Effective Exact Solution Framework for Routing Optimization with Time Windows and Travel Time Uncertainty

We consider a vehicle routing problem with time windows under uncertain travel times where the goal is to determine routes for a fleet of homogeneous vehicles to arrive at the locations of customers within their stipulated time windows to the maximum extent, while ensuring that the total travel cost does not exceed a prescribed budget. … Read more

Robust Vehicle Routing under Uncertainty via Branch-Price-and-Cut

This paper contemplates how branch-price-and-cut solvers can be employed along with the robust optimization paradigm to address parametric uncertainty in the context of vehicle routing problems. In this setting, given postulated uncertainty sets for customer demands and vehicle travel times, one aims to identify a set of cost-effective routes for vehicles to traverse, such that … Read more

Estimation of Marginal Cost to Serve Individual Customers

This paper proposes a scenario-sampling framework to estimate the expected incremental routing cost required so as to incorporate a target customer into the stochastic supply chain network. The cost estimate is shown to converge to its true value with statistical guarantee as the number of samples increases, while the Hoeffding’s inequality can be utilized to … Read more

A branch-price-and-cut algorithm for the vehicle routing problem with time windows and multiple deliverymen

We address a variant of the vehicle routing problem with time windows (VRPTW) that includes the decision of how many deliverymen should be assigned to each vehicle. In this variant, the service time at each customer depends on the size of the respective demand and on the number of deliverymen assigned to visit this customer. … Read more

Using the primal-dual interior point algorithm within the branch-price-and-cut method

Branch-price-and-cut has proven to be a powerful method for solving integer programming problems. It combines decomposition techniques with the generation of both columns and valid inequalities and relies on strong bounds to guide the search in the branch-and-bound tree. In this paper, we present how to improve the performance of a branch-price-and-cut method by using … Read more