Combining Deterministic and Probabilistic Approaches in an Improved Volumetric Model With the Aim to Reduce Geological Uncertainties for Accurate Hydrocarbon Reserve Estimation: Ca... by Bawane Godwe Justine, Mambou Ngueyep Luc Leroy, Tchotang Theodore, Eze Eze Jordan

“…To achieve this goal, a mathematical model was built using the volumetric expression of the stock tank original oil in place (STOIIP), the Raymer–Hunt expression of porosity and transit time, and the Simandoux model modified by the Schlumberger expression of water saturation. …”
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A multi-objective robust possibilistic programming approach to designing sustainable and reliable closed-loop supply chain network (case study: aluminum industry) by Sajad Amirian, Maghsoud Amiri, Mohammad Taghi Taghavifard

“…The proposed approach eliminates the need for iterative consideration by decision-makers by providing unlimited choices from the optimism-pessimism spectrum. The mathematical model developed in this research is of mixed integer linear programming type, which is implemented in GAMS software to solve it and find Pareto optimal solutions.Findings: The accuracy of the overall performance of the proposed model has been evaluated with four examples (based on the coefficients of the objective functions) from a case study in the aluminium industry. …”
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Soil erosion by assessing hydrothermal conditions of its formation by A.B. Achasov, A.A. Achasova, A.V. Titenko

“…Formation of the soil’s natural profile on the slopes, caused by the action of natural factors of soil formation, can be described using a mathematical model, characterizing hydrothermal conditions of the slope areas through relative parameters of insolation (Ki) and moisture. …”
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On geometry of fixed figures via φ−interpolative contractions and application of activation functions in neural networks and machine learning models by Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Mohammad Sajid

“…By challenging the conventional assumption of zero self-distance, we pave the way for more accurate mathematical models applicable to real-world scenarios. …”
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Numerical Simulation of Low-Permeability Reservoirs with considering the Dynamic Boundary Layer Effect by Chuanzhi Cui, Yingfei Sui, Xiangzhi Cheng, Yinzhu Ye, Zhen Wang

“…On this basis, the mathematical model of oil-water two-phase flow which involves influence of the boundary layer was constructed, and the comparative analysis of the development effect is performed. …”
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Secure Localization in Wireless Sensor Networks with Mobile Beacons by Ting Zhang, Jingsha He, Hong Yu

“…The proposed SLMB scheme is also designed to resist wormhole attacks, and localization is developed based on a mathematical model to design a path for the mobile beacon node to traverse in order to cover the entire sensor network. …”
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Study on the heat transfer characteristics of mine roadway surrounding rock under periodic airflow temperature: Numerical simulation and experimental validation by Mingyan Guo, Yueping Qin, Dongyang Han, Fei Tang, Shibin Wang, Hairong Wang

“…In this work, a heat transfer mathematical model of roadway surrounding rock under periodic airflow temperature was established. …”
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Contact Characteristics Analysis of the Internal Meshing Gear Transmission Pair with Double Contact Points by Liang Dong, Li Ming, Jiang Peng, Xu Xiangyang, He Zeyin

“…Based on Hertz contact theory, the mathematical model of instantaneous contact ellipse of tooth profiles is established and the equations of contact trajectory are also derived. …”
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Multi-Task Simultaneous Supervision by Afifah Rizka, Sukoyo Sukoyo, Muhammad Akbar

“…Workload balance is calculated using the Workload Smoothness Index (WSI). The mathematical model developed uses three techniques: Mixed-Integer Linear Programming (MILP), Mixed-Integer Quadratic Programming (MIQP), and Mixed-Integer Quadratically Constrained Programming (MIQCP). …”
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Investigation of Mechanical Properties of FDM-Processed Acacia concinna–Filled Polylactic Acid Filament by S. Muthu Natarajan, S. Senthil, P. Narayanasamy

“…To estimate the strength of PLA/AC composites, mathematical models were developed. In addition, the fractured specimen was examined using scanning electron microscopy to determine the mechanism of fracture. …”
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Numerical investigation of heat and mass transfer for unsteady multiphase flow in a vented cavity filled with hybrid nanofluid by Muhammad Ashhad Shahid, Mojtaba Dayer, Muhammad Adil Sadiq, Haris Ali, Ishak Hashim

“…The investigation employs a novel dimensionless mathematical model to explore these dynamics using Buongiorno’s approach, which considers Brownian motion and thermophoresis in nanofluids. …”
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Foreign trade of Russia and Vietnam: modern trends and prospects of development by B. A. Anikin, O. B. Anikin, N. Q. Thyong

“…The study develops a mathematical model for forecasting exports and imports of Russia and Vietnam by individual indicators until 2025. …”
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Cluster validity indices for automatic clustering: A comprehensive review by Abiodun M. Ikotun, Faustin Habyarimana, Absalom E. Ezugwu

“…Different cluster validity indices exhibit different characteristics based on the mathematical models they employ in determining the values for the various cluster attributes. …”
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Design and Analysis of an Optical Coupler for Concentrated Solar Light Using Optical Fibers in Residential Buildings by Afshin Aslian, Barmak Honarvar Shakibaei Asli, Chin Joo Tan, Faisal Rafiq Mahamd Adikan, Alireza Toloei

“…This study deals with designing and simulating a high-efficiency coupler, employing a mathematical model to connect sunlight with fiber optics for multiple applications. …”
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Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities by Nepal Chandra Roy

“…This study analyzes the influences of surface reactions on the natural convective flow, temperature, and oxygen concentration distributions in vertically placed multilayered cavities. A mathematical model for this problem is formulated with proper boundary conditions. …”
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Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model by Shamaila Batool, A. M. Alotaibi, Waris Khan, Ahmed Hussein Msmali, null Ikramullah, Wali Khan Mashwani

“…The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. …”
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Bench Testing and Modeling Analysis of Optimum Shifting Point of HMCVT by Yu Qian, Zhun Cheng, Zhixiong Lu

“…To decrease shift impact on agricultural tractors with HMCVT (Hydromechanical Continuously Variable Transmission) and find the best working point, the following methods are proposed in this paper: firstly, conducting all-factor method and response surface method (RSM) to design and carry out bench test of shift impact; secondly, using the basic linear fitting, RSM, and stepwise regression analysis to establish comprehensive mathematical models and selecting models with high prediction accuracy; thirdly, putting forward the method of determining the weight of variance to match parameters of three quality evaluation indexes with inconsistent correlation; finally, establishing the total shift quality evaluation index and obtaining the optimal shift working point. …”
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Determination of Optimum Conditions for the Production of Activated Carbon Derived from Separate Varieties of Coconut Shells by E. S. Sanni, M. E. Emetere, J. O. Odigure, V. E. Efeovbokhan, O. Agboola, E. R. Sadiku

“…The results from experiment and the developed mathematical model were both found to be in agreement giving the optimum concentration of phosphoric acid and pH for producing activated carbon to be 0.67 M and 2.07 for the tall tree variety and 1 M and 1.98 for the dwarf variety at optimum temperatures in the range of 450–575°C and 575°C, respectively.…”
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Investigation of vibration protection system of a seat with quasi-zero stiffness under stochastic effects on the elements of running equipment of a motor grader by M. S. Korytov, V. S. Shcherbakov, I. E. Kashapova

“…With the help of a complex simulation mathematical model of a motor grader developed in the Matlab environment, including subsystems of vibration-protective cab supports, a vibration-protective mechanism of the operator's seat, setting stochastic effects on the elements of running equipment when moving along a microrelief, a computational experiment is carried out, when processing the results of which, the influence of a number of system parameters on the root-mean-square seat acceleration deviation in the vertical direction. …”
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Cyclic surfaces accompanying non-ruled quadrics of rotation by K. L. Panchuk, T. M. Myasoedova, E. V. Lyubchinov

“…The geometric scheme of surface shaping is based on a construction that includes: a curvilinear axis of rotation and a one-parameter set of its normal planes; a generatrix whose points describe in normal planes circular trajectories centered on a curvilinear axis. A mathematical model of shaping the surface of non-linear rotation for the general case of specifying the axis of rotation and the generatrix is given. …”
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