Insights Into Architectural Spurs in High-Performance Fractional-<italic>N</italic> Frequency Synthesizers by Michael Peter Kennedy, Xu Lu, Xu Wang

“…A fractional-N frequency synthesizer inherently exhibits spurs by virtue of the fact that its output frequency is not an integer multiple of its reference frequency. Until recently, it seemed that fractional spurs were understood and under control. …”
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Graph-to-sequence deep reinforcement learning based complex task deployment strategy in MEC by Zhuo CHEN, Mintao CAO, Zhiyuan ZHOU, Xin HUANG, Yan LI

“…With the help of mobile edge computing (MEC) and network virtualization technology, the mobile terminals can offload the computing, storage, transmission and other resource required for executing various complex applications to the edge service nodes nearby, so as to obtain more efficient service experience.For edge service providers, the optimal energy consumption decision-making problem when deploying complex tasks was comprehensively investigated.Firstly, the problem of deploying complex tasks to multiple edge service nodes was modeled as a mixed integer programming (MIP) model, and then a deep reinforcement learning (DRL) solution strategy that integrated graph to sequence was proposed.Potential dependencies between multiple subtasks through a graph-based encoder design were extracted and learned, thereby automatically discovering common patterns of task deployment based on the available resource status and utilization rate of edge service nodes, and ultimately quickly obtaining the deployment strategy with the optimal energy consumption.Compared with representative benchmark strategies in different network scales, the experimental results show that the proposed strategy is significantly superior to the benchmark strategies in terms of task deployment error ratio, total power consumption of MEC system, and algorithm solving efficiency.…”
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Discrete Particle Swarm Optimization with Scout Particles for Library Materials Acquisition by Yi-Ling Wu, Tsu-Feng Ho, Shyong Jian Shyu, Bertrand M. T. Lin

“…This paper presents an integer programming model of the studied problem by considering how to select materials in order to maximize the average preference and the budget execution rate under some practical restrictions including departmental budget, limitation of the number of materials in each category and each language. …”
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First-order planar autoregressive model by Sergiy Shklyar

“…With Yule–Walker equations, this facilitates the computation of the autocovariance function everywhere, at all integer points of the plane. In addition, all situations are described where different parameters determine the same autocovariance function of X.…”
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Emergency Resource Location and Allocation in Traffic Contingency Plan for Sports Mega-Event by Ling Shen, Jian Lu, Ling Deng, Manman Li

“…Considering the uncertainty of emergency incidents, we then construct a mixed integer linear programming model. To solve this model, the bisection method is used to import the material quantity placed in each emergency facility, and the shortest path algorithm is used to import the rescue time matrix. …”
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Model Identification of Unobservable Behavior of Discrete Event Systems Using Petri Nets by Guanghui Zhu, Ya Wang, Yajie Wang

“…Some unobservable transitions modeling the unknown system behavior are identified from the transition sequence by formulating and solving integer linear programming problems. These identified unobservable transitions together with the given partial Petri net model characterize the whole system, including observable and unobservable behavior. …”
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Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach by M. B. Almatrafi

“…The model captures a generalization of the integer derivative form by including fractional derivatives defined in the conformable sense. …”
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Hierarchical resource deployment and sharing strategy in mobile edge computing by Houhao ZHANG, Hanlin LI, Lin GAO

“…With the coming of 5G, Internet of things (IoT) has gradually become a reality.However, the function of many terminals is limited to insufficient computing resources in IoT.Mobile edge computing (MEC) is a new network paradigm, where terminals can offload the resource sensitive applications to nearby edge services with rich resources, and thus reduced the operational cost/delay and increased the quality of service (QoS).The resource deployment of MEC was studied, a scenario was considered that the Internet service provider (ISP) paid for deploying the MEC resources, and meanwhile gained revenue from leasing resources to terminals.Note that the deployment of MEC resource is a long-term strategy, while the demands from terminals are time varying.Therefore, it is critical to deploy the MEC resource properly.A hierarchical architecture built upon the 5G radio access network for MEC resource deployment and sharing was proposed, where the MEC resource could be deployed at different network levels.Based on the hierarchical network architecture, the optimal MEC resource deployment problem was formulated and solved as a mixed integer programming problem, aiming at maximizing the ISP’s revenue.And the CVX toolbox in MATLAB was used to solve the problem.Simulation results demonstrate that the proposed solution outperforms the flat resource deployment solution in terms of both the ISP’s revenue and the deployment cost.…”
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Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic by Taher S. Hassan, E. M. Elabbasy, A.E. Matouk, Rabie A. Ramadan, Alanazi T. Abdulrahman, Ismoil Odinaev

“…Here, the investigated models are the integer-order model for awareness programs and their corresponding fractional form. …”
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An Efficient Two-Objective Hybrid Local Search Algorithm for Solving the Fuel Consumption Vehicle Routing Problem by Weizhen Rao, Feng Liu, Shengbin Wang

“…The resulting fuel consumption VRP (FCVRP) becomes increasingly important yet difficult. We present a mixed integer programming model for the FCVRP, and fuel consumption is measured through the degree of road gradient. …”
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Simultaneous Optimization of Train Timetabling and Platforming Problems for High-Speed Multiline Railway Network by Qin Zhang, Xiaoning Zhu, Li Wang, Shuai Wang

“…To coordinate station resources for multiline train timetables, this study fully considered the resources of track segments, station throat areas, and platforms to design a three-part space-time (TPST) framework from a mesoscopic perspective to generate a train timetable and station track assignment simultaneously. A 0-1 integer programming model is proposed, whose objective is to minimize the total weighted train running costs. …”
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Evaluation of Power Saving and Feasibility Study of Migrations Solutions in a Virtual Router Network by V. Eramo, S. Testa, E. Miucci

“…In this paper we formulate the problem of minimizing the power consumption as a Mixed Integer Linear Programming (MILP) problem. Due to the hard complexity of the introduced MILP problem, we propose a heuristic for the migration of virtual routers among physical devices in order to turn off as many nodes as possible and save power according to the compliance with network node and link capacity constraints. …”
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Further than Descartes’ rule of signs by Gati, Yousra, Kostov, Vladimir Petrov, Tarchi, Mohamed Chaouki

“…We present a series of couples (sign pattern, pair $(\mathrm{pos},\mathrm{neg})$) depending on two integer parameters and with $\mathrm{pos}\ge 1$, $\mathrm{neg}\ge 1$, which is not realizable. …”
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Universal mapping properties of some pseudovaluation domains and related quasilocal domains by Ahmed Ayache, David E. Dobbs, Othman Echi

“…., f(M)⊆N and for each x∈N, there exists a positive integer t such that xt∈f(M)). It is known that if f:R→S is a strong local homomorphism where R is a pseudovaluation domain that is not a field and S is a valuation domain that is not a field, then f factors via a unique strong local homomorphism through the inclusion map iR from R to its canonically associated valuation overring (M:M). …”
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Unit commitment of power systems considering system inertia constraints and uncertainties by Yuxin Weng, Guangchao Geng, Quanyuan Jiang

“…Furthermore, inertia constraints suitable for mixed‐integer programming model are derived to address the nonlinearity of conventional frequency constraints. …”
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A High-Performance Lossless Compression Scheme for EEG Signals Using Wavelet Transform and Neural Network Predictors by N. Sriraam

“…The coefficients generated from the EEG signal by integer wavelet transform are used to train the neural network predictors. …”
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Joint Subchannel Pairing and Power Control for Cognitive Radio Networks with Amplify-and-Forward Relaying by Yanyan Shen, Shuqiang Wang, Zhiming Wei

“…The problem under consideration is formulated as a mixed integer programming problem. By the dual decomposition method, a joint optimal subchannel pairing and power allocation algorithm is proposed. …”
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Low-Complexity User Selection for Rate Maximization in MIMO Broadcast Channels with Downlink Beamforming by Eduardo Castañeda, Adão Silva, Ramiro Samano-Robles, Atílio Gameiro

“…Based on the derived metrics we present a mathematical model that describes the dynamics of the user selection process which renders the user selection problem into an integer linear program. Numerical results show that our approach is highly efficient to form groups of quasiorthogonal users when compared to previously proposed algorithms in the literature. …”
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A frequency domain-based loop shaping procedure for the parameter estimation of the fractional-order tilt integral derivative controller by Biresh Kumar Dakua, Bibhuti Bhusan Pati

“…This paper demonstrates a frequency domain-based loop shaping method for the parameter estimation of a fractional order tilt integral derivative (FOTID) controller for the interval integer and fractional order time-delay systems. Along with the five nonlinear constraints usually considered for the design of the fractional order proportional integral derivative (FOPID) controller, a more flat phase concept signifying an enhanced robustness of the system towards gain variations is adopted as the sixth constraint for the tuning of a six variable tunable FOTID controller. …”
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Minimum Risk Facility Location-Allocation Problem with Type-2 Fuzzy Variables by Xuejie Bai, Ying Liu

“…On the basis of formula obtained, we can convert original fuzzy FLA model into its equivalent parametric mixed integer programming form, which can be solved by conventional numerical algorithms or general-purpose software. …”
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