Improved approximation algorithms for cumulative VRP with stochastic demands

Abstract

In this paper, we give randomized approximation algorithms for stochastic cumulative VRPs for the split and unsplit deliveries. The approximation ratios are max{1+1.5α, 3} and 6, respectively, where α is the approximation ratio for the metric TSP. The approximation factor is further reduced for trees. These results extend the results in Anupam Gupta et al. (2012) and Daya Ram Gaur et al. (2013). The bounds reported here improve the bounds in Daya Ram Gaur et al. (2016).