public class WaterDistributionCalculator
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{
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// 节点配置类（参考设计秒流量计算规范[1](@ref)）
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public class NodeConfig
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{
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public int NodeIndex { get; set; }
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public double Elevation { get; set; }
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public double MinFlow { get; set; } // 最小需水量(m³/h)
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public double MaxFlow { get; set; } // 最大需水量(m³/h)
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}
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// 计算结果结构体（包含遗传算法优化思想[3](@ref)）
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public struct DistributionResult
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{
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public double TotalDemand;
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public Dictionary<int, double> NodeFlows;
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}
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private readonly List<NodeConfig> _nodes;
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private readonly int _totalSteps;
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private readonly double _totalMin;
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private readonly double _totalMax;
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public WaterDistributionCalculator(
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List<NodeConfig> nodes,
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int totalSteps,
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double totalMin,
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double totalMax)
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{
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ValidateConstraints(nodes, totalMin, totalMax);
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_nodes = nodes;
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_totalSteps = totalSteps;
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_totalMin = totalMin;
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_totalMax = totalMax;
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}
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// 主计算方法（采用分段等比数列生成需求序列[1,5](@ref)）
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public List<DistributionResult> CalculateDistributions()
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{
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var results = new List<DistributionResult>();
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var demandSequence = GenerateDemandSequence();
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foreach (var demand in demandSequence)
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{
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if (!IsDemandFeasible(demand)) continue;
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var allocations = GenerateAllocations(demand);
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results.AddRange(allocations);
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}
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return results;
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}
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// 生成需求序列（基于阶梯式能耗优化思想[5](@ref)）
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private List<double> GenerateDemandSequence()
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{
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double step = (_totalMax - _totalMin) / _totalSteps;
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return Enumerable.Range(0, _totalSteps + 1)
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.Select(i => _totalMin + i * step)
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.ToList();
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}
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// 水量分配核心算法（结合蒙特卡洛随机采样[6](@ref)）
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private IEnumerable<DistributionResult> GenerateAllocations(double targetDemand)
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{
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var rand = new Random();
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int maxAttempts = 1; //最大尝试次数
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// 基于节点优先级生成候选集（参考BP神经网络特征选择[3](@ref)）
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var candidateNodes = _nodes
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.Where(n => n.MaxFlow > 0)
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.OrderByDescending(n => n.MaxFlow - n.MinFlow)
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.ToList();
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for (int i = 0; i < maxAttempts; i++)
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{
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var allocation = new Dictionary<int, double>();
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double remaining = targetDemand;
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// 初始化最低保障水量（符合设计规范要求[1](@ref)）
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foreach (var node in candidateNodes)
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{
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allocation[node.NodeIndex] = node.MinFlow;
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remaining -= node.MinFlow;
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}
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if (remaining < 0) continue;
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// 随机分配剩余水量（采用自适应权重调整[6](@ref)）
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// while (remaining > 0.001) // 允许1L误差
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while (remaining > 0.5)
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{
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var availableNodes = candidateNodes
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.Where(n => allocation[n.NodeIndex] < n.MaxFlow)
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.ToList();
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if (availableNodes.Count == 0) break;
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var node = availableNodes[rand.Next(availableNodes.Count)];
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double maxPossible = Math.Min(
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node.MaxFlow - allocation[node.NodeIndex],
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remaining);
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double allocated = rand.NextDouble() * maxPossible;
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allocation[node.NodeIndex] += allocated;
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remaining -= allocated;
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}
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//if (Math.Abs(remaining) < 0.01) // 允许1%误差
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if (Math.Abs(remaining) < 0.5)
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{
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yield return new DistributionResult
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{
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TotalDemand = targetDemand,
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NodeFlows = allocation
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};
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}
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}
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}
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// 约束验证（参考二次供水设计规范[1,5](@ref)）
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private void ValidateConstraints(List<NodeConfig> nodes, double totalMin, double totalMax)
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{
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double minSum = nodes.Sum(n => n.MinFlow);
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double maxSum = nodes.Sum(n => n.MaxFlow);
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if (totalMin < minSum || totalMax > maxSum)
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throw new ArgumentException("总需求范围超出节点能力限制");
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}
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private bool IsDemandFeasible(double demand)
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{
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double minSum = _nodes.Sum(n => n.MinFlow);
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double maxSum = _nodes.Sum(n => n.MaxFlow);
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return demand >= minSum && demand <= maxSum;
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}
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}
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// 使用示例（基于常州通用水司案例[3](@ref)）
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class Program
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{
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static void Main()
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{
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var nodes = new List<WaterDistributionCalculator.NodeConfig>
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{
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new() { NodeIndex = 1, MinFlow = 0, MaxFlow = 5 },
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new() { NodeIndex = 2, MinFlow = 2, MaxFlow = 8 },
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new() { NodeIndex = 3, MinFlow = 0, MaxFlow = 10 }
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};
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var calculator = new WaterDistributionCalculator(
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nodes: nodes,
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totalSteps: 10,
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totalMin: 5,
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totalMax: 20);
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var results = calculator.CalculateDistributions();
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// 结果分析（参考深度优化建议[6](@ref)）
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Console.WriteLine($"生成{results.Count}种有效分配方案");
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foreach (var result in results.Take(3))
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{
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Console.WriteLine($"总需水量: {result.TotalDemand:F2}m³/h");
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foreach (var (nodeId, flow) in result.NodeFlows)
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{
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Console.WriteLine($"{nodeId}: {flow:F2}m³/h");
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}
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Console.WriteLine();
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}
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}
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}
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