Scalable structuration discussion

A new optimisation structure (Fig.2) for the scheduling of operational activities in a real-world pipeline network (Fig.l) has been addressed in this paper. In addition, a new computational procedure was developed, the Pre-Analysis module. The real scenario could be addressed mostly due to Pre-Analysis scalability. The considered scenario is particularly complex and involves more nodes and pipes, compared to the one discussed in a previous work [5]. In order to address this scenario, a decomposition approach was used. This decomposition relied on a Resoince Allocation block, which takes into accoimt production/consumption functions and typical lot sizes to determine a set of candidate sequences of pumping. Furthermore, a Pre-Analysis block uses candidate sequences to determine temporal and volume parameters. These parameters were used in a continuous-time MILP model, which indeed determines the short-term scheduling of each batch in each node of the pipeline network. The implemented structure can be used, for instance, to identify system bottlenecks and to test new operational conditions. Computation time has remained at few CPU seconds. The proposed approach have allowed that a monthly planning of production and consumption be detailed in short-time scheduling operations within the considered pipeline network. Thus, operational insights can be derived from the obtained solutions. As an ongoing research, the Pre-Analysis would be used to determine other parameters for the MILP model. 

This section discusses the theoretical methods adopted to explore the structure, energetics, and properties of sodium clusters. The scalability of ab initio methods and cumbersome computational efforts necessitate one to confine to Kohn-Sham DFT theoretical models. From the literature, it is clear that the local density approximation (LDA) is good for exploring relative energies of structures, while the gradient-based approximation (GGA) functionals work well for property evaluations [21]. As noted in our previous work [15], the trends in energetics and properties of... 

According to our experimental results [37], selectivity may be achieved by gas-phase catalyst delivery [38 0] on lithographically machined planar and nonplanar templates consisting of oxidized silicon surfaces. Our bottom-up fabrication approach is easy to carry out, scalable to large areas, and compatible with standard silicon microfabrication technology. In this specific CVD process, nanotube structures are designed and built first on planar patterns composed of SiOa and Si most of the substrates used in this study were Si(lOO) wafers capped with a lOO-nm-thick silica layer, however, below we discuss the case of thick silica layers (up to 8.5 M-m). 

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