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The Two-Dimensional Finite Bin Packing Problem (2BP) consists of determining the minimum number of large identical rectangles, bins, that are required for allocating without overlapping a given set of rectangular items. The items are allocated into a bin with their edges always parallel or orthogonal to the bin edges. The problem is strongly NP-hard and finds many practical applications. In this paper...
Lagrangian relaxation is usually considered in the combinatorial optimization community as a mere technique, sometimes useful to compute bounds. It is actually a very general method, inevitable as soon as one bounds optimal values, relaxes constraints, convexifies sets, generates columns etc. In this paper we review this method, from both points of view of theory (to dualize a given problem) and algorithms...
We review the recent three-volume monograph authored by Alexander Schrijver, Combinatorial Optimization - Polyhedra and Efficiency, Springer-Verlag, 2003, ISBN 3-540-44389-4, 1881 pages (in a slip-case), price: 89,95 .
. This is a summary of the most important results presented in the author’s PhD thesis (Spanjaard 2003). This thesis, written in French, was defended on 16 December 2003 and supervised by Patrice Perny. A copy is available from the author upon request. This thesis deals with the search for preferred solutions in combinatorial optimization problems (and more particularly graph problems). It aims at...
. This is a summary of the main results presented in the au-thor’s PhD thesis. This thesis was supervised by Arnaud Fréville, Xavier Gandibleux and Joaquín Rodriguez, and defended on 10 December 2003 at the University of Valenciennes (France). It is written in French and is available at http: //www3.inrets.fr/~delorme/Papiers/These/These.pdf. This work deals with a real-world planning problem in railroad...
This is a summary of the main results presented in the author’s PhD thesis. This thesis was supervised by El-Ghazali Talbi, and defended on 21 June 2005 at the University of Lille (France). It is written in French and is available at http://www.lifl.fr/~basseur/These.pdf. This work deals with the conception of cooperative methods in order to solve multi-objective combinatorial optimization problems...
The design of effective neighborhood structures is fundamental to the performance of local search and metaheuristic algorithms for combinatorial optimization. Significant efforts have been made in the creation of larger and more powerful neighborhoods that are able to explore the solution space more extensively and effectively while keeping computation complexity within acceptable levels. The most...
This is a summary of the most important results presented in the author’s PhD thesis. This thesis, written in French, was defended on November 2005 and supervised by Cristina Bazgan and Daniel Vanderpooten. A copy is available from the author upon request. This thesis deals with the complexity, approximation and resolution of the min–max and min–max versions of classical combinatorial optimization...
In this paper, we survey some results, conjectures and open problems dealing with the combinatorial and algorithmic aspects of the linear ordering problem. This problem consists in finding a linear order which is at minimum distance from a (weighted or not) tournament. We show how it can be used to model an aggregation problem consisting of going from individual preferences defined on a set of candidates...
This is a summary of the most important results of the author’s PhD thesis. This thesis, supervised by Vangelis Th. Paschos, was defended in October 2005 at the Université Paris Dauphine. It is written in French and is available on-line. The thesis is focused on combinatorial optimization problems, studied from the standpoint of polynomial approximation theory. We were interested both in structural...
The purpose of this paper is to introduce the area of Green Logistics and to describe some of the problems that arise in this subject which can be formulated as combinatorial optimization problems. The paper particularly considers the topics of reverse logistics, waste management and vehicle routing and scheduling.
The purpose of this paper is to illustrate the diversity of combinatorial problems encountered in the design of wireless switching systems. This is done via a representative selection of examples of real problems along with their associated solution methods. It should be emphasized that all the solution methods presented in this paper are successfully operating in the field at the time of writing.
This is a summary of the author’s PhD thesis supervised by Marie- Christine Costa and Frédéric Roupin and defended on 20 November 2006 at the Conservatoire National des Arts et Métiers in Paris (France). The thesis is written in French and is available upon request from the author. This work deals with two well-known optimization problems from graph theory: the maximum integral multiflow and the minimum...
The paper summarizes the main results of the author’s Ph.D. thesis presented in December 2006 at the École des Mines de Saint Étienne. The work was supervised by Alexandre Dolgui and Xavier Delorme. The thesis is written in French and is available upon request from the author. Its purpose is to provide decision support in the design and reconfiguration of modular machining lines with multi-spindle...
This is a summary of the author’s PhD thesis supervised by Paolo Nobili and defended on 20 April 2007 at the Università del Salento (Lecce). The thesis is written in English and is available from the author upon request. This work deals with multicast problems in wireless Ad-Hoc networks and some related variants.
This text summarizes the Ph.D. thesis defended by the author in November 2006 under the supervision of Olivier Hudry, at the Université Paris 1. The thesis is written in French and can be obtained from the author upon request. The first part of the thesis is mainly devoted to the study of distances between partitions, and more precisely to the transfer distance. In the second part, we design a method...
In bilevel optimization problems there are two decision makers, the leader and the follower, who act in a hierarchy. Each decision maker has his own objective function, but there are common constraints. This paper deals with bilevel assignment problems where each decision maker controls a subset of edges and each edge has a leader’s and a follower’s weight. The edges selected by the leader and by...
We survey the main results of the PhD Thesis presented by the author in January 2009 at the University of Padova. This work was supervised by Giacomo Zambelli. The thesis is written in English and is available from the author upon request. In this work we consider the Edmonds–Johnson property and we survey some related results. Next we present our contributions, that consist into two classes of matrices...
This text summarizes the PhD dissertation that was defended by the author in January 2009 under the supervision of Erik Demeulemeester at the Katholieke Universiteit Leuven (Belgium). The text is written in English and is available from the author upon request. The PhD dissertation is situated within the health care services domain and studies the impact of planning and scheduling procedures in the...
Scheduling a sports league can be seen as a difficult combinatorial optimization problem. We study some variants of round robin tournaments and analyze the relationship with the planar three-index assignment problem. The complexity of scheduling a minimum cost round robin tournament is established by a reduction from the planar three-index assignment problem. Furthermore, we introduce integer programming...
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