The present article deals with supply chain management considered as a Discrete Event System (DES). We introduce a new modeling approach based on linear and non-stationary (max, +) equations obtained from a Timed Coloured Petri Nets (TCPN) describing the studied system’s behavior. Our contribution does not lie only on the modeling of the dynamics associated with vehicles and their timetables at different sites (e.g., suppliers, warehouses, customers), but also on the evaluation of loading, unloading, and delivery times of products from suppliers to customers, taking into account their appropriate characteristics (e.g., number, nature, destination). Moreover, a control approach is performed to optimize the number of vehicles to deploy on the network by ensuring product storage times below a given threshold at some specific sites considered strategic (e.g., delivery hubs). The developed models can be used as a decision-making system for logistic companies to result in efficient supply chain management. The developed models are tested and validated on several configurations and scenarios to demonstrate our approach’s applicability.

本文讨论了被视为离散事件系统（DES）的供应链管理。我们介绍了一种新的建模方法，该方法基于从定时彩色Petri网（TCPN）获得的线性和非平稳（max，+）方程，描述了所研究系统的行为。我们的贡献不仅在于与不同地点（例如，供应商，仓库，客户）的车辆及其时间表相关的动力学建模，还在于评估产品从供应商到客户的装卸时间，并考虑其适当的特征（例如，数量，性质，目的地）。而且，通过确保在某些具有战略意义的特定地点（例如，交付中心）确保产品存储时间低于给定阈值，执行控制方法以优化在网络上部署的车辆数量。开发的模型可以用作物流公司的决策系统，以实现有效的供应链管理。所开发的模型在几种配置和方案上进行了测试和验证，以证明我们的方法的适用性。