void calculate(TSPNodeData node)
{
nodes.Remove(node);
if (node.level == dimension - 1)
{
this.path = node.path;
this.cost = node.cost;
return;
}
for (int k = 0; k < dimension; k++)
{
if (node.visited[k] == false)
{
double[,] newMatrix = MatrixUtil.Clone(node.matrix);
double cij = newMatrix[node.index, k];
newMatrix[k, node.index] = Weight.Infinity;
for (int i = 0; i < dimension; i++)
{
for (int j = 0; j < dimension; j++)
{
if (i == node.index || j == k)
{
newMatrix[i, j] = Weight.Infinity;
}
}
}
double cost;
double[,] reducedNewMatrix = ReduceMatrix(newMatrix, out cost);
cost += cij + node.cost;
bool[] visited = new bool[dimension];
int[] path = new int[dimension + 1];
Array.Copy(node.visited, visited, dimension);
Array.Copy(node.path, path, dimension);
visited[k] = true;
path[node.level + 1] = k;
nodes.Add(new TSPNodeData()
{
matrix = reducedNewMatrix,
cost = cost,
level = node.level + 1,
visited = visited,
index = k,
path = path
});
}
}
nodes.Sort();
calculate(nodes[0]);
}
double[,] ReduceMatrix(double[,] mat, out double cost)
{
cost = 0;
double[,] matrix = MatrixUtil.Clone(mat);
for (int i = 0; i < matrix.GetLength(0); i++)
{
double min = Weight.Infinity;
for (int j = 0; j < matrix.GetLength(1); j++)
{
if (min > matrix[i, j])
{
min = matrix[i, j];
}
}
if (min > 0 && min != Weight.Infinity)
{
for (int j = 0; j < matrix.GetLength(1); j++)
{
matrix[i, j] -= min;
}
cost += min;
}
}
for (int i = 0; i < matrix.GetLength(1); i++)
{
double min = Weight.Infinity;
for (int j = 0; j < matrix.GetLength(0); j++)
{
if (min > matrix[j, i])
{
min = matrix[j, i];
}
}
if (min > 0 && min != Weight.Infinity)
{
for (int j = 0; j < matrix.GetLength(1); j++)
{
matrix[j, i] -= min;
}
cost += min;
}
}
return(matrix);
}
/// <summary>
/// 完全克隆
/// </summary>
/// <returns></returns>
public override IMatrix Clone()
{
return(new DiagonalMatrix(MatrixUtil.Clone(this._vector)));
}
/// <summary>
/// 完全克隆
/// </summary>
/// <returns></returns>
public override IMatrix Clone()
{
return(new SymmetricMatrix(MatrixUtil.Clone(this._vector)));
}