Gilles Savard
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In this paper, we study the aircraft loading problem (ALP) which consists of transporting a series of items between two different points by aircraft at a mi...
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In this paper, we survey applications and algorithms pertaining to an important class of price setting problems formulated in the framework of bilevel progr...
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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 bilevel programming formulation of a freight tariff setting problem where the leader consists in one among a group of competing carriers and t...
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We consider the problem of determining a set of optimal tolls on the arcs of a multicommodity transportation network. The problem is formulated as a bilevel...
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We pursue the study of concavity cuts for the disjoint bilinear programming problem. This optimization problem has two equivalent symmetric linear maxmin r...
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We present a branch and cut algorithm that yields in finite time, a globally <img src="epsilon.gif" align=bottom>-optimal (with respect to feasibility and o...
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We present branch and bound algorithms that enumerate in finite time all Nash equilibria for strategic and sequence form bimatrix games. For each forms, th...
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An FMS environment requires a flexible and adaptable material handling system. Automated guided vehicles (AGV) provide such a system. One of the component...
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This paper describes a decision support system based on a sophisticated mixed integer linear programming model, EUGENE, developed to help the regional decis...
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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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This paper presents a sophisticated mixed integer linear programming model developed to help the regional decision makers in the long-term planning of the s...
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We present a general methodology to study the electricity market of a country or region, under various pricing mechanisms. The approach is based on modifica...
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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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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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We study links between the bilevel linear and linear mixed 0-1 programming problems. A new reformulation of the linear mixed 0-1 programming problem into a...
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We propose a new exact algorithm for the convex-quadratic bilevel programming problem, i.e, for problems with convex objective function and convex constrain...
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The linear Bilevel Programming Problem (BLP) is an instance of a linear hierarchical decision process where the lower level constraint set is dependent on d...
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We present a method to compute valid concavity cuts for the linear maxmin programming problem. We consider a primal and a dual approach. In both cases the p...
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Several technologies and renewable energy forms are evaluated using the global energy model MARKAL. This report describes some advantages of such an approa...
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