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arXiv 2006.04856cs.AI
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多机器人规划的并行程序设计:一种列生成方法

Integer Programming for Multi-Robot Planning: A Column Generation Approach

University of Maryland, College Park(马里兰大学帕克分校);University of Southern California(南加州大学);Verisk Computational and Human Intelligence Laboratory(Verisk计算与人类智能实验室);ESG UQAM(魁北克大学蒙特利尔分校高等管理学院);GERAD(蒙特利尔高等商学院决策分析研究组)

Naveed Haghani, Jiaoyang Li, Sven Koenig, Gautam Kunapuli, Claudio Contardo, Julian Yarkony

摘要:

我们考虑的问题,协调一个车队的机器人在仓库中,以最大限度地提高在一定的时间限制内实现的奖励,同时尊重问题和机器人的具体约束。我们制定的问题作为一个加权集包装问题的元素被定义为机器人可以占据的时空位置,可以拿起和交付的项目。我们强制要求机器人不碰撞,每个物品最多交付一次,并且任何时候活动的机器人数量不超过可用的总数。由于机器人路线的集合是不可重复的,我们使用列生成攻击优化,其中定价是资源受限的最短路径问题。

英文摘要:

We consider the problem of coordinating a fleet of robots in a warehouse so as to maximize the reward achieved within a time limit while respecting problem and robot specific constraints. We formulate the problem as a weighted set packing problem where elements are defined as being the space-time positions a robot can occupy and the items that can be picked up and delivered. We enforce that robots do not collide, that each item is delivered at most once, and that the number of robots active at any time does not exceed the total number available. Since the set of robot routes is not enumerable, we attack optimization using column generation where pricing is a resource-constrained shortest-path problem.

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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