Searcharxiv⌕ Search

arXiv subjects

Kaushal K Shukla

Publications and source records attributed to Kaushal K Shukla.

2 recordsLinked to original sources
arXiv2015

Approximation Algorithms for P2P Orienteering and Stochastic Vehicle Routing Problem

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.

cs.DS↗
arXiv2013

Approximation Algorithms for Vehicle Routing Problems with Stochastic Demands on Trees

We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length. Every tour begins at the depot, visits a subset of customers and returns to the depot without violating the capacity constraint. Randomized approximation algorithm achieving approximation guarantees of 2 for split-delivery VRPSD, and 3 for un-split delivery VRPSD are obtained.

cs.DS↗