Batch Deterministic and Stochastic Petri Nets: „Modelling, Analysis and Application to Inventory Systems”
| Authors: | Labadi Karim, Institute of Computer and Engineering of Troyes, France, Metropolitan
Chen Haoxun, Institute of Computer and Engineering of Troyes, France, Metropolitan
Amodeo Lionel, Institute of Computer and Engineering of Troyes, France, Metropolitan
Chu Chengbin, Institute of Computer and Engineering of Troyes, France, Metropolitan |
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| Topic: | 1.3 Discrete Event and Hybrid Systems |
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| Session: | Discrete Event and Hybrid Systems |
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| Keywords: | Petri nets, modelling, performance evaluation, inventory systems, supply chains. |
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Abstract
We recently introduced a new stochastic Petri net model called “batch deterministic and stochastic Petri nets” (BDSPNs) capable of describing the synchronization of discrete and batch token flows in discrete batch processes. It is a powerful formal model for the study of inventory systems and supply chains where materials are processed or ordered in finite discrete quantities (batches) and many operations such as inventory replenishment, manufacturing and distribution are usually performed in a batch way because of the batch nature of customer orders and/or in order to take advantages of the economies of scale. In this paper, the modelling and analysis powers of the model are demonstrated through inventory systems. We show particularly how to model and evaluate the performance of a continuous review (s, S) inventory system with stochastic and batch demand using BDSPNs.
