When tourists visit a city or region, they cannot visit every point of interest available, as they are constrained in time and budget. Tourist recommender applications help tourists by presenting a personal selection. Providing adequate tour scheduling support for these kinds of applications is a daunting task for the application developer. The objective of this paper is to demonstrate how exis...

The Team Orienteering Problem is a routing problem on a graph with durations associated to the arcs and profits assigned to visiting the vertices. A fixed number of identical vehicles, with a limited total duration for their routes, is given. The total profit gathered by all routes is to be maximized. We devise an extended formulation where edges are indexed by the time they are placed in the r...

Bran h-and-Cut Matteo Fis hetti DEI, University of Padova, 35131 Padova, Italy; Email: s h dei.unipd.it Juan Jos e Salazar Gonz alez DEIOC, University of La Laguna, 38271 Tenerife, Spain; Email: jjsalaza ull.es Paolo Toth DEIS, University of Bologna, 40136 Bologna, Italy; Email: ptoth deis.unibo.it Abstra t In the Orienteering Problem (OP) we are given an undire ted graph with edge weights and ...

In the orienteering problem, start and end points are specified along with other locations which have associated scores. Given a fixed amount of time, the goal is to determine a path from the start point to the end point through a subset of locations in order to maximize the total path score. In this paper, a fast and extremely effective heuristic is presented and tested on 67 problems taken fr...

This paper proposes an effective genetic algorithm (GA) with inserting as well as removing mutation so as to solve the Orienteering Problem (OP). In order to obtain improved results we have taken into consideration not only the total profit but also the travel length for the given path. The computer experiments that have been conducted on a large transport network (approximately 900 vertices) p...

The Team Orienteering Problem (TOP) is an attractive variant of the Vehicle Routing Problem (VRP). The aim is to select customers and at the same time organize the visits for a vehicle fleet so as to maximize the collected profits and subject to a travel time restriction on each vehicle. In this paper, we investigate the effective use of a linear formulation with polynomial number of variables ...