Two-Stage Robust Optimization Considering the Uncertainty of Sources and Loads in Virtual Power Plants by Shixun Qi, Duo Li, Liyong Hou, Haili Wang, Li Xin, Yaojie Jin, Yuanji Cai, Mingfei Ban

“…Combining the duality theory, KKT conditions, and the Big-M method, the inner layer max-min optimization problem is transformed into a mixed integer linear programming problem. …”
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Optimizing land use for carbon neutrality: A scenario analysis in the Jakarta metropolitan area by Runsen Zhang, Chui Ying Lee, Marissa Malahayati, Yan Xu, Shin-ichi Onodera, Mitsuyo Saito, Iwan Ridwansyah, Ruci Wang

“…The model incorporated carbon dioxide (CO2) emission constraints to direct the structural optimization and spatial distribution of land use, with the aim of minimizing overall CO2 emissions. …”
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Joint Optimization Algorithm for UAV-Assisted Caching and Charging Based on Wireless Energy Harvesting by Yumeng Zhu, Qi Zhu

“…The proposed algorithm considers the revenue generated from UAVs providing caching and charging services to users, as well as the cost associated with leasing cache files and the UAV energy consumption. The optimization problem aimed at maximizing UAV utility is established under constraints related to power and cache capacity. …”
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Optimal scheduling of demand response contracts for a strategic aggregator in wholesale electricity market by Milad Baradaran Kenari, Taghi Barforoushi

“…Two types of contracts—load curtailment (LC) and load shifting (LS)—are considered strategies for demand response. The bi-level optimization problem is reformulated into a single-level mathematical program with equilibrium constraints (MPEC) by applying the Karush-Kuhn-Tucker (KKT) conditions. …”
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Energy-efficient data collection optimization for dual-UAV-assisted relay marine networks by Fukang Deng, Haibo Luo, Furong Xu, Ming Li, Jianshan Zhang

“…To address this non-convex mixed-integer nonlinear programming problem, a joint optimization algorithm is proposed. …”
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Convex Optimization and PV Inverter Control Strategy-Based Research on Active Distribution Networks by Jiachuan Shi, Sining Hu, Rao Fu, Quan Zhang

“…Afterwards, under the application of the second-order cone programming (SOCP) power-flow model, a linearization method of OLTC model and its tap change frequency constraints are proposed. The linear OLTC model, together with the linear models of the other equipment, constructs a mixed-integer second-order cone convex optimization (MISOCP) model. …”
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A Two-Stage Bin Packing Algorithm for Minimizing Machines and Operators in Cyclic Production Systems by Yossi Hadad, Baruch Keren

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Stochastic Portfolio Planning for Virtual Power Plants Using Stratified Sampling by Dosung Kim, Sung-Kwan Joo

“…Forecast errors are further modeled using a copula-based approach that captures spatial and temporal correlations. A two-stage mixed-integer programming method is employed to optimize resource allocation within Virtual Power Plants, aiming to increase revenue and reduce imbalance penalties. …”
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Joint optimization algorithm for task offloading resource allocation based on edge-end collaboration by Liuqing WU, Xiaorong ZHU

“…In order to solve the problem of limited mobile terminal resources and improve task processing efficiency,a task offloading resource allocation algorithm based on edge-end collaboration was proposed.With the goal of maximizing the total benefit of tasks,the optimal task offloading resource allocation problem based on Lyapunov theory was formed by the constraint of service QoS guarantee and resource limitation.Since the problem is NP-hard,it was decoupled into a channel resource allocation problem solved by KKT condition and a 0-1 integer programming problem about task assignment.Compared with the traditional algorithm,the complexity of the proposed algorithm was O(mn),the efficiency was improved by about 20%,and the delay was reduced more than 15%.…”
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Joint Optimization of Radio and Computational Resource Allocation in Uplink NOMA-Based Remote State Estimation by Rongzhen Li, Lei Xu

“…To address these limitations, this paper formulates a novel dynamic wireless resource allocation problem as a mixed-integer nonlinear programming (MINLP) model. By jointly optimizing sensor grouping and power allocation—considering sensor available power and outage probability constraints—the proposed scheme minimizes both estimation outage and transmission delay. …”
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Combinatorial Optimization of Service Order and Overtaking for Demand-Oriented Timetabling in a Single Railway Line by Dewei Li, Shishun Ding, Yizhen Wang

“…Demand-oriented train timetable optimization by minimizing travel time plays an important role in both theory and practice. …”
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Flexible robust optimization for Renewable-only VPP bidding on electricity markets with economic risk analysis by Hadi Nemati, Pedro Sánchez-Martín, Lukas Sigrist, Luis Rouco, Álvaro Ortega

“…The concept of average regret is developed and implemented through a set of mixed-integer linear constraints to help the RVPP operator gain relevant economic insights regarding this parameter. …”
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Towards Sustainable Shipping: Joint Optimization of Ship Speed and Bunkering Strategy Considering Ship Emissions by Qin Wang, Jiajie Zhou, Zheng Li, Sinuo Liu

“…To reduce the operating cost while conforming to the increasingly strict environmental regulations, the study first constructs a mixed-integer nonlinear optimization model. Subsequently, the nonlinear parts in the objective function and constraints are transformed into linear forms. …”
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A Robust Optimization Approach for E-Bus Charging and Discharging Scheduling with Vehicle-to-Grid Integration by Mingyu Kang, Bosung Lee, Younsoo Lee

“…The problem is formulated as a robust mixed-integer linear program (MILP), incorporating real-world operational constraints including dual-port chargers, emergency charging, and demand response. …”
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Jointly Optimizing Resource Allocation, User Scheduling, and Grouping in SBMA Networks: A PSO Approach by Jianjian Wu, Chanzi Liu, Xindi Wang, Chi-Tsun Cheng, Qingfeng Zhou

“…We first formulate the joint RA, US, and UG problems specifically for SBMA systems as an integer optimization task, aiming to maximize the number of users meeting QoS requirements. …”
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Distributionally Robust Optimal Configuration for Shared Energy Storage Based on Stackelberg Game Pricing Model by Caijuan QI, Baosheng CHEN, Dongni WEI, Zhao YANG

“…Then, to address the fluctuations of wind power output, a moment information-based distributionally robust optimization method is introduced to construct chance constraints to describe uncertainties, where the moment information is used to complete the ambiguity set to reduce the conservatism. …”
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Optimal Capacity Configuration of Residential Solar-Hydrogen Coupling Energy System with Hydrogen Vehicle Load by Zhenlan DOU, Chunyan ZHANG, Huirong ZHAO, Yuqi YAO, Daogang PENG

“…The mathematical model based on mixed integer linear programming theory is then proposed for system capacity configuration optimization. …”
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Comparing an Artificial Intelligence Planner with Traditional Optimization Methods: A Case Study in the Dairy Industry by Felipe Martins Müller, Vanessa Andréia Schneider, Olinto Cesar Bassi de Araujo, Claudio Roberto Scheer Júnior, Guilherme Lopes Weis

“…This article focuses on applying and analyzing APS compared to the following classical optimization methods: mathematical modeling based on Mixed-Integer Programming (MILP) and the Genetic Algorithm (GA). …”
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Literature review for the topic of automation of scheduling classes and exams in higher education institutions by Wadhah M Al-Gabri

“…Graph theory methods, heuristic and hybrid optimization algorithms, linear integer programming techniques, system analysis methods, and other modern techniques of discrete mathematics are applied to solve the problems in hand. …”
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Optimal Utilization of Ports’ Free-of-Charge Times in One Distribution Center and Multiple Ports Inventory Systems by Zhengyi Li

“…Focusing on stationary and integer-ratio policies, we formulate this inventory management problem as an optimization problem with a convex objective function and a set of integer-ratio constraints and present O(Nlog⁡N) time algorithm to solve the relaxed problem (relaxing the integer-ratio constraints) to optimality, where N is the number of the retailers. …”
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