Probabilistic time-dependent vehicle routing problem

The probabilistic time-dependent vehicle routing problem is presented in this paper. It is a novel variant of the vehicle routing problem. The variant is a problem of finding optimal routes for a fleet of vehicles visiting customers in order to proceed delivery or pick-up. All customers must be visited in designated times with given probabilities and services must begin within the given time windows. Each vehicle has a given capacity, which must not be exceeded. The travel time between each two locations is dependent on a vehicle departure time. The paper also contains examples and solution results of testing data sets using the adaptive large neighbourhood search algorithm.