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- Huizhen Zhang, Cesar Beltran-Royo, Miguel Constantino
- Computers & OR
- 2010

In this paper we study two formulation reductions for the quadratic assignment problem (QAP). In particular we apply these reductions to the well known Adams and Johnson [2] integer linearâ€¦ (More)

- Cesar Beltran-Royo, Jean-Philippe Vial, Antonio Alonso-Ayuso
- Comp. Opt. and Appl.
- 2012

- Cesar Beltran-Royo, Claude Tadonki, Jean-Philippe Vial
- Comp. Opt. and Appl.
- 2006

Lagrangian relaxation is commonly used in combinatorial optimization to generate lower bounds for a minimization problem. We study a modified Lagrangian relaxation which generates an optimal integerâ€¦ (More)

- Cesar Beltran-Royo, Huizhen Zhang, L. A. Blanco, J. Almagro
- European Journal of Operational Research
- 2013

We propose and analyze an effective model for the Multistage Multiproduct Advertising Budgeting problem. This model optimizes the advertising investment for several products, by considering crossâ€¦ (More)

To solve the multi-stage linear programming problem, one may use a deterministicor a stochasticapproach. The drawbacks of the two techniques are well known: the deterministic approach is unrealisticâ€¦ (More)

- Huizhen Zhang, Cesar Beltran-Royo, Liang Ma
- Annals OR
- 2013

The Quadratic Assignment Problem (QAP) can be solved by linearization, where one formulates the QAP as a mixed integer linear programming (MILP) problem. On the one hand, most of these linearizationâ€¦ (More)

- Cesar Beltran-Royo, Laureano F. Escudero, Juan F. Monge, R. E. Rodriguez-Ravines
- Computers & OR
- 2014

The multistage Stochastic Linear Programming (SLP) problem may become numerically intractable for huge instances, in which case one can solve an approximation for example the well known multistageâ€¦ (More)

Multistage Stochastic Linear Programming (SLP) suffers from scenario explosion as the number of stages or the number of stochastic parameters increases. In this case, either one solves the SLP modelâ€¦ (More)

- Cesar Beltran-Royo, J.-Ph. Vial, Antonio Alonso-Ayuso
- 2007

The Semi-Lagrangian Relaxation (SLR) method has been introduced in [BTV06] to solve the p-median problem. In this paper we apply the method to the Uncapacitated Facility Location (UFL) problem. Weâ€¦ (More)

- Cesar Beltran-Royo
- Annals OR
- 2009

The maximization of one-dimensional piecewise linear concave (OPLC) functions arises in the line search associated with the maximization of piecewise linear concave functions (e.g. Kelley cuttingâ€¦ (More)