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Revealing the optimality gap for Traffic Engineering algorithms

机译:揭示交通工程算法的最佳差距

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Traffic Engineering (TE) is important and necessary in order to fully utilize the existing network resources and reduce capital expenditure. Given its importance, many algorithms have been proposed in the literature. Unfortunately, there is still not a consistent methodology to evaluate these algorithms. Worse yet, some variants of the traffic engineering problem are known to be NP-hard. Thus, given a particular TE problem, in general, it is not possible to know the optimal solution; hence, it is difficult to assess how a particular heuristic algorithm performs. Even though several heuristic algorithms could be used to validate each other, the best solution from these algorithms could still be very far away from the optimal solution. We propose a novel methodology to evaluate TE algorithms. In this methodology, we construct TE problems with known optimal solutions and we then use these TE problem instances to test the performance of TE algorithms. We found that some TE algorithms perform poorly, and the result deviates from the optimum further as the problem size gets bigger. Our results suggest that there is large room for algorithm improvements and further research is required. Even though we only demonstrate the power of the methodology in the context of traffic engineering algorithms, the methodology is general enough that it could be applied in many other areas as well.
机译:为了充分利用现有的网络资源并减少资本支出,流量工程(TE)是重要且必要的。鉴于其重要性,文献中已经提出了许多算法。不幸的是,仍然没有一致的方法来评估这些算法。更糟糕的是,已知流量工程问题的某些变体是NP-hard的。因此,给定特定的TE问题,通常不可能知道最佳解决方案。因此,很难评估特定启发式算法的性能。即使可以使用几种启发式算法来相互验证,但这些算法中的最佳解决方案仍可能与最佳解决方案相去甚远。我们提出了一种新颖的方法来评估TE算法。在这种方法中,我们用已知的最优解构造TE问题,然后使用这些TE问题实例来测试TE算法的性能。我们发现某些TE算法的性能较差,并且随着问题规模的增大,结果还会进一步偏离最优值。我们的结果表明,算法仍有很大的改进空间,需要进一步研究。即使我们仅在流量工程算法的背景下演示了该方法的强大功能,但该方法足够通用,因此也可以应用于许多其他领域。

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