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arXiv 1802.08042math.OC
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2 VRP:一个小而富VRP的基准问题

2VRP: a benchmark problem for small but rich VRPs

Vladimir Deineko, Bettina Klinz

摘要:

我们考虑一个2-车辆路径问题(2 VRP),它可以被看作是一个积木的各种车辆路径问题(VRP)。作为一个简化版本的2 VRP,我们考虑了一个2-周期平衡的流动推销员问题(2 TSP),并描述了多项式可解的情况下,这个NP-难问题。对于具有一般设置的2 VRP,我们建议一个基于Held和Karp动态规划算法的框架。我们的算法基于这个框架显示了非常好的性能上公布的测试数据。我们的方法可以很容易地扩展到各种约束/属性的VRP,因此,我们的论文的标题中的措辞“小,但丰富”。我们还介绍了一种新的方法:我们使用容易解决的特殊情况下生成测试实例,然后使用这些实例在计算实验。

英文摘要:

We consider a 2-vehicle routing problem (2VRP) which can be viewed as a building block for the variety of vehicle routing problems (VRP). As a simplified version of the 2VRP, we consider a 2-period balanced travelling salesman problem (2TSP) and describe a polynomially solvable case of this NP-hard problem. For the 2VRP with general settings, we suggest a framework based on the Held and Karp dynamic programming algorithm. Our algorithms based on this framework show an exceptionally good performance on the published test data. Our approach can be easily extended to a variety of constraints/attributes in the VRP, hence the wording "small but rich" in the title of our paper. We also introduce a new methodological approach: we use easy solvable special cases for generating test instances and then use these instances in computational experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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