Displaying similar documents to “A branch-and-price-and-cut algorithm for the pattern minimization problem”

A branch-and-price-and-cut algorithm for the pattern minimization problem

Cláudio Alves, J.M. Valério de Carvalho (2009)

RAIRO - Operations Research

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In cutting stock problems, after an optimal (minimal stock usage) cutting plan has been devised, one might want to further reduce the operational costs by minimizing the number of setups. A setup operation occurs each time a different cutting pattern begins to be produced. The related optimization problem is known as the Pattern Minimization Problem, and it is particularly hard to solve exactly. In this paper, we present different techniques to strengthen a formulation proposed in the...

Column-generation in integer linear programming

Nelson Maculan, Marcos de Mendonça Passini, José André de Moura Brito, Irene Loiseau (2003)

RAIRO - Operations Research - Recherche Opérationnelle

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We present an exact method for integer linear programming problems that combines branch and bound with column generation at each node of the search tree. For the case of models involving binary column vectors only, we propose the use of so-called geometrical cuts to be added to the subproblem in order to eliminate previously generated columns. This scheme could be applied to general integer problems without specific structure. We report computational results on a successful application...

A branch-and-cut algorithm for a resource-constrained scheduling problem

Renaud Sirdey, Hervé L. M. Kerivin (2007)

RAIRO - Operations Research

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This paper is devoted to the exact resolution of a strongly -hard resource-constrained scheduling problem, the , which arises in relation to the operability of certain high-availability real-time distributed systems. Based on the study of the polytope defined as the convex hull of the incidence vectors of the admissible process move programs, we present a branch-and-cut algorithm along with extensive computational results demonstrating its practical relevance, in terms of both exact...

Variable Neighborhood Search for Solving the Capacitated Single Allocation Hub Location Problem

Maric, Miroslav (2013)

Serdica Journal of Computing

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In this paper a Variable Neighborhood Search (VNS) algorithm for solving the Capacitated Single Allocation Hub Location Problem (CSAHLP) is presented. CSAHLP consists of two subproblems; the first is choosing a set of hubs from all nodes in a network, while the other comprises finding the optimal allocation of non-hubs to hubs when a set of hubs is already known. The VNS algorithm was used for the first subproblem, while the CPLEX solver was used for the second. Computational results...

Branch and Cut based on the volume algorithm: Steiner trees in graphs and Max-cut

Francisco Barahona, László Ladányi (2006)

RAIRO - Operations Research

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We present a Branch-and-Cut algorithm where the volume algorithm is applied instead of the traditionally used dual simplex algorithm to the linear programming relaxations in the root node of the search tree. This means that we use fast approximate solutions to these linear programs instead of exact but slower solutions. We present computational results with the Steiner tree and Max-Cut problems. We show evidence that one can solve these problems much faster with the volume algorithm...

Solution approaches to large shift scheduling problems

Monia Rekik, Jean-François Cordeau, François Soumis (2008)

RAIRO - Operations Research

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This paper considers large shift scheduling problems with different shift start times and lengths, fractionable breaks and work stretch duration restrictions. Two solution approaches are proposed to solve the problems over a multiple-day planning horizon. The first approach is based on a local branching strategy and the second one is based on a temporal decomposition of the problem. Local branching is very efficient in finding good feasible solutions when compared to a classical branch-and-bound...

Strategies for LP-based solving a general class of scheduling problems.

Laureano F. Escudero, Gloria Pérez Sáinz de Rozas (1990)

Trabajos de Investigación Operativa

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In this work we describe some strategies that have been proved to be very efficient for solving the following type of scheduling problems: Assume a set of jobs is to be performed along a planning horizon by selecting one from several alternatives for doing so. Besides selecting the alternative for each job, the target consists of choosing the periods at which each component of the work will be done, such that a set of scheduling and technological constraints is satisfied. The problem...