Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel by J. F. Gómez-Aguilar, J. E. Escalante-Martínez, C. Calderón-Ramón, L. J. Morales-Mendoza, M. Benavidez-Cruz, M. Gonzalez-Lee

“…We present an alternative representation of integer and fractional electrical elements in the Laplace domain for modeling electrochemical systems represented by equivalent electrical circuits. …”
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Discrete Euler–Bernoulli beam lattices with beyond nearest connections by R G Edge, E Paul, K H Madine, D J Colquitt, T A Starkey, G J Chaplain

“…A generalised dispersion relation for an infinite monatomic mass-beam chain, with any integer order combination of non-local spatial connections, is presented. …”
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A Hybrid Distribution Network Model for Cost, Quality and Distribution Optimization in Perishable Goods Supply Chains by Tahjid Islam Samun, Shahed Mahmud, Maream Rahman, Md. Mehedi Hasan Ridoy

“…This research proposes an advanced SCDN architecture by developing a mixed-integer linear programming (MILP) model tailored for multi-echelon scenarios. …”
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On supergravity and noncritical strings by Andrea Dei, Pietro Ferrero, Leonardo Rastelli

“…The noncritical string can be viewed as a special case of a discrete series of backgrounds labelled by an integer k (which counts the number of NS5 branes in a certain duality frame); the “noncritical” value is k = 2, while for k → ∞ one recovers a weakly-curved 10d target space. …”
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Collaborative Optimization of Container Liner Slot Allocation and Empty Container Repositioning Within Port Clusters by Wenmin Wang, Cuijie Diao, Wenqing He, Zhihong Jin, Zaili Yang

“…A cooperative possession strategy and a hybrid (T, s) inventory control policy are incorporated in this paper. A novel mixed-integer programming model is proposed, enabling us to simultaneously track slot allocation, empty container repositioning, empty container leasing, and slot renting. …”
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Day-Ahead Two-Stage Bidding Strategy for Multi-Photovoltaic Storage Charging Stations Based on Bidding Space by Fulu Yan, Lifeng Wei, Jun Yang, Binbin Shi

“…Thirdly, the two-stage model is transformed into a single-layer, mixed-integer linear programming problem using dyadic theory and Karush–Kuhn–Tucker (KKT) conditions, enabling the derivation of the optimal bidding strategy. …”
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Data-driven modeling of the aggregator-based price-maker virtual power plant (VPP) in the day-ahead wholesale electricity markets; evidence from the Japan Electric power Exchange (... by Mohamed Saad Suliman, Hooman Farzaneh

“…Data-driven modeling is structured using mixed integer linear programming (MILP) and based on hybridizing several concepts, including conventional unit commitment, hydropower scheduling, pumping storage dispatch, market clearing mechanism, variable renewable energy forecasts, price elasticity of demand, and shadow prices of production technologies. …”
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Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators by Abdul Hamid Ganie, Fatemah Mofarreh, N. S. Alharthi, Adnan Khan

“…The authors of this study extended the theory of the integer-order Schnakenberg model to the fractional Schnakenberg model. …”
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A novel method for developing post-quantum cryptoschemes and a practical signature algorithm by Nikolay Andreevich Moldovyan, Dmitriy Nikolaevich Moldovyan

“…Findings – Additionally, a scalar multiplication by a private integer is performed as final step of calculation of every element of the public key. …”
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A Multiscale Approach for Free-Float Bike-Sharing Electronic Fence Location Planning: A Case Study of Shenzhen City by Zhonghua Wei, Houqiang Ma, Yunxuan Li

“…A multiobjective mixed-integer programming model is established to address the location planning problem of electronic fences, determining the planning positions, quantities, and areas of electronic fences. …”
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Leveraging transformer models to predict cognitive impairment: accuracy, efficiency, and interpretability by Kai Ma, Junzhi Zhang, Xinhang Huang, Mengyang Wang

“…Methods The Transformer integrates categorical (integer-encoded) and continuous (floating-point) data, using multi-head attention with four heads to capture complex relationships. …”
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Quantitative Estimating Salt Content of Saline Soil Using Laboratory Hyperspectral Data Treated by Fractional Derivative by Dong Zhang, Tashpolat Tiyip, Jianli Ding, Fei Zhang, Ilyas Nurmemet, Ardak Kelimu, Jingzhe Wang

“…Most present researches on estimation of soil salinity by hyperspectral data have focused on the spectral reflectance or their integer derivatives but ignored the fractional derivative information of hyperspectral data. …”
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Two-Echelon Multidepot Logistics Network Design with Resource Sharing by Siyu Luo, Yong Wang, Jinjun Tang, Xiangyang Guan, Maozeng Xu

“…Therefore, this study aims to model resource sharing in two-echelon delivery and pickup logistics networks to improve the overall efficiency and decrease the total network operating cost. A bi-objective integer programming model is first proposed for two-echelon collaborative multidepot pickup and delivery problems with time windows (2E-CMDPDTW) to seek the minimization of operating costs and number of vehicles. …”
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A two‐stage reactive power optimization method for distribution networks based on a hybrid model and data‐driven approach by Ghulam Abbas, Wu Zhi, Aamir Ali

“…In the first stage, based on the topology and line parameters of the DN, as well as forecasts of loads and renewable energy outputs, a mixed‐integer second‐order cone programming (MISOCP) algorithm is used to control the on‐load tap changer (OLTC) positions on an hourly day‐ahead basis. …”
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EV Smart Charging in Distribution Grids–Experimental Evaluation Using Hardware in the Loop Setup by Yunhe Yu, Lode De Herdt, Aditya Shekhar, Gautham Ram Chandra Mouli, Pavol Bauer

“…This article formulates a hierarchical mixed integer programming EV SC algorithm designed for low voltage (LV) distribution grid applications. …”
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Presenting a robust optimization model for the design of the green loop supply chain network in the power plant by taking into account the disruption in the supply chain by Javad Mohammadghasemi, Seyyed Esmaeil Najafi, Mohammad Fallah, Mohammad Reza Nabatchian

“…The aim of presenting this supply chain network is to meet customer demands for solar panels to generate clean energy.Methodology: A mixed-integer linear programming model, including facility location, supplier selection, optimal flow allocation, and determination of the optimal price of solar panels in the network, is considered. …”
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Public key cryptographic algorithm SM2 optimized implementation on low power embedded platform by Ganqin LIU, Hui LI, Hui ZHU, Yukun HUANG, Xingdong LIU

“…With the development of wireless communication technology and the popularization of intelligent terminals, more and more cryptographic algorithms are applied to IoT devices to ensure the security of communication and data.Among them, the SM2 elliptic curve public key cryptography proposed by the State Cryptography Administration is an elliptic curve public key cryptography algorithm developed domestically, which has the advantages of high security and short key.SM2 has been widely deployed in various communication systems and is used in essential parts such as identity authentication and key negotiation.However, since SM2 involves large integer operations on finite fields, the computational cost is high, and its execution on a low-power embedded platform seriously affects the user experience.Therefore, an efficient implementation scheme of SM2 algorithm for low-power embedded platform was proposed for ARM-m series processors.Specifically, Thumb-2 instruction set was adopted to handle carry and save addressing cycles, basic operations such as modulo addition and sub-traction of large integers were optimized, and the number of available registers on the platform was combined to build efficient basic operations.Besides, based on the short multiplication and accumulation instruction cycle of ARM-m series processors, the implementation of Montgomery multiplication was optimized, and an efficient modular multiplication scheme was designed in combination with the CIOS algorithm.The scheme was no longer limited to Mersenne primes, and greatly improved the speed and flexibility of modular multiplication.Based on the theoretical analysis and experimental test, the window length selection method of the multiple point-scalar multiplication wNAF sliding window method on the embedded platform was given.The experimental test results show that the proposed scheme can effectively improve the computational efficiency of the SM2 algorithm on the resource-constrained low-power embedded platform.Without pre-calculation, the test signature speed can reach 0.204s/time, the signature verification speed is 0.388s/time, the encryption speed is 0.415s/time, and the decryption speed is 0.197s/time.…”
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Optimal Lane Allocation Strategy in Toll Stations for Mixed Human-Driven and Autonomous Vehicles by Zuoyu Chai, Tanghong Ran, Min Xu

“…To fully leverage the congestion reduction potential of ETC, this paper addresses the problem of ETC lane allocation at toll stations under heterogeneous traffic flows, modeling it as a mixed-integer nonlinear bilevel programming problem (MINLBP). …”
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Assessment of energy management and power quality improvement of hydrogen based microgrid system through novel PSO-MWWO technique by Hafiz Ghulam Murtza Qamar, Xiaoqiang Guo, Ehab Seif Ghith, Mehdi Tlija, Abubakar Siddique

“…The achieved results and numerical analysis affirm the superiority of the proposed technique compared to other traditional methods like mixed integer linear programming (MILP), HOMER, Variable mesh optimization (VMO), and Cataclysmic genetic algorithm in optimizing component sizing, renewable production, hydrogen production, reliability, cost effective, and overall efficacy. …”
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Sufficient conditions for the existence of path-factors with given properties by Hui Qin, Guowei Dai, Yuan Chen, Ting Jin, Yuan Yuan

“…A spanning subgraph H of a graph G is called a [Formula: see text]-factor of G if every component of H is isomorphic to a path of order at least k, where [Formula: see text] is an integer. A graph G is called a [Formula: see text]-factor-critical graph if [Formula: see text] contains a [Formula: see text]-factor for any [Formula: see text] with [Formula: see text]. …”
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