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- Christophe Duhamel, Philippe Lacomme, Alain Quilliot, Hélène Toussaint
- Computers & OR
- 2011

- Alain Quilliot
- J. Comb. Theory, Ser. B
- 1985

On a finite simple graph G = (X, E), p players pursuers A,, ‘., A, and one player evader B who move in turn along the edges of G are considered. The p pursuers A,, .‘., A, want to catch B who tries to escape. R. Nowakowski and P. Winkler [Discrete Math. 43 (1983), 235-2401 and A. Quilliot [“These de 3’cycle,” pp. 131-145, Universite de Paris VI, 19781… (More)

- Alain Quilliot
- Eur. J. Comb.
- 1989

Such a concept aims to formalize some problems related to points or intervals drawn on a circle or on the plane, or with geometric representations of finite groups «a, b, c) e F is to be read as 'b is located between a and c'). We move into the context of the so defined ternary relation some classical questions arising in the theory of partially ordered… (More)

- Alain Quilliot
- Eur. J. Comb.
- 1986

This paper presents a Particle SwarmOptimization (PSO) algorithm for solving Resource-Constrained Project Scheduling Problems (RCPSP). The PSO model is a new population based optimization strategy introduced by Kennedy and Eberhart in 1995. The PSO is a cooperative and competitive algorithm who belongs to the class of the evolutionary algorithms. We here… (More)

- Samuel Deleplanque, Safia Kedad-Sidhoum, Alain Quilliot
- RAIRO - Operations Research
- 2013

The paper addresses a multi-item, multi-plant lot-sizing problem with transfer costs and capacity constraints. The problem is reformulated according to a multi-commodity flow formalism, and decomposed, through Lagrangean relaxation, into a master facility location problem and a slave minimal cost multi-commodity flow problem. The decomposition framework… (More)

- Alain Quilliot
- J. Comb. Theory, Ser. A
- 1985

- Jean Damay, Alain Quilliot, Eric Sanlaville
- European Journal of Operational Research
- 2007

In this paper, the RCPSP (Resource Constrained Project Scheduling Problem) is solved using a linear programming model. Each activity may or may not be preemptive. Each variable is associated to a subset of independent activities (antichains). The properties of the model are first investigated. In particular, conditions are given that allow a solution of the… (More)

- Alain Quilliot
- Discrete Mathematics
- 1985

- Aziz Moukrim, Alain Quilliot
- Oper. Res. Lett.
- 2005