Lattice-based provable data possession in the standard model for cloud-based smart grid data management systems by Caixue Zhou, Lihua Wang, Lingmin Wang

“…The scheme is proved unforgeable under the small integer solution hard assumption in the standard model. …”
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Enhanced AC/DC optimal power flow via nested distributed optimization for AC/VSC-MTDC hybrid power systems by Haixiao Li, Pedro P. Vergara, Robert Dimitrovski, Hongjin Du, Aleksandra Lekić

“…To address this issue, an enhanced AC/DC optimal power flow (OPF) is specifically proposed. Firstly, a mixed-integer convex AC/DC OPF model is explicitly formulated to describe the optimal operation of such hybrid power systems. …”
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Optimization of industrial symbiosis in coffee-based eco-industrial park design by N. Laili, T. Djatna, N.S. Indrasti, M. Yani

“…Subsequently, the optimization of industrial symbiosis within eco-industrial parks was realized using a mixed-integer linear programming mathematical model.FINDINGS: The eco-industrial park design presents the actors, internal business processes, material and data exchanges, various actors’ interdependence and critical roles in material exchanges, and value creation processes using valorization within the eco-industrial park. …”
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STATISTICAL SIMULATION OF RELIABILITY OF NETWORKS WITH EXPONENTIALLY DISTRIBUTED UNIT LIFETIMES by ROTARU, Maria

“…The novelty of the distribution consists in the fact that the number of subnets is random, governed by the Poisson and Logarithmic distributions, the lifetimes of the units in each subnet being independent, identically, exponentially distributed random variables, the number of units in each subnet is the same constant integer number. It was shown that the most important theoretical characteristics of lifetime for such networks, as the mean value, the variance, the survival/reliability function, my be approximated, with desired accuracy, by the same corresponding characteristics, as the sample mean value, sample variance, empirical survival/reliability function simulated by Monte-Carlo methods. …”
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Energy efficiency optimization algorithm for heterogeneous NOMA network based on imperfect CSI by Yongjun XU, Hao XIE, Qianbin CHEN, Jinzhao LIN, Qilie LIU

“…In order to improve the suppression capability of parametric perturbation and energy efficiency (EE) of heterogeneous networks (HetNets),a robust resource allocation algorithm was proposed to maximize system EE for reducing cross-tier interference power in non-orthogonal multiple access (NOMA) based HetNets.Firstly,the resource optimization problem was formulated as a mixed integer and nonlinear programming one under the constraints of the interference power of macrocell users,maximum transmit power of small cell base station (BS),resource block assignment and the quality of service (QoS) requirement of each small cell user.Then,based on ellipsoid bounded channel uncertainty models,the original problem was converted into the equivalent convex optimization problem by using the convex relaxation method,Dinkelbach method and the successive convex approximation (SCA) method.The analytical solutions were obtained by using the Lagrangian dual approach.Simulation results verifiy that the proposed algorithm had better EE and robustness by comparing it with the existing algorithm under perfect channel state information.…”
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Research on channel-fixed delay error estimation of wideband digital array radar by Xiaobei ZHANG, Quan ZHANG, Ming FANG, Kun QIN, Qi ZHANG

“…A channel-fixed delay error estimation method was proposed to tackle the performance degradation of digital beamforming caused by the channel-fixed delay error of wideband digital array radar.First, the integer part of the fixed delay of the channel was estimated through the correlation integral peak of the baseband transmitted signal and the baseband received signal containing unknown delay parameters.Then, the fractional part of the fixed delay of the channel was estimated with parabolic interpolation by using the correlation peak and its adjacent two points.Finally, the multi-channel fixed delay error was calculated and compensated.The simulation results show that the multi-channel fixed delay estimation of wideband digital array radar can be realized on Xilinx xcku115.The estimative precision can reach 0.001～0.014 times the sampling gap when the signal-to-noise ratio of the input signal is 10～30 dB.The proposed method can meet the engineering application requirements and improve the performance of digital beamforming in wideband digital array radar.…”
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An Elite Decision Making Harmony Search Algorithm for Optimization Problem by Lipu Zhang, Yinghong Xu, Yousong Liu

“…Extensive computational comparisons are carried out by employing various standard benchmark optimization problems, including continuous design variables and integer variables minimization problems from the literature. …”
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First General Zagreb Index of Generalized F-sum Graphs by H. M. Awais, Muhammad Javaid, Akbar Ali

“…In this paper, for every integer γ≥2, the FGZ index Mγ is computed for the generalized F-sums graphs which are obtained by applying the different operations of subdivision and Cartesian product. …”
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Transmitter selection and receiver placement for target parameter estimation in cooperative radar‐communications system by Liming Wang, Qian He, Huiyong Li

“…To efficiently solve this mix‐integer non‐linear programming problem approximately, a genetic algorithm (GA)‐based method is proposed. …”
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Novel node upgradation strategy for migration to elastic optical networks by Xiaodong FU, Yongcheng LI, Gangxiang SHEN

“…For migration from dense wavelength division multiplexing (DWDM) networks to elastic optical networks (EON),it is required to upgrade the traditional reconfigurable optical add-drop multiplexer (ROADM) to the new-generation ROADM that supports flexible grids.However,for a large-scale optical network,it is generally impossible to upgrade the ROADM nodes all in once; rather,they would be upgraded gradually.For this,it is critical to study different strategies for selecting the ROADM nodes to be upgraded.Also,for the interconnection between different generations of ROADM,the sub-band virtual concatenation (VCAT) technique was employed to enable an optical channel to be established via traversing different types of nodes.An integer liner programming (ILP) model and an efficient heuristic algorithm were developed to jointly select the ROADM nodes to upgraded and assign spectrum resources.Simulation studies show that the proposed strategy for the upgraded node selection is efficient to perform close to the ILP model in terms of the maximum number of FS used in the whole network.…”
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Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model by Juan J. Gude, Pablo García Bringas

“…This identification procedure gives good results in comparison with other integer- and fractional-order identification methods. …”
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New Fractional Derivative Expression of the Shifted Third-Kind Chebyshev Polynomials: Application to a Type of Nonlinear Fractional Pantograph Differential Equations by Y. H. Youssri, W. M. Abd-Elhameed, H. M. Ahmed

“…The linking coefficients are given in terms of a certain  4F31 terminating hypergeometric function. The integer derivatives of the shifted third-kind Chebyshev polynomials can be calculated using this formula after performing some reductions. …”
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Enhancing Peak Shaving through Nonlinear Incentive-Based Demand Response: A Consumer-Centric Utility Optimization Approach by Nasim Eslaminia, Habib Rajabi Mashhadi

“…Real data are utilized, and the proposed models are implemented using the mixed-integer nonlinear programming (MINLP) method. The results demonstrate the effectiveness of providing incentives to consumers during peak hours compared to other approaches, with a comparison between the linear and nonlinear models.…”
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Factorization of k-quasihyponormal operators by S. C. Arora, J. K. Thukral

“…Let A be the class of all operators T on a Hilbert space H such that R(T*kT), the range space of T*KT, is contained in R(T*k+1), for a positive integer k. It has been shown that if T ϵ A, there exists a unique operator CT on H such that (i)         T*kT=T*k+1CT ;(ii)        ‖CT‖2=inf{μ:μ≥0  and  (T*kT)(T*kT)*≤μT*k+1T*k+1} ;(iii)       N(CT)=N(T*kT) and(iv)       R(CT)⫅R(T*k+1)¯ The main objective of this paper is to characterize k-quasihyponormal; normal, and self-adjoint operators T in A in terms of CT. …”
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A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property by Ruifeng Wu, Huilai Li, Tieru Wu

“…Error estimate indicates that our operators could provide the desired precision by choosing a suitable shape-preserving parameter c and a nonnegative integer m. Numerical comparisons show that this technique provides a higher degree of accuracy. …”
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On Simple Graphs Arising from Exponential Congruences by M. Aslam Malik, M. Khalid Mahmood

“…For each pair of positive integers a and b, let G(n) denote the graph for which V={0,1,…,n−1} is the set of vertices and there is an edge between a and b if the congruence ax≡b (mod n) is solvable. …”
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Hybrid Metaheuristics for Solving a Fuzzy Single Batch-Processing Machine Scheduling Problem by S. Molla-Alizadeh-Zavardehi, R. Tavakkoli-Moghaddam, F. Hosseinzadeh Lotfi

“…In this paper, first a fuzzy mixed integer linear programming model is developed. Then, due to the complexity of the problem, which is NP-hard, we design two hybrid metaheuristics called GA-VNS and VNS-SA applying the advantages of genetic algorithm (GA), variable neighborhood search (VNS), and simulated annealing (SA) frameworks. …”
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A Weighted Multiobjective Optimization Method for Mixed-Model Assembly Line Problem by Şükran Şeker, Mesut Özgürler, Mehmet Tanyaş

“…In this paper, Multiobjective Mixed-Integer Programming (MOMIP) model is presented to optimize these two criteria simultaneously. …”
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The Existence and Structure of Rotational Systems in the Circle by Jayakumar Ramanathan

“…We then give a development of known results in the case where Fθ=d·θmod⁡1 for an integer d>1. The paper concludes with a construction of infinite rotational sets for mappings of the unit circle of degree larger than one whose lift to the universal cover is monotonic.…”
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On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations by Stéphane Malek

“…In a previous work, Malek (2012), we have given sufficient conditions under which the Borel transform of a formal solution to the above mentioned equation with respect to the perturbation parameter converges near the origin in and can be extended on a finite number of unbounded sectors with small opening and bisecting directions, say , for some integer . The proof rests on the construction of neighboring sectorial holomorphic solutions to the first mentioned equation whose differences have exponentially small bounds in the perturbation parameter (Stokes phenomenon) for which the classical Ramis-Sibuya theorem can be applied. …”
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