Location Design of Electric Vehicle Charging Facilities: A Path-Distance Constrained Stochastic User Equilibrium Approach by Wentao Jing, Kun An, Mohsen Ramezani, Inhi Kim

“…In the upper level, the objective is to maximize coverage of BEV flows by locating a given number of charging stations on road segments considering budget constraints. A mixed-integer nonlinear program is proposed to formulate this model. …”
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Development a forward-reverse network optimization model with delay reduction and multistage fuzzy demand satisfaction policy by Vajiheh Torkian, Amir Shojaie, Omid Boyer Hassani

“…The proposed model is mixed-integer linear programming and for its validation and applicability, it has been solved by GAMS software, a numerical example using simulated data in deterministic and uncertain state. …”
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Planning of Fast Charging Station for Electric Vehicles Equipped With Renewable Energy Sources and Energy Storage System Considering Economic and Environmental Objectives by Hannaneh Baghaei, Meisam Jaafari, Mohammad Alizadeh

“…In this article, a mixed-integer linear programming model is presented to determine the capacity of RESs and battery energy storage system in a charging station, considering two objective functions including the minimization of economic costs and emissions. …”
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Handling Multiple-Fuel Options in Economic Dispatch of Thermal Power Plants Through a Tight Model Applying Indicator Variables by Hossein Sharifzadeh

“…The inclusion of these binary variables and nonlinear cost functions results in a complex NP-hard mixed-integer nonlinear programming (MINLP). This paper provides another perspective on the ED, where indicator variables represent the MF options and determine which cost functions should be set to zero. …”
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Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain by Daniel Arturo Olivares Vera, Elias Olivares-Benitez, Eleazar Puente Rivera, Mónica López-Campos, Pablo A. Miranda

“…The model is formulated as a mixed-integer linear programming problem and solved by using well-known commercial software. …”
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Dynamical and computational analysis of a fractional predator-prey model with an infectious disease and harvesting policy by Devendra Kumar, Jogendra Singh, Dumitru Baleanu

“…We created a new dynamic model full of such ideas by examining systems with fractional-order non-integer systems and introducing fractional-order systems that can remember in order to comprehend that specific system. …”
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Improving resilience of networked multi-energy carrier microgrids through proactive scheduling by Ali Akbar Ghasemi, Mohsen Gitizadeh, Mohammadali Norouzi

“…The optimization problem is modeled as a two-stage mixed-integer linear programming. In the first stage, scheduling of the microgrids is programmed in normal mode. …”
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A comprehensive investigation of fractional glucose-insulin dynamics: existence, stability, and numerical comparisons using residual power series and generalized Runge-Kutta method... by Khalid I. A. Ahmed, Safa M. Mirgani, Aly Seadawy, Sayed Saber

“…The regulation of blood glucose levels involves complex interactions between glucose, insulin, and beta cells, where disruptions may lead to diabetes. Traditional integer-order models fail to capture the memory-dependent and hereditary properties of biological systems. …”
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Frequency Assignment Model of Zero Divisor Graph by R. Radha, N. Mohamed Rilwan

“…In this paper, our aim is to find the minimum spanning sharp upper frequency bound λ2,1 and λ3,2,1, within Δ2, in terms of maximum and minimum degree of Γ by the distance labeling L2,1 and L3,2,1, respectively, for some order η=pnq,pqr,pn where p,q,r are distinct prime and n is any positive integer.…”
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Collaborative Multidepot Petrol Station Replenishment Problem with Multicompartments and Time Window Assignment by Guangcan Xu, Maozeng Xu, Yong Wang, Yong Liu, Qiguang Lv

“…To improve the system operational efficiency and reduce costs, we formulate and solve a collaborative multidepot petrol station replenishment problem with multicompartments and time window assignment by establishing a mixed-integer linear programming model. The hybrid heuristic algorithm composed of genetic algorithm and particle swarm optimization is used as a solution, and then the Shapley value method is applied to analyze the profit allocation of each petrol depot under different coalitions. …”
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Approximate analytical solution of a class of highly nonlinear time–fractional-order partial differential equations by Richard Olu Awonusika

“…The first expansion coefficients are nicely expressed in terms of appropriate integer sequences. Notable special cases of the proposed generalised problem, that include, Newell-Whitehead, Newell–Whitehead–Segel, and Cahn–Allen equations with suitable initial conditions are considered for the purpose of accuracy and reliability of the proposed method. …”
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An urban expressway forwarding scheme for cognitive Internet of vehicles by Jing Wang, Huyin Zhang, Sheng Hao, Chuhao Fu

“…We first formulate the delay minimization problem as a non-linear integer optimization problem. Then, we propose an approach to select the relay candidates by jointly considering the high mobility of vehicles and the unique cognitive radio spectrum usage distributions in urban expressway scenarios. …”
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Optimisation of Embodied Carbon and Thermal Performance of Roof Material Selections for Australian Residential Housing by Yuqi Fu, Cynthia Changxin Wang

“…In this paper, a multi-objective, mixed-integer, non-linear mathematical programming model is adopted to perform the optimisation. …”
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Two-Stage Black-Start Optimization for Power Systems with Multi-Energy Microgrid as a Black-Start Unit by ZHU Yongqing, CHEN Changming, LI Qingsheng, LI Zhen, ZHANG Zhaofeng, LIN Zhenzhi

“…Then, a Dijkstra’s algorithm-based solution method for the first stage sub-model and a mixed integer quadratic programming-based solution method for the second stage sub-model are respectively proposed. …”
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Reinforced AdaBoost Learning for Object Detection with Local Pattern Representations by Younghyun Lee, David K. Han, Hanseok Ko

“…The weak classifier of the proposed method produces real-valued predictions while that of the conventional Adaboost method produces integer valued predictions of +1 or −1. Hence, in the conventional learning algorithms, the entire sample weights are updated by the same rate. …”
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Optimization of the Operation Plan of Airport Express Train with Consideration of Train Departure Time Window by Jin He, Yinzhen Li, Yuhong Chao, Ruhu Gao

“…A set of alternative train options is introduced to simplify the model and convert integer variables related to train pairs into 0-1 variables. …”
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Applications of Riccati–Bernoulli and Bäcklund Methods to the Kuralay-II System in Nonlinear Sciences by Khudhayr A. Rashedi, Musawa Yahya Almusawa, Hassan Almusawa, Tariq S. Alshammari, Adel Almarashi

“…To enhance the understanding of the results, the solutions are visualized using 2D representations for fractional-order variations and 3D plots for integer-type solutions, supported by detailed contour plots. …”
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Optimizing the Service Provision time in the Emergency Department Using Mathematical Modeling and Simulation (Case Study: Imam Reza Hospital) by Mahdi Yousefi Nejad Atari, Ensiyeh Neyshabouri Jami, Akbar Sattari

“…In order to evaluate the costs and nurse job satisfaction in each scenario, a nonlinear integer programming mathematical model is proposed. …”
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A Green Demand-Responsive Airport Shuttle Service Problem with Time-Varying Speeds by Ming Wei, Binbin Jing, Jian Yin, Yang Zang

“…This study proposes a multiobjective mixed integer linear programming (MOMILP) model for a demand-responsive airport shuttle service. …”
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On-line strength assessment of distribution systems with distributed energy resources by Jifeng Liang, Shiyang Rong, Tengkai Yu, Tiecheng Li, Hanzhang Qu, Ye Cao

“…To predict the strength of distribution systems under various conditions, a rectified linear unit (ReLU) neural network is trained and further reformulated as a mixed-integer linear programming (MILP) problem to verify its robustness and input stability. …”
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