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73 Cahiers pour l'année 1996

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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...

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A management decision based on voting by a team of experts has been commonly used and has been examined by the social scientists. Various approaches have be...

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Clique partitionning in Euclidean space <b>R</b><sup>n</sup> consists in finding a partition of a given set of <i>N</i> points into <i>M</i> clusters in ord...

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The set of equilibrium points of a bimatrix game is the union of polytopes that are not necessarily disjoint. Knowledge of the vertices of these polytopes ...

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We consider a resource constrained shortest path problem in acyclic graphs, where resource windows are associated with the arcs, while lower and upper thres...

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We present a convergence proof of Tuy's cone splitting algorithm with a pure <img src="omega.gif" align=bottom>-subdivision strategy, for the minimization o...

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The disjoint bilinear programming problem can be reformulated using two distinct linear maxmin programming problems. There is a simple bijection between the...

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We describe a method of channel assignment for cellular telephone systems (in which a limited number of rearrangements are allowed) that gives good performa...

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A new hybrid algorithm is being introduced for solving Mixed Integer Nonlinear Programming (MINLP) problems which arise from study of many real-life enginee...

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We study the subgradient projection method for convex optimization with Brännlund's level control for estimating the optimal value. We establish global con...

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A decomposition method for global optimization, when some of the problem variables are integer, is presented. Potential solutions for a specific problem ar...

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This paper describes two variant of the Indian MARKAL model, a long-term technology oriented optimization model for energy-environment planning for India. T...

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Multi-commodity flow models are well known and have been widely used in the design of packet-switched networks. They have also been used as approximations ...

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Good heuristic solutions for large Multisource Weber problems can be obtained by solving related <i>p</i>-median problems in which potential locations of th...

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The analytic center cutting plane (ACCPM) methods aims to solve nondifferentiable convex problems. The technique consists of building an increasingly refine...

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This article describes a lower bounding procedure and heuristics for the <i>Cycle Cover Problem</i> which consists of determining a least cost cover of an u...

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This paper contains some 80 annotated references on the vehicle routing problem. The titles are organized as follows: 1) the classical VRP with capacity an...

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Systematic change of neighborhood within a local search algorithm yields a simple and effective metaheuristic for combinatorial optimization. We present a ...

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In this paper, we explore a weakness of a specific implementation of the analytic center cutting plane method applied to convex optimization problems, which...

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This paper presents a 0 - 1 column generation model with a resource constrained shortest path auxiliary problem for nurse scheduling. The master problem fin...

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Future patterns of climate change and economic growth are critical parameters in long­term energy planning. This paper describes a multi­stage stochastic p...

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Cet article présente une étude comparative des algorithmes de flot maximum pour la résolution du problème de fermeture maximale sur un graphe. Plusieurs ap...

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We study the problem of finding a shortest collision-free path for a point car-like robot maneuvering around polygonal obstacles in a room bounded by a poly...

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Clustering with a criterion which minimizes the sum of squared distances to cluster centroids is usually done in a heuristic way. An exact polynomial algori...

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This paper describes two interior-point algorithms for solving a class of monotone variational inequalities defined over the intersection of an affine set a...

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L'algorithme NJ de Saitou et Nei (1987) est l'une des méthodes les plus utilisées pour reconstruire des phylogénies à partir de matrices de distances évolut...

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A cutting plane algorithm for minimizing a convex function subject to constraints defined by a separation oracle is presented. The algorithm is based on app...

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This paper presents a scenario-oriented optimization model and solution algorithm to solve the joint routing/capacity assignment problem for computer networ...

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We show here how to define short exact sequences in pseudomodules. More precisely, for a given subpseudomodule <i>M</i> of a pseudomodule <i>N</i>, we defin...

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We derive the asymptotic distribution of the diaphony of <i>n</i> independent random variables uniformly distributed on [0,1], describe ways to approximate ...

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This paper deals with asymptotic optimality of a stochastic dynamic system driven by a singularly perturbed Markov chain with finite state space. The states...

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Uniformity tests based on a discrete form of entropy are introduced and studied in the context of empirical testing of uniform random number generators. Nu...

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This paper studies the problem of <img src="hinfty.gif" align=middle> control for linear systems with Markovian jumping parameters. The jumping parameters ...

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We consider a model for communications network design that includes the optimal location of switches (of which there are several types) and the design of th...

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Diverses classes de modèles permettant la génération de solutions pour des problèmes d'implantations d'usines sont décrits. La description de chacune des c...

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We study the problem of minimizing the peak load in single-command cycle shared storage policies. The peak load is the maximum of the daily material handlin...

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The paper is concerned with sustainable cooperation in a vertical two-member channel of distribution over an infinite planning horizon. Sustainable intertem...

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In a subway system, when a train leaves one station to go to another power consumption increases and, at one point, reaches a peak. When such peaks occur s...

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In this paper a new approach for the facility layout problem is presented. This approach combines genetic algorithms with linear programming to design the ...

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Two new path problems in graphs are studied: MINRANGE, i.e., find a path from a vertex <i>s</i> to a vertex <i>t</i> with the smallest possible range of a...

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We give an overview of the main techniques for generating uniform random numbers of computers. Theoretical and practical issues are discussed.

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This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the dete...

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This paper investigates a new phenomenon of degeneracy in the continuous location-allocation problem. This phenomenon relates to the existence of solutions ...

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This paper analyzes the productivity of a robotic production cell, functioning under a repetitive robot movement cycle. For a general <i>m</i> machine cell...

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Two new algorithms are proposed for the problem of positioning a new product in attribute space in order to attract the maximum number of consumers. Each c...

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Extension of input-output functions for generating units allows simultaneous solution of the static unit commitment and economic dispatch problems by dynami...

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This paper bears on the two most classical measures of concordance between two linear orders <i>L</i> and <i>L'</i>, the Kendall tau and the Spearman rho, o...

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A review is made of models and algorithms for probabilistic satisfiability and its extensions. The basic probabilistic satisfiability problem, in decision f...

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The multi-depot vehicle scheduling problem with time windows consists of scheduling a fleet of vehicles to cover a set of tasks at minimum cost. Each task i...

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We consider the problem of minimizing, over a fixed horizon, the peak load in single-command cycle dedicated storage policies. The daily load is the expecte...

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The problem of assigning locomotives to train-segments is very important for railway companies, in view of the high cost of operating locomotives. The prob...

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In the Generalized Traveling Salesman Problem (GTSP), the aim is to determine a least cost Hamiltonian circuit or cycle through several clusters of vertic...

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We have developed a new algorithm for nonlinear optimization problems with simple constraints. This algorithm is a natural extension of our unconstrained o...

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This paper deals with the robustness of the class of nonlinear piecewise deterministic systems with unknown but bounded uncertainties. Under the assumption...

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We consider a bilevel model where the leader wants to maximize revenues from a taxation scheme, while the follower rationnally reacts to those tax levels. W...

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Let <i>G =</i> (<i>V,E</i>) be an undirected graph and <i>c</i> any vector in Z<sub>+</sub><sup><i>V</i>(<i>G</i>)</sup>. Denote by <img src="chi.gif" alig...

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The column generation approach to large-scale linear programming is extended to the mixed-integer case. Two general algorithms, a dual and a primal one, are...

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Zone pricing consists in determining simultaneously several delivered prices together with the zones where they are applied. A model and algorithm are prop...

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In the airline industry, crew schedules consist of a number of pairings. These are round trips originating and terminating at the same crew home base compo...

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This paper presents an optimal dynamic programming algorithm, the first such algorithm in the literature to solve the shortest path problem with time window...

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A mixed graph <i>G<sub><img src="theta.gif"></sub></i> contains both undirected edges and directed arcs. A <i>k</i>-coloring of <i>G<sub><img src="theta.g...

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This paper describes the adaptation of MARKAL model to a developing country. The model has a planning horizon up to the year 2035. Logistic curve has been ...

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The maxmin problem models a game sequentially played by two players having opposite objective. Before making his move, the first player must anticipate the...

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This paper deals with stochastic stability of systems with Markovian jumps and Brownian motion. Mainly, we present sufficient conditions for quadratic stabi...

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We give lower and upper bounds for the number of reducible ears as well as upper bounds for the number of perfect matchings in an elementary bipartite graph...

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We present a new method for minimizing the sum of a convex function and a product of <i>k</i> nonnegative convex functions over a convex set. This problem i...

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This paper deals with the problem of how to render the jump linear quadratic (JLQ) control robust. Mainly, we present sufficient conditions for quadratic st...

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The majority of vehicle routing and crew scheduling problems studied up to date in the literature can be formulated by means of a unified model introduced b...

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This paper deals with the robustness of the class of nonlinear systems with Markovian jumping parameters and unknown but bounded uncertainties. Under the as...

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A government wishes to accelerate the adoption of a new technology in order to gradually replace an older one. The new technology is manufactured by a mono...

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We present several versions of a tabu search algorithm for the Steiner tree problem in graphs. A basic tabu search heuristic and versions with radical and/...

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In this paper, we address the optimal control issues corresponding to the planning of the production rate and maintenance rate of a failure prone manufactur...

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D.-c. programming is a recent technique of global optimization, which allows the solution of problems whose objective function and constraints can be expres...

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