Dynamic Vehicle Routing with Priority Classes of Stochastic Demands

In this paper we introduce a dynamic vehicle routing problem in which there are multiple vehicles and multiple priority classes of service demands. Service demands of each priority class arrive in the environment randomly over time and require a random amount of on-site service that is characteristic of the class. To service a demand, one of the vehicles must travel to the demand location and remain there for the required on-site service time. The quality of service provided to each class is given by the expected delay between the arrival of a demand in the class, and that demand’s service completion. The goal is to design a routing policy for the service vehicles which minimizes a convex combination of the delays for each class. First, we provide a lower bound on the achievable values of the convex combination of delays. Then, we propose a novel routing policy and analyze its performance under heavy load conditions (i.e., when the fraction of time the service vehicles spend performi...

• Type: Journal
• Year: 2010
• Where: SIAMCO
• Authors: Stephen L. Smith, Marco Pavone, Francesco Bullo, Emilio Frazzoli
• Keywords: On-site Service, On-site Service Times, SIAMCO 2010, Vehicle