From 3adc5ea6842bbb8d2d1947b582df6109c638a68c Mon Sep 17 00:00:00 2001
From: Mizux Seiha <mizux.dev@gmail.com>
Date: Fri, 8 Oct 2021 21:47:36 +0200
Subject: [PATCH] graph: Add BalanceMinFlow.java

---
 ortools/graph/samples/BalanceMinFlow.java | 117 ++++++++++++++++++++++
 1 file changed, 117 insertions(+)
 create mode 100644 ortools/graph/samples/BalanceMinFlow.java

diff --git a/ortools/graph/samples/BalanceMinFlow.java b/ortools/graph/samples/BalanceMinFlow.java
new file mode 100644
index 0000000000..70e97199cf
--- /dev/null
+++ b/ortools/graph/samples/BalanceMinFlow.java
@@ -0,0 +1,117 @@
+// Copyright 2010-2021 Google LLC
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+// [START program]
+package com.google.ortools.graph.samples;
+// [START import]
+import com.google.ortools.Loader;
+import com.google.ortools.graph.MinCostFlow;
+import java.util.ArrayList;
+import java.util.List;
+// [END import]
+
+/** Minimal Assignment Min Flow.*/
+public class BalanceMinFlow {
+  public static void main(String[] args) throws Exception {
+    Loader.loadNativeLibraries();
+    // [START solver]
+    // Instantiate a SimpleMinCostFlow solver.
+    MinCostFlow minCostFlow = new MinCostFlow();
+    // [END solver]
+
+    // [START data]
+    // Define the directed graph for the flow.
+    int[] teamA = new int[] {1, 3, 5};
+    int[] teamB = new int[] {2, 4, 6};
+
+    int[] startNodes = new int[] {
+    0, 0,
+    11, 11, 11,
+    12, 12, 12,
+    1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6,
+    7, 8, 9, 10};
+    int[] endNodes = new int[] {
+    11, 12,
+    1, 3, 5,
+    2, 4, 6,
+    7, 8, 9, 10, 7, 8, 9, 10, 7, 8, 9, 10, 7, 8, 9, 10, 7, 8, 9, 10, 7, 8, 9, 10,
+    13, 13, 13, 13};
+    int[] capacities = new int[] {
+    2, 2,
+    1, 1, 1,
+    1, 1, 1,
+    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+    1, 1, 1, 1};
+    int[] unitCosts = new int[] {
+    0, 0,
+    0, 0, 0,
+    0, 0, 0,
+    90, 76, 75, 70, 35, 85, 55, 65, 125, 95, 90, 105, 45, 110, 95, 115, 60, 105, 80, 75, 45, 65, 110, 95,
+    0, 0, 0, 0};
+
+    int source = 0;
+    int sink = 13;
+    // Define an array of supplies at each node.
+    int[] supplies = new int[] {4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4};
+    // [END data]
+
+    // [START constraints]
+    // Add each arc.
+    for (int i = 0; i < startNodes.length; ++i) {
+      int arc = minCostFlow.addArcWithCapacityAndUnitCost(
+          startNodes[i], endNodes[i], capacities[i], unitCosts[i]);
+      if (arc != i)
+        throw new Exception("Internal error");
+    }
+
+    // Add node supplies.
+    for (int i = 0; i < supplies.length; ++i) {
+      minCostFlow.setNodeSupply(i, supplies[i]);
+    }
+    // [END constraints]
+
+    // [START solve]
+    // Find the min cost flow.
+    MinCostFlow.Status status = minCostFlow.solve();
+    // [END solve]
+
+    // [START print_solution]
+    if (status == MinCostFlow.Status.OPTIMAL) {
+      System.out.println("Total cost: " + minCostFlow.getOptimalCost());
+      System.out.println("");
+      for (int i = 0; i < minCostFlow.getNumArcs(); ++i) {
+        // Can ignore arcs leading out of source or intermediate nodes, or into sink.
+        if (minCostFlow.getTail(i) != 0 &&
+            minCostFlow.getTail(i) != 11 &&
+            minCostFlow.getTail(i) != 12 &&
+            minCostFlow.getHead(i) != 13) {
+          // Arcs in the solution have a flow value of 1. Their start and end nodes
+          // give an assignment of worker to task.
+          if (minCostFlow.getFlow(i) > 0) {
+            System.out.println(
+                "Worker " + minCostFlow.getTail(i) +
+                " assigned to task " + minCostFlow.getHead(i) +
+                " Cost: " + minCostFlow.getUnitCost(i));
+          }
+        }
+      }
+    } else {
+      System.out.println("Solving the min cost flow problem failed.");
+      System.out.println("Solver status: " + status);
+    }
+    // [END print_solution]
+  }
+
+  private BalanceMinFlow() {}
+}
+// [END program]