Displaying similar documents to “A new branch and bound algorithm for project scheduling with resource constraints”

Reservation table scheduling: branch-and-bound based optimization . integer linear programming techniques

Hadda Cherroun, Alain Darte, Paul Feautrier (2007)

RAIRO - Operations Research

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The recourse to operation research solutions has strongly increased the performances of scheduling task in the High-Level Synthesis (called hardware compilation). Scheduling a whole program is not possible as too many constraints and objectives interact. We decompose high-level scheduling in three steps. Step 1: Coarse-grain scheduling tries to exploit parallelism and locality of the whole program (in particular in loops, possibly imperfectly nested) with a rough view of the target...

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...

Lower bounds for the scheduling problem with uncertain demands

Djamel Berkoune, Khaled Mesghouni, Besoa Rabenasolo (2006)

International Journal of Applied Mathematics and Computer Science

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This paper proposes various lower bounds to the makespan of the flexible job shop scheduling problem (FJSP). The FJSP is known in the literature as one of the most difficult combinatorial optimisation problems (NP-hard). We will use genetic algorithms for the optimisation of this type of problems. The list of the demands is divided in two sets: the actual demand, which is considered as certain (a list of jobs with known characteristics), and the predicted demand, which is a list of uncertain...

An introduction to multiprocessor scheduling.

J.K. Lenstra, A.H.G. Rinnooy (1981)

Qüestiió

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This is a tutorial survey of recent results in the area of multiprocessor scheduling. Computational complexity theory provides the framework in which these results are presented. They involve on one hand the development of new polynomial optimization algorithms, and on the other hand the application of the concept of NP-hardness as well as the analysis of approximation algorithms.

Scheduling multiprocessor tasks on two parallel processors

Jacek Błażewicz, Paolo Dell'Olmo, Maciej Drozdowski (2002)

RAIRO - Operations Research - Recherche Opérationnelle

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In this work scheduling multiprocessor tasks on two parallel identical processors is considered. Multiprocessor tasks can be executed by more than one processor at the same moment of time. We analyze scheduling unit execution time and preemptable tasks to minimize schedule length and maximum lateness. Cases with ready times, due-dates and precedence constraints are discussed.

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

Cláudio Alves, J. M. Valério de Carvalho (2008)

RAIRO - Operations Research - Recherche Opérationnelle

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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...

Consistency checking within local search applied to the frequency assignment with polarization problem

Michel Vasquez, Audrey Dupont, Djamal Habet (2003)

RAIRO - Operations Research - Recherche Opérationnelle

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We present a hybrid approach for the Frequency Assignment Problem with Polarization. This problem, viewed as Max-CSP, is treated as a sequence of decision problems, CSP like. The proposed approach combines the Arc-Consistency techniques with a performed Tabu Search heuristic. The resulting algorithm gives some high quality solutions and has proved its robustness on instances with approximately a thousand variables and nearly ten thousand constraints.