Analysis of school bullying menace incorporating family education: a mathematical modeling approach by Adejimi Adeniji, Adejimi Adeniji, Adejimi Adeniji, Emmanuel Addai, Shatalov Michael, Kekana Malesela, Joshua Kiddy K. Asamoah, Joshua Kiddy K. Asamoah, Kayode Oshinubi

“…The trajectory changes with the fractional order, suggesting that the system's sensitivity to initial conditions or recent changes decreases as fractional order reduce from the normal dynamics (integer order). Essentially, a lower fractional order makes the system less reactive to short-term fluctuations and more stable.…”
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Design and Profit Allocation in Two-Echelon Heterogeneous Cooperative Logistics Network Optimization by Yong Wang, Yingying Yuan, Kevin Assogba, Ke Gong, Haizhong Wang, Maozeng Xu, Yinhai Wang

“…The optimization methodology includes the formation of cooperative coalitions, the reallocation of customers to appropriate logistics facilities, and the determination of the best profit allocation scheme. First, a mixed integer linear programing model is introduced to minimize the total operating cost of nonempty coalitions. …”
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Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities by Abdul Mateen, Wali Haider, Asia Shehzadi, Hüseyin Budak, Bandar Bin-Mohsin

“…The research emphasizes the importance of the Riemann–Liouville fractional operator in solving problems related to non-integer-order differentiation, highlighting its pivotal role in enhancing classical inequalities. …”
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A sustainable and reliable model for iron closed-loop supply chain network design with considering risk and lateral transmision and developed multi-objective decision-making method by Hamid Saffari, Morteza Abbasi, Jafar Gheidar-Kheljani

“…Purpose: This research proposes a multi-objective and robust model considering both cost and risks related to the environment (water consumption and environmental pollution), social responsibility (working conditions and employee health), operations (change in demand and return rates), and disruption (accs and diseases such as COVID-19) in the supply chain, using horizontal collaboration to deal with it.Methodology: In this research, mixed-integer linear programming and robust optimization technique have been used for closed-loop supply chain network design and a multi-objective method has been developed to solve the problem and create Pareto spaces.Findings: The results of the calculations show the effect of failure probability on the capacity of the facility, the total cost of the network and the degree of collaboration between members of the supply chain to deal with the risk. …”
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Optimal Allocation of Community Distributed Energy and Storage Based on Regional Autonomous Balance and Sharing Mechanism by Jiangping Liu, Jing Wang, Xue Cui, Peng Liu, Pingzheng Tong, Xuehan Dang

“…With the goal of minimizing the total operating cost of the community, the established model is linearized by using the Big-M method and the McCormick method and transformed into a mixed integer linear programming model that is easy to solve. …”
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Differential equations and recursive solutions for cosmological amplitudes by Song He, Xuhang Jiang, Jiahao Liu, Qinglin Yang, Yao-Qi Zhang

“…Finally, we show how the differential equations truncate for the de Sitter (dS) case (in a way similar to differential equations for Feynman integrals truncate for integer dimensions), which immediately yields the complete symbol for the dS amplitude with interesting structures e.g. for n-site chains and n-gon cases.…”
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A decentralized optimization framework for multi-MGs in distribution network considering parallel architecture by Dengyin Jiang, Xiaoqian Zhou, Qian Ai, Yuanjun Hou, Yuan Zhao

“…In order to ensure the stability of power flow and to incorporate unit commitment into the problem, a comprehensive economic dispatch model in the form of mixed-integer second-order cone programming (MISOCP) is developed and integrated into decentralized optimization framework. …”
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FPGA-QNN: Quantized Neural Network Hardware Acceleration on FPGAs by Mustafa Tasci, Ayhan Istanbullu, Vedat Tumen, Selahattin Kosunalp

“…To approach this goal, FPGA-QNN exploits the basics of quantized neural network (QNN) models by converting the high burden of full-precision weights and activations into integer operations. The FPGA-QNN framework comes up with 12 accelerators based on multi-layer perceptron (MLP) and LeNet CNN models, each of which is associated with a specific combination of quantization and folding. …”
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Process Optimization in Sea Ports: Integrating Sustainability and Efficiency Through a Novel Mathematical Model by Maria Teresa Pereira, Nuno Rocha, Francisco Gomes Silva, Miguel Ângelo Lellis Moreira, Yusuf Ozden Altinkaya, Marisa João Pereira

“…This study presents a Mixed Integer Linear Programming (MILP) model to address inefficiencies in berth allocation and stevedoring processes at the Port of Leixões, Portugal. …”
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Optimization problems in liquefied natural gas transport and storage for multimodal transport companies by Hongyu Zhang, Yiwei Wu, Lu Zhen, Yong Jin, Shuaian Wang

“…Therefore, this study formulates a nonlinear mixed-integer programming model for a multimodal transport and storage problem to optimize LNG carrier allocation, LNG storage planning, and LNG transport planning, aiming to minimize the total cost of multimodal transport, minus the rewards offered by ports. …”
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Transforming traffic accident investigations: a virtual-real-fusion framework for intelligent 3D traffic accident reconstruction by Yanzhan Chen, Qian Zhang, Fan Yu

“…While visual rendering by 3D-GS struggles under adverse conditions like nighttime or rain, a clustering parameter stochastic optimization model and mixed-integer programming Bayesian optimization (MIPBO) algorithm are proposed to enhance the segmentation of large-scale 3D point clouds. …”
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Multi-Dimensional Markov Chains of M/G/1 Type by Valeriy Naumov, Konstantin Samouylov

“…We consider an irreducible discrete-time Markov process with states represented as (<b><i>k</i></b><i>, i</i>) where <b><i>k</i></b> is an <i>M</i>-dimensional vector with non-negative integer entries, and <i>i</i> indicates the state (phase) of the external environment. …”
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A Markov decision optimization of medical service resources for two-class patient queues in emergency departments via particle swarm optimization algorithm by Chia-Hung Wang, Rong Tian, Kun Hu, Yu-Tin Chen, Tien-Hsiung Ku

“…By comprehensively considering the costs associated with patient waiting time, the cost of rejecting the most critical patients, and the total costs of beds and servers, a mixed-integer programming model was constructed with the objective of minimizing the total cost. …”
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Multi-objective planning and sustainability assessment for integrated energy systems combining ORC and multi-energy storage: 4E (economic, environmental, exergy and emergy) analysi... by Juntao Han, Kai Han, Yongzhen Wang, Yibo Han, Zhaonian Ye, Jiayu Lin

“…Therefore, a joint optimization model of economic, environmental and exergy for IES combining waste heat driven organic Rankine cycle (ORC) power generation and multi-energy storage is developed, and the emergy theory is introduced for system sustainability assessment. Firstly, the mixed-integer nonlinear optimization models for three scenarios of gas turbine (GT) without ORC, GT with ORC (GT-ORC) and solid oxide fuel cell (SOFC) with ORC (SOFC-ORC) are established, and the Pareto curve is obtained by using the augmented ε constraint. …”
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Presentating a multi-objective optimization model for resource-constrained project scheduling regarding financial costs, time delays and the reliability function by Saeideh Naderi, Mohsen Vaez-Ghasemi, Farzad Movahedi Sobhani

“…Hence, in order to mathematically model RCPSP, the first non-linear complex integer math programming was transformed into a linear programming model using the features of exponential functions. …”
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Real Time Fractional Robust Adaptive Scheme for Frequency Regulation in Double Area Hybrid Power System With Renewables by Ahmed Ragab, Dalia Allam, Ahmed F. Zobaa, Hazem Ali Attia

“…For fair comparison, results of the proposed scheme have been compared to that of the most efficient controllers obtained from the literature named fractional order proportional integral derivative controller and integral controller. Furthermore, the integer version of the proposed controller has been tested and compared with the proposed controller to prove the robustness of the fractional modification. …”
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A reliable supply chain network design for perishable crops with disruption risk consideration (case study: tomato supply chain) by Fateme Letafat, Mohammad Reza Gholamian, Mahsa Arabi

“…The goal of the proposed model is to maximize the total profit of the supply chain while considering the time to send the products to the consumers.Methodology: In this research, a mixed-integer non-linear programming model is proposed to optimize crops supply chain network design. …”
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Progressive Bitwidth Assignment Approaches for Efficient Capsule Networks Quantization by Mohsen Raji, Amir Ghazizadeh Ahsaei, Kimia Soroush, Behnam Ghavami

“…The proposed approaches include Post-Training Quantization (PTQ) strategies that minimize the dependence on floating-point operations and incorporates layer-specific integer bit-widths based on quantization error analysis. …”
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Quantum Hall effect in a CVD-grown oxide by Oleksandr Zheliuk, Yuliia Kreminska, Qundong Fu, Davide Pizzirani, Emily L.Q.N. Ammerlaan, Ying Wang, Sardar Hameed, Puhua Wan, Xiaoli Peng, Steffen Wiedmann, Zheng Liu, Jianting Ye, Uli Zeitler

“…The realization of such quantum phases in 2D oxides heavily relies on dedicated heterostructure growths. Here we show the integer quantum Hall effect achieved in chemical vapor deposition grown Bi2O2Se - a representative member of a more accessible oxide family. …”
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Sustainable closed-loop supply chain network design: heuristic hybrid approach with considering inflation and carbon emission policies by Saeid Kalantari, Hamed Kazemipoor, Farzad Movahedi Sobhani, Seyyed Mohammad Hadji Molana

“…Also, due to the complexity of the model and its multi-objective, a new combined method of Heuristic algorithm (HA) and Multi-Choice Goal Programming with Utility Function (MCGP-UF) is used. The proposed Mixed Integer Linear Programming (MILP) model is applied in the electronics industry.Findings: The proposed model is evaluated in several experiments and discussed in different scenarios to confirm the efficiency and validity of the proposed model and method. …”
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