2017/02/17 by Neumann, Frank, Polyakovskiy, Sergey, Skutella, Martin +2
#90C27 #Data Structures and Algorithms (cs.DS) #F.2.2 #FOS: Computer and information sciences #G.2.1
paper · doi:10.48550/arxiv.1702.05217
Understanding the interactions between different combinatorial optimisation problems in real-world applications is a challenging task. Recently, the traveling thief problem (TTP), as a combination of the classical traveling salesperson problem and the knapsack problem, has been introduced to study these interactions in a systematic way. We investigate the underlying non-linear packing while traveling (PWT) problem of the TTP where items have to be selected along a fixed route. We give an exact dynamic programming approach for this problem and a fully polynomial time approximation scheme (FPTAS) when maximising the benefit that can be gained over the baseline travel cost. Our experimental investigations show that our new approaches outperform current state-of-the-art approaches on a wide range of benchmark instances.