English

Approximation Algorithms for P2P Orienteering and Stochastic Vehicle Routing Problem

Data Structures and Algorithms 2015-01-27 v1

Abstract

We consider the P2P orienteering problem on general metrics and present a (2+{\epsilon}) 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.

Keywords

Cite

@article{arxiv.1501.06515,
  title  = {Approximation Algorithms for P2P Orienteering and Stochastic Vehicle Routing Problem},
  author = {Shalabh Vidyarthi and Kaushal K Shukla},
  journal= {arXiv preprint arXiv:1501.06515},
  year   = {2015}
}
R2 v1 2026-06-22T08:13:16.661Z