A ReLU-based linearization approach for maximizing oil production in subsea platforms: An application to flow splitting

Camponogara, Eduardo; Seman, Laio Oriel; Müller, Eduardo Rauh; Miyatake, Luis Kin; Gaspari, Eduardo Ferreira; Vieira, Bruno Ferreira; Pacheco, Bruno Machado

doi:10.1016/j.ces.2024.120165

Cited by 1 publication

(1 citation statement)

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“…Using several linear models, the nonlinear system is approximated using this method within different areas of the condition space of the system. This approach allows for using linear control techniques for each segment, enabling the larger structure to be regulated effectively, notwithstanding its nonlinear nature [7].…”

Section: Introductionmentioning

confidence: 99%

Designing a Sustainable Nonlinear Model Considering a Piecewise Function for Solving the Risk of Hazardous Material Routing-Locating Problem

Abbasi,

Ardeshir Nasabi,

Vlachos

et al. 2024

Sustainability

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The problem of lot sizing and vehicle routing are combined to form the production routing problem. The efficiency of this combination in cutting expenses has been studied in the past. To reduce the risk associated with the manufacturing and distribution of hazardous products, the production routing problem is examined in this study. Researchers are paying more attention to sustainability’s social and environmental aspects. Hazardous materials are bad for the environment and human health. Mishaps using these substances frequently have unfavorable long-term effects. Risk is a criterion for measuring hazards in activities involving these materials. A mixed integer program is used to simulate the problem. The suggested model’s nonlinear risk function is dependent on the machine’s load, population risk, and hazardous substance. A piecewise linear function approximates this function since solving the mathematical model with the nonlinear objective function is more difficult. Several cases were utilized in this study to assess the model, solve it, and contrast the two linear and nonlinear models. The outcomes demonstrate that the approximation model may obtain a more accurate result simultaneously. The impact of alterations to warehousing and production capacity on risk has also been examined through sensitivity analysis. Using a nonlinear mathematical model, this study suggested a production routing problem for hazardous materials based on sustainability requirements and solved the model using a piecewise linear approximation.

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Section: Introductionmentioning

confidence: 99%