Integrated Energy Management in Small-Scale Smart Grids Considering the Emergency Load Conditions: A Combined Battery Energy Storage, Solar PV, and Power-to-Hydrogen System by Hossein Jokar, Taher Niknam, Moslem Dehghani, Pierluigi Siano, Khmaies Ouahada, Mokhtar Aly

“…This study introduces an advanced Mixed-Integer Linear Programming model tailored for comprehensive electrical and thermal energy management in small-scale smart grids, addressing emergency load shedding and overload situations. …”
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Long-term Turnaround Planning for an Oil Refinery Using a Milp Model by Ricardo A. de O. Lima, Reginaldo Guirardello

“…This study presents a discrete-time mixed-integer linear programming (MILP) model to optimize long-term maintenance turnaround scheduling in an oil refinery focused on fuel production. …”
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Effective Heuristics for Solving the Multi-Item Uncapacitated Lot-Sizing Problem Under Near-Minimal Storage Capacities by Warut Boonphakdee, Duangrat Hirunyasiri, Peerayuth Charnsethikul

“…However, small- and medium-scale problems can be solved optimally by a Mixed-Integer Programming (MIP) solver with minimal running time.…”
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Enhancing Information Freshness and Energy Efficiency in D2D Networks Through DRL-Based Scheduling and Resource Management by Parisa Parhizgar, Mehdi Mahdavi, Mohammad Reza Ahmadzadeh, Melike Erol-Kantarci

“…We introduce a novel model for joint scheduling and resource management in D2D networks, taking into account environmental constraints. To preserve information freshness, measured by minimizing the average age of information (AoI), and to effectively utilize energy harvesting (EH) technology to satisfy the network's energy needs, we formulate an online optimization problem. …”
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Intelligent Supply Chain Management Modules Enabling Advanced Manufacturing for the Electric-Mechanical Equipment Industry by Chun-Hua Chien, Po-Yen Chen, Amy J. C. Trappey, Charles V. Trappey

“…The intelligent supplier selection and component ordering module dispatches orders that match the best options of suppliers based on combined analytic hierarchy process (AHP) analysis and multiobjective integer optimization. In the case study, the intelligent supplier selection and component ordering module demonstrates several acceptable Pareto solutions based on strict constraints, which is a very challenging task for decision makers without assistance. …”
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Energy Management of Fast Charging and Ultra-Fast Charging Stations With Distributed Energy Resources by Sony Susan Varghese, Syed Qaseem Ali, Geza Joos

“…This article explores a sustainable strategy involving distributed energy resources to meet the elevated power and energy demand due to DC fast charging and ultra-fast charging EV load on the electric power distribution network. The mixed integer quadratic optimization model developed ensures seamless integration of the renewable resources, the EV load, and the distribution grid while adhering to the power quality constraints. …”
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Hierarchical hub location model and hybrid algorithm for integration of urban and rural public transport by Wei Zhong, Zhicai Juan, Fang Zong, Huishuang Su

“…Based on the connection associated with central towns and the capacity constraints of hubs and to achieve the minimum total cost, this article proposes a mixed-integer programming model that employs a genetic and tabu search hybrid optimization algorithm to validate and analyze, which used the urban and rural public transport data from a specified area of Shandong province in China. …”
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Resource Management Based on Security Satisfaction Ratio with Fairness-Aware in Two-Way Relay Networks by Jun Zhao, Zhaoming Lu, Xiangming Wen, Haijun Zhang, Shenghua He, Wenpeng Jing

“…The joint problem of power allocation, and subchannel pairing and allocation aims to maximize the security satisfaction ratio for legitimate users subject to limited power and subchannel constraints. We model the security resource management problem as a mixed integer programming problem, which is decomposed into three subproblems, distributed power allocation, distributed subchannel allocation, and distributed subchannel pairing, and then solved it in constraint particle swarm optimization (CPSO), binary CPSO (B_CPSO), and classic Hungarian algorithm (CHA) method, respectively. …”
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Economic Production Quantity Model under Back Order, Rework, Imperfect Quality, Electricity Tariff, and Emission Tax by Dana Marsetiya Utama, Yolanda Dwi Asmara Putri, Shanty Kusuma Dewi

“…This study aims to develop a novel Economic Production Quantity (EPQ) model that integrates important sustainability and operational factors reorders, rework, imperfect quality, emission taxes, and variable electricity tariffs- by minimizing the total inventory cost while considering environmental and energy-related constraints. The model is formulated as an Integer Non-Linear Programming (INLP) problem, with two main decision variables: the total number of products produced in a cycle (y) and the maximum allowable reorder level (w). …”
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Indexation of Fixed-Income Portfolios to the IMA-B by Emilio Ricardo Carvalhais, Antonio Marcos Duarte Júnior

“…The resulting model is a mathematical programming problem with convex objective function, linear constraints and free and non-negative integer variables. …”
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Joint power allocation and subcarrier assignment for device to device in 5G time division duplex networks by Pan Zhao, Lei Feng, Peng Yu, Wenjing Li, Xuesong Qiu

“…The former is to develop optimal power allocation for each device-to-device pair and each cellular user, with the constraints of maximum power and quality of service. …”
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Design of a Logistics Nonlinear System for a Complex, Multiechelon, Supply Chain Network with Uncertain Demands by Aaron Guerrero Campanur, Elias Olivares-Benitez, Pablo A. Miranda, Rodolfo Eleazar Perez-Loaiza, Jose Humberto Ablanedo-Rosas

“…The problem is formulated as a mixed integer nonlinear programming model to find the optimal design of the distribution network. …”
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Transition Mechanism Design for Wind Power Participating in Energy Markets by WU Yang, LU Zhilin, ZHU Wenjing, LIU Shuangquan, LENG Yuan, ZHU Xinchun, LIU Mingbo

“…Additionally， the corresponding linearization methods are proposed to handle the product terms involving price， continuous variables， and absolute value terms in the upper objective， eventually transforming the single-level optimization model into a mixed-integer linear programming model. …”
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Virtual Node-Driven Cloud–Edge Collaborative Resource Scheduling for Surveillance with Visual Sensors by Xinyang Gu, Zhansheng Duan, Guangyuan Ye, Zhenjun Chang

“…Existing works have primarily focused on optimizing Quality of Service (QoS), latency, and energy consumption in edge computing under resource constraints. …”
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Temporal Evolution of Bradford Curves in Academic Library Contexts by Haobai Xue

“…This paper attributes the deviations from the theoretical J-shape to integer constraints on the number of journals and articles, extending Leimkuhler’s function to encompass highly productive core journals, where the theoretical journal number falls below one. …”
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Practical DU-CU Placement in an Enhanced Mobile BroadBand Request During 5G Traffic by Ange Joel Nounga Njanda, Joao Filipe Muchanga, Hojjat Baghban, Karcius Day R. Assis

“…In this study, we propose a Mixed-Integer Linear Programming (MILP) model to minimize the deployment costs of DU and CU functions while considering network performance metrics and resource constraints in the context of enhanced Mobile Broadband (eMBB) services. …”
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Multi-Satellite Task Parallelism via Priority-Aware Decomposition and Dynamic Resource Mapping by Shangpeng Wang, Chenyuan Zhang, Zihan Su, Limin Liu, Jun Long

“…Finally, we adopt the theory of temporal logic to formalize the execution order and time constraints of tasks and solve the dynamic scheduling problem through mixed-integer nonlinear programming to ensure the optimality and real-time updating of the scheduling scheme. …”
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Robust Two-stage Dispatch of Multi-area Integrated Electric-gas Systems: A Decentralized Approach by Nan Jia, Cheng Wang, Yao Li, Nian Liu, Tianshu Bi

“…The overall methodology includes the equivalent conversion for the robust two-stage program and the decentralized optimization for the equivalent form. To obtain a tractable and equivalent counterpart for the robust two-stage program, a quadruple-loop procedure based on the column-and-constraint generation (C&CG) and the penalty convex-concave procedure (P-CCP) algorithms is derived, resulting in a series of mixed integer second-order cone programs (MISOCPs). …”
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User preference–based QoS-aware service function placement in IoT-Edge cloud by Briytone Mutichiro, Younghan Kim

“…For this, several parameters, and factors such as capacity, latency, workload, and cost constraints, are considered. The proposed solutions are evaluated based on different metrics and the obtained results show the gap between the heuristic user preference placement algorithm and the optimal solution to be minimal.…”
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The County–Township–Village Station Location-Routing Problem for the Integration of Passenger and Freight Transport by Urban–Rural Buses by Xiaoting Shang, Jiaqi Sun, Xin Cheng, Hao Sun

“…This paper studies the county–township–village station location-routing problem for the integration of passenger and freight transport by urban–rural buses, aiming to develop an efficient transport network by establishing rational stations and designing optimal operation routes. A three-level county–township–village station network is proposed for the integration of passenger and freight transport, and a mixed-integer linear programming model is developed, including the constraints of location, allocation, capacity, and routing. …”
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