请针对有向加权网络，用matlab写一段负载为边权的负载容量模型

好的，以下是一个简单的负载容量模型的 matlab 代码，基于有向加权网络：

% 定义有向加权网络的邻接矩阵，例如：
%  0 -> 1 (4)
%  0 -> 2 (3)
%  1 -> 2 (2)
%  1 -> 3 (5)
%  2 -> 3 (7)
% 表示为：
%     0    1    2    3
% 0   0    4    3    0
% 1   0    0    2    5
% 2   0    0    0    7
% 3   0    0    0    0
adj_matrix = [0, 4, 3, 0; 0, 0, 2, 5; 0, 0, 0, 7; 0, 0, 0, 0];

% 定义每条边的负载
% 例如，第一条边从节点 0 到节点 1，权重为 4，负载为 2
% 表示为：
% edges_load = [0, 1, 4, 2; 0, 2, 3, 1; 1, 2, 2, 3; 1, 3, 5, 2; 2, 3, 7, 4];
edges_load = [0, 1, 4, 2; 0, 2, 3, 1; 1, 2, 2, 3; 1, 3, 5, 2; 2, 3, 7, 4];

% 定义源节点和汇节点
source = 0;
sink = 3;

% 使用最大流算法计算负载容量
max_flow = maxFlowWithLoad(adj_matrix, source, sink, edges_load);

function [max_flow] = maxFlowWithLoad(adj_matrix, source, sink, edges_load)
    % 初始化网络流及负载流
    n = size(adj_matrix, 1);
    flow = zeros(n, n);
    load_flow = zeros(n, n);

    % 计算残量网络
    residual_network = adj_matrix;

    % 循环计算增广路径并更新网络流和负载流
    while true
        % 使用 BFS 寻找增广路径
        [path, path_flow, path_load_flow] = bfsWithLoad(residual_network, source, sink, flow, edges_load);

        % 如果找不到增广路径，退出循环
        if isempty(path)
            break
        end

        % 更新网络流和负载流
        for i = 1:length(path)-1
            u = path(i);
            v = path(i+1);
            flow(u, v) = flow(u, v) + path_flow;
            load_flow(u, v) = load_flow(u, v) + path_load_flow;
            residual_network(u, v) = residual_network(u, v) - path_flow;
            residual_network(v, u) = residual_network(v, u) + path_flow;
        end
    end

    % 计算负载容量
    max_flow = sum(load_flow(source, :));
end

function [path, path_flow, path_load_flow] = bfsWithLoad(adj_matrix, source, sink, flow, edges_load)
    % 使用 BFS 寻找从源节点到汇节点的增广路径
    n = size(adj_matrix, 1);
    visited = false(1, n);
    parent = zeros(1, n);
    path_flow = inf;
    path_load_flow = inf;
    queue = [];
    queue = [queue, source];
    visited(source) = true;

    % BFS
    while ~isempty(queue)
        u = queue(1);
        queue(1) = [];

        for v = 1:n
            if ~visited(v) && adj_matrix(u, v) > 0
                if adj_matrix(u, v) - flow(u, v) > 0 || flow(v, u) > 0
                    % 计算剩余容量和负载容量
                    residual_capacity = adj_matrix(u, v) - flow(u, v);
                    if residual_capacity < path_flow
                        path_flow = residual_capacity;
                    end
                    residual_load_capacity = edges_load(u, v) - flow(u, v);
                    if residual_load_capacity < path_load_flow
                        path_load_flow = residual_load_capacity;
                    end

                    % 更新 parent 和 visited 数组
                    parent(v) = u;
                    visited(v) = true;
                    queue = [queue, v];

                    % 如果到达汇节点，退出循环
                    if v == sink
                        break
                    end
                end
            end
        end
    end

    % 根据 parent 数组构造增广路径
    path = [];
    if visited(sink)
        v = sink;
        while v ~= source
            u = parent(v);
            path = [u, path];
            v = u;
        end
        path = [source, path, sink];
    end
end

这段代码实现了一个基于负载容量的最大流算法，其中边的负载存储在 `edges_load` 数组中，计算负载容量的代码在 `maxFlowWithLoad` 函数中。