Computer-assisted and automated conjecture-making in graph theory is reviewed, focusing on the three operational systems GRAPH, Graffiti and AutoGraphiX (AGX...

The problem retained for the ROADEF'2001 international challenge was a frequency assignment problem with polarization constraints (FAPP). This NP-hard probl...

Two ways for bounding <i>n</i>-variables functions over a box, based on interval evalu- ations of first order derivatives, are compared. The optimal Baumann...

The shortest path problem with resource constraints consists of finding the minimum cost path between two specified points while respecting constraints on r...

We consider the bilevel uncapacitated facility location problem with user preferences. It is known that this model may be reformulated as a one-level locati...

The multiprocessor scheduling problem with communication delays that we consider in this paper consists of finding a static schedule of an arbitrary task gra...

In this exploratory study, a segmentation analysis of a shopping mall’s customers is conducted according to the activities they performed during their visit,...

We consider the design of a hybrid opto-electronic network with grooming. We propose a model in which we take into account the fact that grooming traffic req...

A zone-dependent fixed cost is introduced within the framework of minisum location of facilities in the continuous space. An efficient algorithm for determin...

This paper examines the convergence properties of two well-known heuristics: variable neighborhood search (VNS) and random multistart local search (MLS). Bot...

When applying the 2-opt heuristic to the travelling salesman problem, selecting the best improvement at each iteration gives worse results on average than se...

The berth allocation problem is to allocate space along the quayside to incoming ship at a container terminal in order to minimize some objective function....

This paper reviews state-of-the-art models and approaches for solving a wide variety of public transit problems encountered at the strategic, tactical, and...

The berth allocation problem is to allocate berths (i.e., sections of the quayside) to ships arriving in a container port in order to minimize the sum of the...

Variable Neighborhood Search (VNS) is a recent metaheuristic, or framework for building heuristics, which exploits systematically the idea of neighborhood ch...

We define two classes of lower bounds using either one or two simplices for the minimization of a concave function over a polytope. For each of them, a pro...

It is well known that the set of correlated equilibrium distributions of a noncooperative game is a convex polytope that includes all the Nash equilibrium ...

We explore how a simple linear change of variable affects the inclusion functions obtained with Interval Analysis methods. Univariate and multivariate pol...

We develop and analyze parallelization strategies for the Variable Neighborhood Search (VNS) meta-heuristic applied to the <i>p</i>-median problem. The stra...

Albertson (1997) defines the <i>imbalance</i> of an edge (<i>i,j</i>) in <i>E</i> of a graph <i>G</i> = (<i>V,E</i>) as | <i>d_i - d_j</...