Petri net control of a kanban loop

Abstract : Just in Time (JIT) is a management philosophy that favorates improvement through inventory reduction by producing only the right quantity at the right time. A kanban system is an important element of JIT philosophy. However, whereas kanban system is suitable when demand is stable, it should to be adjusted when demand is a significantly variable to be efficient. In addition, some works have proved that Petri nets are useful to model a kanban loop. Then, the objective of the present work is to exploit the analytical relation of Petri net models in order to improve the control of kanban system by using the real data provided by the system or by the product. This approach is based on the use of a continuous approximation of a discrete Petri net model in order to exploit a strategy of command based on gradient descent. In the present paper, two continuous approximations are proposed and compared.
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Submitted on : Monday, June 20, 2011 - 12:51:33 PM
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Philippe Thomas, André Thomas, Sana Belmokhtar. Petri net control of a kanban loop. International Conference on Industrial Engineering and Systems Management, IESM 2011, May 2011, Metz, France. pp.CDROM. ⟨hal-00601725⟩

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