这一步是一个简单的错误修正，它适用于您迄今为止识别出的所有问题实例。

This step is a simple bug fix, applied to all of the problem instances that you've identified so far.

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最后，针对所提出的改进算法，本文选择TSPLIB中典型的TSP问题实例，进行实际验证。

Finally, we use some benchmark problem in TSPLIB to verify the performance of the modified genetic algorithms.

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下面演示了这些问题的特定实例。

The following presents specific instances of these issues.

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Earlier theories-- it's wonderful to have scientific theories that you can use to handle these problems, which you cannot demonstrate any fact for whatsoever.

更早些的理论...,幸好我们还有些科学理论,可以用来处理这些问题,这些没有实例,可以证明的问题

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Now, it's also the case that this is fundamentally what class this algorithm falls into, it is going to take exponential amount of time.

哪个种类的一个实例,这个问题的时间复杂度是指数级的，也就是当n上升的时候。

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