Fractal Continuum Maxwell Creep Model by Andriy Kryvko, Claudia del C. Gutiérrez-Torres, José Alfredo Jiménez-Bernal, Orlando Susarrey-Huerta, Eduardo Reyes de Luna, Didier Samayoa

“…In this work, the fractal continuum Maxwell law for the creep phenomenon is introduced. By mapping standard integer space-time into fractal continuum space-time using the well-known Balankin’s approach to variable-order fractal calculus, the fractal version of Maxwell model is developed. …”
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Deadlock Prevention Policy with Behavioral Optimality or Suboptimality Achieved by the Redundancy Identification of Constraints and the Rearrangement of Monitors by Liang Hong, YiFan Hou, JunFeng Jing, AnRong Wang, Dmitry A. Litvin

“…A deadlock detection technique, called mixed integer programming (MIP), is used to find a strict minimal siphon (SMS) in a plant model without a complete enumeration of siphons. …”
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Generation Capacity Expansion Problem Considering Different Operation Modes of Combined-Cycle Gas Turbines by Hernan Gomez-Villarreal, Miguel Canas-Carreton, Miguel Carrion

“…For doing that, the operation of CCGTs is modeled using a mixed-integer linear formulation that considers different operation modes. …”
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A Model for Vehicle Routing Problem under Returns and Emission Consideration in B2C E-Commerce Logistics by Sedat Belbağ

“…This study addressed a mixed-integer linear programming model for a vehicle routing problem under returns and emission considerations in B2C e-commerce logistics.Methodology: This study proposes a mathematical model to solve a variant of the vehicle routing problem. …”
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A multi‐level coordinated scheduling strategy for shared energy storage systems under electricity spot and ancillary service markets by Qing Dou, Xiang Gao, Yuheng Wu, Yu Chen, Rui Xie, Jialin Chen

“…Finally, a linear relaxation method is applied to transform the proposed strategy into a mixed‐integer linear programming problem for enhancing the computation efficiency. …”
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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

“…Then, we propose a convex-objective integer linear programming (ILP) model based on this concept and demonstrate its efficiency. …”
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Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method by Huiming Tang, Junrong Zhang, Lei Huang, Changbin Yan, Shengming Hu, Mutasim Adam Mohamed Ez Eldin

“…This paper presents a modified Terzaghi method that eliminates meshing, thereby reducing the method to three steps that (1) count the frequencies, (2) weigh the frequencies by the bias-compensatory factor, and (3) round the weighed frequencies to the nearest integer. Due to the elimination of the mesh, the counting object has changed to the frequency at each pole, and θ in the bias-compensatory factor is redefined as the angle between the scanline and the discontinuity at each pole. …”
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Optimal Connection of Offshore Wind Farm with Maximization of Wind Capacity to Power Systems considering Losses and Security Constraints by Leandro A. Vasconcelos, João A. Passos Filho, Leonardo W. de Oliveira, Othon F. Avila

“…The algorithm is modeled using a Mixed Integer Nonlinear Programming (MINLP), and it is evaluated in a tutorial system and three well-known other networks from literature: IEEE 14-Bus, IEEE RTS-79, and Southern Brazilian System.…”
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Duality Identities for Moduli Functions of Generalized Melvin Solutions Related to Classical Lie Algebras of Rank 4 by S. V. Bolokhov, V. D. Ivashchuk

“…The asymptotic behaviour for the polynomials at large distances is governed by some integer-valued 4×4 matrix ν connected in a certain way with the inverse Cartan matrix of the Lie algebra and (in A4 case) the matrix representing a generator of the Z2-group of symmetry of the Dynkin diagram. …”
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Optimization of distribution risk of hazardous materials in the production routing problem by Amin Farahbakhsh, Amirsaman Kheirkhah

“…Risk is a danger measurement criterion for operations related to these materials.Methodology: The problem is modeled as a mixed integer program. The risk function in the proposed model is nonlinear and depends on the load of the machine, the population risk, and the type of hazardous material. …”
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Parking Demand vs Supply: An Optimization-Based Approach at a University Campus by Navid Nadimi, Sanaz Afsharipoor, Amir Mohammadian Amiri

“…To develop the model, a survey is conducted to extract students’ preferences, regarding parking spaces assignment inside the campus area. Afterward, an integer linear programming model with the objective function of maximizing parking probability is employed, considering several related constraints. …”
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Optimal Charging Scheduling and Management with Bus-Driver-Trip Assignment considering Mealtime Windows for an Electric Bus Line by Yang Jiang, Tong He

“…Compared to a charging scheduling and management problem characterized by predetermined trip assignment, this study takes bus and driver scheduling into account, and mealtime windows must be guaranteed as one of the major labor regulations. A discretized mixed-integer linear programming (MIPL) model is developed based on a single electric bus route. …”
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Valorization of Biomass Through Anaerobic Digestion and Hydrothermal Carbonization: Integrated Process Flowsheet and Supply Chain Network Optimization by Sanja Potrč, Aleksandra Petrovič, Jafaru M. Egieya, Lidija Čuček

“…A three-layer supply chain network superstructure was hence developed to integrate the optimization of process variables with supply chain features such as transportation modes, feedstock supply, plant location, and demand location. A mixed-integer nonlinear programming model aimed at maximizing the economic performance of the system was formulated and applied to a case study of selected regions in Slovenia. …”
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Forecasting Crude Oil Consumption in China Using a Grey Prediction Model with an Optimal Fractional-Order Accumulating Operator by Huiming Duan, Guang Rong Lei, Kailiang Shao

“…Therefore, in this paper, we use a least squares estimation to study the parametric operation properties of the SIGM model, and the gamma function is used to extend the integer order accumulation sequence to the fractional-order accumulation generation sequence. …”
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On Adaptive Fractional Dynamic Sliding Mode Control of Suspension System by Ali Karami-Mollaee, Oscar Barambones

“…A comparison is made between two SQC suspension system models, the fractional order suspension system (FOSS) and the integer order suspension system (IOSS). The IOSS controller is based on dynamic sliding mode control (DSMC) and a PI procedure (DSMC-PI). …”
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Block-Graceful Designs by Dilara Erdemir, Emre Kolotoğlu

“…We also consider affine geometries and prove that for every integer d≥2 and q≥3, where q is an odd prime power or q=4, there exists a block-graceful qd,q,1−BIBD. …”
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Optimizing Train Timetable Based on Departure Time Preference of Passengers for High-Speed Rails by Zhipeng Huang, Huimin Niu, Ruhu Gao, Haoyu Fan, Chenglin Liu

“…In particular, a traveling time-space network with virtual departure arc is constructed to analyze generalized travel costs of passengers of each origin-destination (OD), and bilevel programming model is used to optimize the problem. The upper integer programming model regards the minimization of the operating cost, which is simplified to the minimum traveling time of total trains, as the goal. …”
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Optimizing Train-Set Circulation Plan in High-Speed Railway Networks Using Genetic Algorithm by Yun Wang, Yu Zhou, Xuedong Yan

“…Thus, in this paper, we address the issue of train-sets’ utilization problem with the consideration of railway transportation hubs, which consists of finding an optimal Train-set Circulation Plan (TCP) to complete trip tasks in a given Train Diagram (TD). An integer programming TCP model is established to optimize the train-set utilization scheme, aiming to obtain the one-to-one correspondence relationship among sets of train-sets, trip tasks, and maintenances. …”
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A content awareness module for predictive lossless image compression to achieve high throughput data sharing over the network storage by Asif Rajput, Jianqiang Li, Faheem Akhtar, Zahid Hussain Khand, Jason C Hung, Yan Pei, Anko Börner

“…The idea of applying integer Reversible Colour Transform to increase compression ratios in lossless image compression is a well-established and widely used practice. …”
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The Integration of Multimodal Networks: The Generalized Modal Split and Collaborative Optimization of Transportation Hubs by Yifei Cai, Jun Chen, Da Lei, Jiang Yu

“…The upper-level problem is formulated as a mixed-integer nonlinear program to achieve a modal shift from congested subnetworks to underutilized subnetworks to realize a balanced use of the entire network. …”
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