有软时窗约束多车场开放式车辆路径问题是在基本的车辆路径问题上增加了时间窗约束和多车场作业的一种变化形式，是一个典型的NP-难问题。

MultiDepot Open Vehicle Routing Problem with soft time windows is a variation of the Vehicle Routing Problem con- strained by multidepot and soft time windows, which is a typical NP-hard problem.

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带软时间窗的车辆路径问题(VRPSTW)是在基本的车辆路径问题(VRP)上增加了时间窗约束条件的一种变化形式，是一个典型的NP -难问题。

Vehicle routing problem with soft time Windows (VRPSTW) is a variation of vehicle routing problem (VRP), which is a typical NP-hard problem.

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带软时间窗的车辆路径问题(VRPSTW)是在基本的车辆路径问题(VRP)上增加了时间窗约束条件的一种变化形式，是一个典型的NP -难问题。

Vehicle routing problem with soft time Windows (VRPSTW) is a variation of vehicle routing problem (VRP), which is a typical NP-hard problem.

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