Variable Neighborhood Search is a recent metaheuristic based on the idea of systematic change of neighborhood during both a descent phase and an exploration...

The definition of a fullerene as a cubic polyhedron made up entirely of pentagons and hexagons is compatible with a huge variety of isomeric forms for struc...

A new local search heuristic, called J-MEANS, is proposed for solving the minimum sum-of-squares clustering problem. The neighborhood of the current solut...

The recent Variable Neighborhood Search (VNS) metaheuristic combines local search with systematic changes of neighborhood in the descent and escape from loc...

Treatment of imprecise probabilities within the probabilistic satisfiability approach to uncertainty in knowledge-based systems is surveyed and discussed. ...

The probabilistic satisfiability problem consists, given <i>m</i> logical sentences, with their probabilities to find if they are coherent, and if it is the...

We discuss the relationship between probabilistic logic and <img src="pi.gif" align=bottom>-CMS. Given a set of logical sentences and probabilities, the ou...

An exact algorithm is proposed for minimum sum-of-squares nonhierarchical clustering, i.e., for partitioning a given set of points from Euclidean <i>m</i>-s...

Given a graph <i>G</i> with <i>n</i> vertices and stability number <img src="alpha.gif" align=bottom>(<i>G</i>), Turán's theorem gives a lower bound on the ...

We study empirically the topology of the local minima of the 3-SAT problem. In particular, we analyze the size of the plateaus, their altitude, their attrac...

We consider Nash equilibria as correlated equilibria and apply polyhedral theory to study extreme Nash equilibrium properties. We obtain an alternate proof ...

If it is assumed that the final product of bromination of C₆₀ will obey two rules, (i) that no two <i>sp</i>³ carbons may be adjacent,...

A new algorithm, which exploits information from both ends of the network, is presented for the bicriterion shortest path problem. The algorithm extends eff...

A new algorithm, based on interval analysis, is proposed for global optimization of constrained nonlinear nonconvex functions of several variables. It expl...

Systematic change of neighborhood within a possibly randomized local search algorithm yields a simple and effective metaheuristic for combinatorial and glo...

Chopping a graph <i>G</i> means removing one edge from each connected component of <i>G</i> in parallel, and repeating this until no edges remain. The requi...

This article considers a tool loading problem whose objective is to minimize the number of tool switches over time in order to process several parts on a fl...

A hypergraph <i>H=(X,E)</i> is <i>nested</i> if its edges are pairwise disjoint or included one into the other. The <i>nesticity</i> of <i>H</i> is defined...

Given a set of entities, Cluster Analysis aims at finding subsets, called clusters, which are homogeneous and/or well separated. As many types of clusterin...

We study both the continuous and discrete problems of maximizing the product of two linear functions subject to all variables being between 0 and~1. We fir...