Orienteering problems (OPs) are typically used to model routing and trip planning problems. OP is a variant of the well known traveling salesman problem where the goal is to compute the highest reward path that includes a subset of nodes and has an overall travel time less than the specified deadline. Stochastic orienteering problems (SOPs) extend OPs to account for uncertain travel times and a...

Vehicle routing problems (VRPs) are very popular mainly because of their interesting combinatorial properties and applications to various industries. Informally, the problem is to provide a service to a set of customers using a fleet of vehicles so as to minimize the ‘transportation costs’ without loosing ‘customer satisfaction’. Many variations of the problem have been formulated corresponding...

The multiple-path orienteering problem asks for paths a team of robots that maximize the total reward collected while satisfying budget constraints on path length. This models many multirobot routing tasks, such as exploring unknown environments and information gathering environmental monitoring. In this article, we focus how to make robot robust failures when operating in adversarial environme...

In this paper we study the orienteering problem with time windows (OPTW) and the impact of relaxing the time windows on the profit collected by the vehicle. The way of relaxing time windows adopted in the orienteering problem with soft time windows (OPSTW) that we study in this research is a late service relaxation that allows linearly penalized late services to customers. We solve this problem...

The Team Orienteering Arc Routing Problem (TOARP) is the extension to the arc routing setting of the Team Orienteering Problem (TOP). In the TOARP a set of potential customers, each associated with an arc of a directed graph, is available and a profit is collected when a potential customer is served that is when the associated arc is traversed. A fleet of vehicles is available to visit the cust...

Given a graph G = (N, E), N representing the set of nodes associated with Normally distributed random profits and E representing the set of edges with associated travel times, we define the Orienteering Problem with Stochastic Profits (OPSP) as the problem of finding a tour that visits a subset of N within a prespecified time limit and maximizes the probability of collecting more than a prespec...

In this paper, we propose a Particle Swarm Optimization (PSO) based solution to the Orienteering Problem. A major problem in many PSO applications is the premature convergence of some particles to local optimums. To overcome this problem in our application, such particles are re-initiated; consequently, the exploration capability of PSO is improved. Furthermore, by employing Reduced Variable Ne...

In this paper we study the capacitated team orienteering problem where split deliveries are allowed. A set of potential customers is given, each associated with a demand and a profit. The set of customers to be served by a fleet of capacitated vehicles has to be identified in such a way that the profit collected is maximized, while satisfying constraints on the maximum time duration of each rou...