A Tight Approximation Algorithm for Multi-Vehicle CVRP with Unsplittable Demands on a Line
Journal of Systems Science and Complexity(2022)
摘要
In this paper, the authors study the multi-vehicle capacitated vehicle routing problem on a line-shaped network with unsplittable demand. The objective is to find a transportation scheme to minimize the longest distance traveled by a single vehicle such that all the customers are served without violating the capacity constraint. The authors show that this problem has no polynomial-time algorithm with performance ratio less than 2 on condition that P ≠ NP , and then provide a 2-approximation algorithm.
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关键词
Approximation algorithm,network,unsplittable demand,vehicle routing,worst-case analysis
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