Frequency-Constrained Economic Dispatch of Microgrids Considering Frequency Response Performance by Zhigang Wu, Chuyue Chen, Danyang Xu, Lin Guan

“…First, the model aims to jointly optimize generation dispatch, reserve deployment, and the virtual inertia and damping constants of inverter-based resources to achieve a comprehensive optimization of both economic efficiency and frequency response performance. …”
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Max–Min Secrecy Rate and Secrecy Energy Efficiency Optimization for RIS-Aided VLC Systems: RSMA Versus NOMA by Omar Maraqa, Sylvester Aboagye, Majid H. Khoshafa, Telex M. N. Ngatched

“…The proposed frameworks consider random device orientation and guarantee the minimum user-rate requirement. The proposed optimization frameworks belong to the class of mixed integer nonlinear programming, which has no known feasible solution methodology to guarantee the optimal solution. …”
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Intelligent End-Edge Computation Offloading Based on Lyapunov-Guided Deep Reinforcement Learning by Xue Feng, Chi Xu, Xi Jin, Changqing Xia, Jing Jiang

“…Due to the fact that the problem is mixed integer nonlinear programming, we transform it into a deterministic problem based on Lyapunov optimization theory, and then model it as a Markov decision process. …”
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Cooperative Low-Carbon Trajectory Planning of Multi-Arrival Aircraft for Continuous Descent Operation by Cun Feng, Chao Wang, Hanlu Chen, Chenyang Xu, Jinpeng Wang

“…Secondly, to tackle the challenges of CDO in busy terminal areas, a T-shaped arrival route structure is designed to provide alternative paths and to generate a set of four-dimensional (4D) alternative trajectories. A Mixed Integer Programming (MIP) model is constructed for the 4D trajectory planning of multiple aircraft, aiming to maximize the efficiency of arrival traffic flow while considering conflict constraints. …”
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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

“…For solving low-dimension problems, the exact (epsilon) constraint multi-objective optimization method was used in the Lingo software. …”
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Deep Reinforcement Learning-Enabled Computation Offloading: A Novel Framework to Energy Optimization and Security-Aware in Vehicular Edge-Cloud Computing Networks by Waleed Almuseelem

“…Subsequently, a mixed-integer optimization model is formulated that simultaneously minimizes energy consumption and guarantees latency constraint. …”
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Study on distributed and dynamic resource management for delay-sensitive sensor network by Wei LIU, Jun LIU

“…The delay-aware dynamic resource management problem was investigated in sensor network,with a focus on resource allocation among the sensors and power control along the time.By taking account of average delay requirements and power constraints,the considered problem was formulated into a stochastic optimization problem.Inspired by Lyapunov optimization theory,the intractable stochastic optimization problem was transformed into a tractable deterministic optimization problem,which was a mixed-integer resource management problem.By exploiting the specific problem structure,the mixed-integer resource management problem was equivalently transformed into a single variable problem,and the cooperative distributed method was present to effectively solve it with guaranteed global optimality.Finally,a dynamic resource management algorithm was proposed to solve the original stochastic optimization problem.Simulation results show the performance of the proposed dynamic algorithm and reveal that there exists a fundamental tradeoff between delay requirements and power consumption.…”
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NUDIF: A Non-Uniform Deployment Framework for Distributed Inference in Heterogeneous Edge Clusters by Peng Li, Chen Qing, Hao Liu

“…Formulated as a mixed-integer nonlinear programming (MINLP) problem, NUDIF is responsible for planning the number of instances for each sub-model and determining the specific devices for deploying these instances, while considering computational capacity, memory constraints, and communication latency. …”
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Presenting a robust optimization model for the design of the green loop supply chain network in the power plant by taking into account the disruption in the supply chain by Javad Mohammadghasemi, Seyyed Esmaeil Najafi, Mohammad Fallah, Mohammad Reza Nabatchian

“…The aim of presenting this supply chain network is to meet customer demands for solar panels to generate clean energy.Methodology: A mixed-integer linear programming model, including facility location, supplier selection, optimal flow allocation, and determination of the optimal price of solar panels in the network, is considered. …”
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Comprehensive MILP Formulation and Solution for Simultaneous Scheduling of Machines and AGVs in a Partitioned Flexible Manufacturing System by Cheng Zhuang, Jingbo Qu, Tianyu Wang, Liyong Lin, Youyi Bi, Mian Li

“…The main objective is to numerically optimize the simultaneous scheduling of machines and AGVs while considering various workshop layouts and operational constraints. …”
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Optimization of Power System Black Start partition Target Network Taking into Account the Black Start Space-Time Support Capability of New Energy Station by Ruixin WANG, Jiguang SUN, Yan LIU, Lun CHENG, Ting XU, Guanghui SUN

“…Secondly, with the optimization objectives of minimizing electrical distance within the partition and the number of interconnections between partitions, an integer linear programming model for partition target network that takes into account EBSPS is established, in which EBSPS is transformed into a constraint on the number of partitions and other constraints such as power balance, partition connectivity, and flexibility resources are considered as well. …”
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Robust Expansion Planning of Electric Vehicle Charging System and Distribution Networks by Yue Xiang, Ping Xue, Yanliang Wang, Lixiong Xu, Wang Ma, Miadreza Shafie-khah, Junlong Li, Junyong Liu

“…Then, system reliability is quantified by adopting the average energy not supplied index and correlated integrated into the two-stage mixed-integer linear programming model. Finally, it is solved to perform distributionally robust expansion planning by the column and constraint generation algorithm. …”
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An Integrated Multi-Product Biodiesel and Bioethanol Supply Chain Model with Torrefaction Under Uncertainty by Farima Salamian, Masoud Rabbani, Amirmohammad Paksaz

“…To solve the bi-objective model, a three-stage approach is employed: first, uncertain parameters are defuzzified; second, the augmented epsilon-constraint method is applied to generate a set of efficient Pareto-optimal solutions; and third, robust optimization is used to handle real-world uncertainties, such as disruptions caused by natural disasters and sanctions, ensuring feasibility under different scenarios. …”
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Two-Stage Locating and Capacity Optimization Model for the Ultra-High-Voltage DC Receiving End Considering Carbon Emission Trading and Renewable Energy Time-Series Output Reconstru... by Lang Zhao, Zhidong Wang, Hao Sheng, Yizheng Li, Tianqi Zhang, Yao Wang, Haifeng Yu

“…Then, a carbon emission trading cost (CET) model is constructed based on the CET mechanism, and the two-stage locating and capacity optimization model for the UHV DC receiving end is proposed under the constraint of dispatch safety and stability. …”
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A novel hybrid adaptive strategy for real-time dispatch and scheduling in renewable-integrated EV charging stations by Guo Hao, Qiu Pengfei, Zhang Jiahui, Bai Xiang, Yan Laiqing, Zia Ullah

“…Unlike existing studies that treat power dispatch and EV scheduling as separate tasks or rely on heuristic methods, the proposed HADS model employs a Mixed-Integer Linear Programming (MILP) approach to co-optimally dispatch real-time energy and charge EVs within a unified decision-making framework. …”
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Assessment and enhancement of transfer capability for large-scale renewable generation base transmitted by voltage source converter based high voltage direct current system by Shiyuan Chen, Shunjiang Lin, Yuerong Yang, Kaiyun Jiang, Mingbo Liu

“…To solve the bi-level optimal power flow model, the Kriging surrogate model is used to obtain the relationship between the transfer capability and the types and sizes of the reactive power compensation devices at the anticipated installation buses, and the inner-layer transfer capability assessment model is replaced with equality constraints, thereby transforming the original bi-level optimal power flow model into a single-layer mixed-integer nonlinear programming model for direct resolution. …”
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A two-stage distributionally robust CVaR-constrained framework and its approximations for self-scheduling microgrid by Chen Zhang, Jinbao Jian, Linfeng Yang

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Emergency task scheduling algorithm for space-based networks by LI Zheyuan, HE Lijun, JIA Ziye, LI Bokang, WANG Yanting, MIN Minghui

“…Firstly, the emergency task scheduling problem was modeled as an integer programming problem to minimize the maximum transmission delay of emergency tasks. …”
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Spatio-Temporal Joint Planning for Integrated Energy Systems with Internet Data Center Considering Privacy Preservation by WU Chengbang, CHENG Zhijiang, LU Haifeng, YANG Handi

“…Therefore， when designing collaborative optimization solutions for IDCs and IES， it is essential to consider the privacy preservation of both systems. …”
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A mixed-method approach to develop an eco-robust supply chain management framework for Bangladeshi RMG industries by Md Al Amin, Roberto Baldacci

“…This relationship analysis was followed by a Mixed-Integer Linear Programming optimization to select cost-effective strategies that maximize eco-robust performance under budget constraints. …”
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