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Communication Dans Un Congrès Année : 2014

A heap of pieces model for the cyclic job shop problem

Résumé

In classical scheduling, a set of tasks is executed once while the determined schedule optimizes objective functions such as the makespan or earliness-tardiness. In contrast, cyclic scheduling means performing a set of generic tasks infinitely often while minimizing the time between two occurrences of the same task. Cyclic scheduling has several applications, e.g. in robotic industry (see Kats and Levner [1997]), in manufacturing systems (see Pinedo [2005] and Hillion and Proth [1989]) or multiprocessor computing (see Hanen and Munier [1995b]). It has been studied from multiple perspectives, since there exist several possible representations of the problem such as graph theory, mixed integer linear programming, Petri nets or (max; +) algebra. An overview about cyclic scheduling problems and the different approaches can be found in Hanen and Munier [1995a]. However, a less known tool is the heaps of pieces approach. A first paper considering this modelling for cyclic scheduling is Gaubert and Mairesse [1999]. The authors introduce a method to represent safe Petri nets as particular automata which compute the height of heaps of pieces. This approach enables to compute efficiently the throughput of a cyclic schedule. In this paper, we use the heaps of pieces approach for solving cyclic scheduling problems with resource constraints.
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Dates et versions

hal-01026514 , version 1 (30-11-2015)

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  • HAL Id : hal-01026514 , version 1

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Laurent Houssin. A heap of pieces model for the cyclic job shop problem. International Conference on Project Management and Scheduling, Mar 2014, Munich, Germany. pp.112-115. ⟨hal-01026514⟩
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