Benomar Farah, Abdelali Naciri Bensaghir and Tarras Iliass
In recent years, we observe that the robots are appearing in the world of logistics. The robotization of the supply chain represents undoubtedly one of the most effective ways to meet the challenges of the digitalization of trade and its consequences on the logistics chain. In this article, we model and we simulate the collective motion of robots in large storage warehouses. At the first time, we start by studying the Vicsek model and we try to expand this model, to add another zone of motion. Vicsek et al. in their simple model, they consider only the orientation zone of motion for each robot in the two-dimensional space. In this paper, we include a second zone of interaction named zone of repulsion R1 , where each robot attempts to maintain a minimum distance from the others. Our interest in this paper is to study, the effect to broaden the repulsion zone R1 and the orientation zone R2 on the motion of robots as a function of noise ƞ and density ρ, and to define from which the critical value of these zones R1c and R2c we can have an ordered motion. After the analysis of our results we describe the impact of our study on the storage management, the minimization of delivery time to customers and how we can integrate the complexity of the rise of global value chains for emerging countries. This investigation is performed over different situations via a numerical simulation. Implications of these findings are discussed.
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