用matlab写出下面算法:从表中导入22口油井坐标,加入一个联合站点坐标(未知),使油井连接到联合站路径最短
时间: 2024-05-22 11:12:09 浏览: 17
以下是一个简单的 MATLAB 代码实现,使用 Dijkstra 算法确定最短路径:
% 导入油井坐标数据
wells = [1, 3; 2, 2; 5, 4; 4, 6; 6, 8; 8, 6; 7, 4; 9, 2; 12, 1; 11, 4; 14, 3; 13, 6; 16, 5; 15, 8; 18, 7; 17, 9; 20, 10; 19, 12; 22, 11; 21, 13; 24, 12; 23, 14];
% 初始化联合站点坐标
union_station = [0, 0];
% 创建邻接矩阵
n = size(wells, 1) + 1;
adj_matrix = zeros(n, n);
for i = 1:n-1
for j = i+1:n-1
dist = norm(wells(i,:)-wells(j,:));
adj_matrix(i,j) = dist;
adj_matrix(j,i) = dist;
end
% 将联合站点到油井的距离设为未知
adj_matrix(i,n) = inf;
adj_matrix(n,i) = inf;
end
% Dijkstra算法
dist = inf(1,n);
dist(n) = 0;
visited = false(1,n);
while ~all(visited)
[~, curr] = min(dist.*~visited);
visited(curr) = true;
for i = 1:n
if ~visited(i) && adj_matrix(curr,i) ~= 0
alt = dist(curr) + adj_matrix(curr,i);
if alt < dist(i)
dist(i) = alt;
end
end
end
end
% 输出最短路径长度
shortest_dist = dist(1)
% 更新联合站点坐标
union_station = wells(find(dist == max(dist(1:n-1))), :)
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