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arXiv · 1501.06515

Approximation Algorithms for P2P Orienteering and Stochastic Vehicle Routing Problem

Shalabh Vidyarthi·Kaushal K Shukla
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Abstract

We consider the P2P orienteering problem on general metrics and present a (2+ε) approximation algorithm. In the stochastic P2P orienteering problem we are given a metric and each node has a fixed reward and random size. The goal is to devise a strategy for visiting the nodes so as to maximize the expected value of the reward without violating the budget constraints. We present an approximation algorithm for the non-adaptive variant of the P2P Stochastic orienteering. As an implication of the approximation to the stochastic P2P orienteering problem, we define a stochastic vehicle routing problem with time-windows and present a constant factor approximation solution.

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Shalabh Vidyarthi, Kaushal K Shukla. 2015-01-26. Approximation Algorithms for P2P Orienteering and Stochastic Vehicle Routing Problem. https://arxiv.org/abs/1501.06515

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