Max Manfrin

Ant algorithms for the university course timetabling problem with regard to the state-of-the-art

Two ant algorithms solving a simplified version of a typical university course timetabling problem are presented -Ant Colony System and MAX-MIN Ant System. The algorithms are tested over a set of instances from three classes of the problem. Results are compared with recent results obtained with several metaheuristics using the same local search routine (or neighborhood definition), and a reference random restart local search algorithm. Further, both ant algorithms are compared on an additional set of instances. Conclusions are drawn about the performance of ant algorithms on timetabling problems in comparison to other metaheuristics. Also the design, implementation, and parameters of ant algorithms solving the university course timetabling problem are discussed. It is shown that the particular implementation of an ant algorithm has significant influence on the observed algorithm performance.

Hybrid Metaheuristics for the Vehicle Routing Problem with Stochastic Demands

This article analyzes the performance of metaheuristics on the vehicle routing problem with stochastic demands (VRPSD). The problem is known to have a computationally demanding objective function, which could turn to be infeasible when large instances are considered. Fast approximations of the objective function are therefore appealing because they would allow for an extended exploration of the search space. We explore the hybridization of the metaheuristic by means of two objective functions which are surrogate measures of the exact solution quality. Particularly helpful for some metaheuristics is the objective function derived from the traveling salesman problem (TSP), a closely related problem. In the light of this observation, we analyze possible extensions of the metaheuristics which take the hybridized solution approach VRPSD-TSP even further and report about experimental results on different types of instances. We show that, for the instances tested, two hybridized versions of iterated local search and evolutionary algorithm attain better solutions than state-of-the-art algorithms.

Parallel ant colony optimization for the traveling salesman problem

There are two reasons for parallelizing a metaheuristic if one is interested in performance: (i) given a fixed time to search, the aim is to increase the quality of the solutions found in that time; (ii) given a fixed solution quality, the aim is to reduce the time needed to find a solution not worse than that quality. In this article, we study the impact of communication when we parallelize a high-performing ant colony optimization (ACO) algorithm for the traveling salesman problem using message passing libraries. In particular, we examine synchronous and asynchronous communications on different interconnection topologies. We find that the simplest way of parallelizing the ACO algorithms, based on parallel independent runs, is surprisingly effective; we give some reasons as to why this is the case.

An analysis of communication policies for homogeneous multi-colony ACO algorithms

The increasing availability of parallel hardware encourages the design and adoption of parallel algorithms. In this article, we present a study in which we analyze the impact that different communication policies have on the solution quality reached by a parallel homogeneous multi-colony ACO algorithm for the traveling salesman problem. We empirically test different configurations of each algorithm on a distributed-memory parallel architecture, and analyze the results with a fixed-effects model of the analysis of variance. We consider several factors that influence the performance of a multi-colony ACO algorithm: the number of colonies, migration schedules, communication strategies on different interconnection topologies, and the use of local search. We show that the importance of the communication strategy employed decreases with increasing search effort and stronger local search, and that the relative effectiveness of one communication strategy versus another changes with the addition of local search.

Metaheuristics for the Vehicle Routing Problem with Stochastic Demands

In the vehicle routing problem with stochastic demands a vehicle has to serve a set of customers whose exact demand is known only upon arrival at the customer’s location. The objective is to find a permutation of the customers (an a priori tour) that minimizes the expected distance traveled by the vehicle. Since the objective function is computationally demanding, effective approximations of it could improve the algorithms’ performance. We show that a good choice is using the length of the a priori tour as a fast approximation of the objective, to be used in the local search of the several metaheuristics analyzed. We also show that for the instances tested, our metaheuristics find better solutions with respect to a known effective heuristic and with respect to solving the problem as two related deterministic problems.