ||
first.node = data[1,] | ||
remain.nodes = data[-1,] | ||
total.dist = 0 | ||
visit.nodes=first.node | ||
while(nrow(remain.nodes)>0) { | ||
current = tail(visit.nodes,n=1) | ||
next.node = get.nearest(remain.nodes,current) | ||
visit.nodes = rbind(visit.nodes,data[next.node[2],]) | ||
remain.nodes = remain.nodes[-next.node[1],] | ||
total.dist = total.dist + next.node[3] | ||
} | ||
print(paste("minimum distance :",total.dist)) | ||
print(visit.nodes[,1]) | ||
} | ||
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#main function | ||
main<-function(){ | ||
shortest.path(read.data()) | ||
#any.start.shortest.path(read.data()) | ||
} | ||
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if(interactive()) main() |