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我有以下简单的问题，我想用它来试验 [MS Solver Foundation][1]：

我有 10 个插槽需要用 1 到 5 范围内的整数填充。我只想强制执行两个约束：

  • 槽[n] != 槽[n + 1]
  • 所有插槽的总和应大于 20

我可以简单地做出以下决定：

Decision s1 = new Decision(Domain.IntegerRange(1, 5), "slot1");
Decision s2 = new Decision(Domain.IntegerRange(1, 5), "slot2");
Decision s3 = new Decision(Domain.IntegerRange(1, 5), "slot3");
Decision s4 = new Decision(Domain.IntegerRange(1, 5), "slot4");
Decision s5 = new Decision(Domain.IntegerRange(1, 5), "slot5");
Decision s6 = new Decision(Domain.IntegerRange(1, 5), "slot6");
Decision s7 = new Decision(Domain.IntegerRange(1, 5), "slot7");
Decision s8 = new Decision(Domain.IntegerRange(1, 5), "slot8");
Decision s9 = new Decision(Domain.IntegerRange(1, 5), "slot9");
Decision s10 = new Decision(Domain.IntegerRange(1, 5), "slot10");

然后手动设置约束，如

model.AddConstraints("neighbors not equal",
               s1 != s2, s2 != s3, s3 != s4, s4 != s5,
               s5 != s6, s6 != s7, s7!= s8, s8 != s9, s9 != s10
               );

model.AddConstraint("sum",
              s1 + s2 + s3 + s4 + s5 + s6 + s7 + s8 + s9 + s10 > 20 );

然而，我不得不想象有更好的方法来做到这一点——希望在更类似于声明性语法的东西中。

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2 回答 2

2

编码。

SolverContext context = SolverContext.GetContext();
Model model = context.CreateModel();

Decision[] slot = new Decision[10];

for (int i = 0; i < slot.Length; i++)
{
    slot[i]  = new Decision(Domain.IntegerRange(1, 5), "slot" + i.ToString());
    model.AddDecision(slot[i]);
    if (i > 0) model.AddConstraint("neighbors not equal", slot[i-1] != slot[i]);
}

model.AddConstraint("sum", Model.Sum(slot) > 20);

Solution solution = context.Solve();
于 2009-09-10T19:43:58.977 回答
-1

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冷宁

于 2009-09-10T18:17:07.767 回答