A New Design of Vibration Absorber for Periodic Excitation by Shyh-Chin Huang, Kao-An Lin

“…By appropriately choosing the design parameters, the PVA can be of resonance frequencies in integer multiples of the base frequency such that the PVA can absorb significant amount of higher harmonics in addition to the base harmonic. …”
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Distributed Energy Management of the Hybrid AC/DC Microgrid with High Penetration of Distributed Energy Resources Based on ADMM by Yaling Chen, Luxi Hao, Gaowen Yin

“…The energy management problem of the hybrid microgrid is formulated as a mixed-integer quadratic programming (MIQP) model, considering DER and energy storage system operation constraints, system operation constraints, and converter operation constraints. …”
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Path-Based Approach for Expanding Rail Transit Network in a Metropolitan Area by Anjun Li, Dian Wang, Qiyuan Peng, Lisha Wang

“…We formulate the studied problem as a mixed-integer linear model to obtain optimal construction links, the number of trains required on each link, and the path selected by each traveler such that the weighted sum of total costs from the perspective of travelers, operators, and investors is minimized. …”
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Equity-Oriented Train Timetabling with Collaborative Passenger Flow Control: A Spatial Rebalance of Service on an Oversaturated Urban Rail Transit Line by Chaoqi Gong, Baohua Mao, Min Wang, Tong Zhang

“…Considering train regulation constraints and passenger loading dynamics, a mixed-integer linear programming model is formulated. Based on the linear weighting technique, an iterative heuristic algorithm combining the tabu search and Gurobi solver is designed to solve the proposed model. …”
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Developing an efficient algorithm for robust school bus routing with heterogeneous fleet by Mohamad Ali Movafaghpour

“…This issue arose by violating some hard constraints.Methodology: In this research, a mixed linear integer programming for school bus routing with mixed loading by using a heterogeneous fleet is presented. …”
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Optimizing a Biobjective Production-Distribution Planning Problem Using a GRASP by Martha-Selene Casas-Ramírez, José-Fernando Camacho-Vallejo, Rosa G. González-Ramírez, José-Antonio Marmolejo-Saucedo, José-Manuel Velarde-Cantú

“…The problem is formulated as a mixed integer programming problem with two objectives. The objectives are to minimize the total costs and to balance the total workload of the supply chain, which consist of plants and depots, considering that it represents a company vertically integrated. …”
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Green Supply Chain Network Design with Economies of Scale and Environmental Concerns by Dezhi Zhang, Fangzi Zou, Shuangyan Li, Lingyun Zhou

“…The study aims to obtain a rational tradeoff between environmental influence and total cost. A mixed-integer nonlinear programming model is developed to determine the optimal location and size of regional distribution centers (RDCs) and the investment of environmental facilities considering the effects of economies of scale and CO2 emission taxes. …”
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Optimal Location of Biogas Plants in Supply Chains under Carbon Effects: Insight from a Case Study on Animal Manure in North Dakota by Yong Shin Park, Joseph Szmerekovsky, Alan Dybing

“…Therefore, this study proposes a mixed integer linear program that minimizes total supply costs and carbon emissions from an animal waste sourced biogas supply chain while it also incorporates carbon price in the model to see the impact of a carbon policy on tactical and strategic supply chain decisions. …”
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Location Problem - Routing a vehicle with a specified fuel capacity based on a tough time window and customer satisfaction by Mohammad Moshrefi

“…In this research, first, a mixed integer linear programming model is presented and then metaheuristic method based on Non-dominated Sorting Genetic Algorithm is proposed to find the optimal solution. …”
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Pareto-Optimization of HTS CICC for High-Current Applications in Self-Field by Giordano Tomassetti, Gianluca de Marzi, Giuseppe Celentano, Francesco Rizzo, Andrea Augieri, Antonio della Corte

“…Since the optimization process involved both integer and real geometrical variables, the choice of an evolutionary search algorithm was strictly necessary. …”
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Fractional order plus-negative sequence decoupling control strategy for dynamic voltage restorer by WU Chaojun, WANG Zhenyue, YANG Ningning, SHAO Wenquan

“…Secondly, to solve the problem that the traditional symmetric component method is not suitable for the analysis of the transient process of the system, the positive and negative zero sequence components of the instantaneous value of the asymmetric voltage and current signal are obtained by using the instantaneous symmetric component method. Then, the integer order plus-negative order decoupling control strategy is extended to fractional order, and the frequency domain method is combined with the robustness condition when the gain changes to correct the relevant parameters. …”
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Harmonic Analysis of Large Grid-Connected PV Systems in Distribution Networks: A Saudi Case Study by Yahya M. Al-Sharif, Gamal M. Sowilam, Tamer A. Kawady

“…This filtering technique is chosen due to its advantages including the simplicity, suitability for significant integer harmonic orders, and low cost. For evaluation tests, a detailed simulation is developed by the ETAP program for the overall selected project as well as the aimed PV subsystem. …”
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The Biobjective Bike-Sharing Rebalancing Problem with Balance Intervals: A Multistart Multiobjective Particle Swarm Optimization Algorithm by Yongji Jia, Yuanyuan Xu, Dong Yang, Jia Li

“…We formulate the BRP-BI as a biobjective mixed-integer programming model with the aim of determining both the minimum cost route for a single capacitated vehicle and the maximum average rebalance utility, an index for the balanced degree of station. …”
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Optimizing the Location of Virtual Stations in Free-Floating Bike-Sharing Systems with the User Demand during Morning and Evening Rush Hours by Zhuo Sun, Yiming Li, Yi Zuo

“…This optimization problem is generally formulated as a mixed-integer linear programming (MILP) model to maximize the user demand. …”
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Long Prediction Horizon FCS-MPC for Power Converters and Drives by Eduardo Zafra, Sergio Vazquez, Tobias Geyer, Ricardo P. Aguilera, Leopoldo G. Franquelo

“…To overcome this obstacle, the control problem can be formulated as an integer least-squares optimization problem, which is equivalent to the closest point search or closest vector problem in lattices. …”
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Optimizing cut order planning: A comparative study of heuristics, metaheuristics, and MILP algorithms by Sharif Al-Mahmud, Jose Alejandro Cano, Emiro Antonio Campo, Stephan Weyers

“…The first approach uses conventional metaheuristic algorithms, while the second transforms the nonlinear COP mathematical model into a Mixed Integer Linear Programming (MILP) problem and uses commercial solvers for solution. …”
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Research on the Distribution of Emergency Supplies during the COVID-19 Epidemic by Jian-guo Zheng, Qing Yang, Shui-lin Chen

“…With the shortest total distribution distance as the objective function, a mathematical model of mixed integer linear programming is established, and the crossover operation of the genetic algorithm, the destruction operator and the repair operator of the large neighborhood search algorithm are introduced in the brain storm optimization algorithm to enhance the diversity of the solution while making the solution toward the optimal direction. …”
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Designing a Scenario-Based Fuzzy Model for Sustainable Closed-Loop Supply Chain Network considering Statistical Reliability: A New Hybrid Metaheuristic Algorithm by Peyman Bahrampour, Seyyed Esmaeil Najafi, Farhad Hosseinzadeh lotfi, Ahmad Edalatpanah

“…In this study, a new nonlinear mathematical programming model of mixed integer was presented to formulate the problem of designing a sustainable closed loop supply chain, in which the three aspects of sustainability, i.e., social effect such as job creation, customer satisfaction, and distributors, environmental effects such as reducing air pollution, and economic effects such as reducing supply chain costs, increasing supply chain reliability, quality of returned products by customers, and product routing were considered. …”
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A Multifactory Integrated Production and Distribution Scheduling Problem with Parallel Machines and Immediate Shipments Solved by Improved Whale Optimization Algorithm by Vahid Abdollahzadeh, Isa Nakhaikamalabadi, Seyyed Mohammad Hajimolana, Seyyed Hesamoddin Zegordi

“…For the distribution side of the supply chain, we considered a limited number of homogeneous vehicles that immediately distribute the finalized orders to the customers. Then, a mixed-integer nonlinear programming model is developed to determine the detailed scheduling of production and distribution that minimizes the total costs of the supply chain including production, distribution, and late delivery costs. …”
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Extensions of Riordan Arrays and Their Applications by Paul Barry

“…We also describe an alternative family of Riordan arrays whose symmetrizations lead to the same integer sequences. The second application of this symmetrization process is to the area of the enumeration of lattice paths. …”
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