APPLICATION OF IMPROVED HOPFIELD NETWORK TO CYCLIC FMS SCHEDULING

Abstract This paper proposes a model of an application of Hopfield neural network to the Flexible Manufacturing Systems scheduling problem. The cyclic scheduling of this problem is NP-hard. This model describes details in calculating Work In Progress from the schedule taking into account the corresponding linked, precedence and disjunctive constraints. An unconstrained optimisation model is formulated and a methodology of applying Hopfield neural network is given. Three different scheduling benchmarks are used for testing and comparative experimental results are provided, with a conclusion discussed indicating the advantage of this approach.

[1]  Xiao-lan Xie,et al.  A heuristic algorithm for the periodic scheduling and sequencing job-shop problem , 1987, 26th IEEE Conference on Decision and Control.

[2]  H. P. Hillion,et al.  Analyse de fabrications non linéaires et répétitives à l'aide de graphes d'événements temporisés , 1988 .

[3]  J. C. Gentina,et al.  Petri net modeling of ratio-driven flexible manufacturing systems and implications on the WIP for cyclic schedules , 1995, 1995 IEEE International Conference on Systems, Man and Cybernetics. Intelligent Systems for the 21st Century.

[4]  Mahesan Niranjan,et al.  A theoretical investigation into the performance of the Hopfield model , 1990, IEEE Trans. Neural Networks.

[5]  Xiaofei Huang,et al.  A new kind of Hopfield networks for finding global optimum , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[6]  Ari K. Jónsson,et al.  Cyclic Scheduling , 1999, IJCAI.

[7]  Jiyin Liu,et al.  The classification of FMS scheduling problems , 1996 .

[8]  Rémy Dupas,et al.  A genetic algorithm to solving the problem of flexible manufacturing system cyclic scheduling , 2002, IEEE International Conference on Systems, Man and Cybernetics.

[9]  Peter B. Luh,et al.  Lagrangian relaxation neural networks for job shop scheduling , 2000, IEEE Trans. Robotics Autom..

[10]  Rémy Dupas,et al.  A genetic approach to solving the problem of cyclic job shop scheduling with linear constraints , 2005, Eur. J. Oper. Res..

[11]  Wang Wan-Liang,et al.  Hopfield neural networks approach for job shop scheduling problems , 2003, Proceedings of the 2003 IEEE International Symposium on Intelligent Control.

[12]  Salvatore Cavalieri On the Use of an Enhanced Hopfield Neural Model to Solve FMS Performance Optimization Problem , 2004, Applied Intelligence.

[13]  Ouajdi Korbaa,et al.  Heuristic for the resolution of the general FMS cyclic scheduling problem , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.