GPS Based Reduced-Dynamic Orbit Determination for Low Earth Orbiters with Ambiguity Fixing by Yang Yang, Xiaokui Yue, Jianping Yuan

“…Precise Point Positioning (PPP) technique is used to process the GPS observations, with carrier phase ambiguity resolution using Integer Phase Clocks (IPCs) products. A set of GRACE (Gravity Recovery And Climate Experiment) mission data is used to test and validate the RPOD performance. …”
Get full text

Dual time scale resource allocation for RAN slicing in software-defined oriented polymorphic IoV by Weijing QI, Qingyang SONG, Lei GUO

“…To effectively meet the differentiated quality of service (QoS) requirements of various vehicular applications, a dual time scale resource allocation algorithm for radio access network (RAN) slicing in software-defined polymorphic Internet of vehicles (IoV) was proposed.Considering the constraints of the minimum rate requirement of enhanced mobile broadband (eMBB) slice users, vehicle-to-vehicle (V2V) link reliability, the maximum power of nodes, the maximum number of RBs, a joint optimization problem of caching, spectrum, power allocation was formulated, with the aim of minimizing the average delay of ultra-reliable and low-latency communication (URLLC) slice users.By using the Hungarian algorithm, linear integer programming method and the double deep Q-Learning network (DDQN) algorithm, the original NP-hard problem was solved in dual time scales.The simulation results show that the proposed algorithm is superior to the traditional algorithm in ensuring the QoS requirements of different slice users and improving the spectrum utilization.…”
Get full text

Security analysis of public-key cryptosystems based on matrix action problem against quantum attack by Huawei HUANG

“…As a generalization of the discrete logarithm problem, semigroup action problem has important applications in the design of public-key cryptography.Public-key cryptosystems based on action problem of integer matrix semigroups on the direct product of commutative groups were analyzed.The matrix was regarded as the exponent of direct product elements, and this class of matrix action had the exponential rules similar to group.It was proved that if the matrix action was injective or the number of generators of the hidden subgroup was less than or equal to the square of the order of the matrix, the matrix action problem could be reduced in polynomial time to the hidden subgroup problem of the direct sum of the additive group of the matrices.And it was proved that commutative matrix action problem could also be reduced to hidden subgroup problem of the direct sum of the additive group of the matrices in polynomial time.The cryptosystems based on this class of matrix action problem cannot against quantum attacks.This conclusion has theoretical significance in the design of public-key cryptography against quantum attacks.…”
Get full text

Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs by Zhi-hao Hui, Abdul Rauf, Muhammad Mohsin Abbas, Adnan Aslam

“…Let R=Z♭1♭2♭3×Zq2 be a commutative ring, where ♭1,♭2,♭3 are distinct primes, and q is any prime integer. A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only if ab=0. …”
Get full text

Accurate 2-D AOA Estimation and Ambiguity Resolution for a Single Source under Fixed Uniform Circular Arrays by Le Zuo, Jin Pan

“…Under fixed UCAs, 2-D AOA estimation of a single source would suffer from phase ambiguity, and hence, ambiguity resolution is also addressed in the Fourier domain by integer search. Numerical examples are provided to verify the effectiveness and appealing performance of the proposed 2-D AOA estimation algorithm.…”
Get full text

Planning approach of survivable fiber-wireless broadband access network by Hongjun TAN, Yamin XIE, Yejun LIU

“…The emerging fiber-wireless（FiWi）broadband access network provides not only the new technological references for flexible broadband access anywhere and anytime,but also the research opportunities for the cost-efficient design of survivable broadband access network.The study of survivable FiWi access network planning was focused on,and an approach of survivable network planning based on wireless-rerouting protection was proposed.When any fiber link cuts,the failed optical network unit（ONU）can transfer its traffic into other normal ONUs.Solving the joint optimization problem of wireless routers placement,backup radios configuration and ONU capacity allocation was put more importance on,aiming to fully protect all traffic with the minimum deployment cost.The method of integer linear programming was employed to obtain the optimal solution for small-scale network planning.The heuristic algorithm was also proposed for the large-scale network planning.Simulation results demonstrate the effectiveness of the proposed approach in reducing network deployment cost.…”
Get full text

A Competitive Swarm Optimizer-Based Technoeconomic Optimization with Appliance Scheduling in Domestic PV-Battery Hybrid Systems by Bo Wang, Yanjing Li, Fei Yang, Xiaohua Xia

“…To solve the proposed mixed-integer nonlinear programming problem at a large scale, a competitive swarm optimizer-based numerical solver is designed and employed. …”
Get full text

Unified Assembly Condition of Evenly and Non-evenly Spaced Planet Gear by Huanzhang Xue

“…The planet gear（s） can be correctly assembled only if the assembly misalignment angle is an integer multiple of the minimum non-zero misalignment angle between the two teeth，so that a unified assembly condition formula is obtained for planet gear（s） with even or uneven distribution of all types of planetary gear mechanism. …”
Get full text

Stiffness Model of Rolling Bearing Considering Clearance and Analysis of Its Time-varying Characteristic by Runlin Chen, Qin Han, Menghao Zhang, Yanchao Zhang, Longlong Li, Yahui Cui

“…But when the number of equivalent bearing rolling elements is an integer， the time-varying characteristics of rolling bearing stiffness are the most significant. …”
Get full text

Decomposition of hypercube graphs into paths and cycles having k edges by D. Saranya, S. Jeevadoss, V. Nalini, V. Chitra

“…For an even graph G and positive integer p, q, and k, the pair (p, q) is an admissible pair if [Formula: see text]. …”
Get full text

Measuring. Monitoring. Management. Control by B.V. Chuvykin, I.A. Dolgova, G.V. Milovzorov

“…To solve the problem, the methods of the mathematical apparatus of the theory of integer functions of exponential type, the theory of wavelets or mathematical models in the time domain were used. …”

An Energy-Efficient Multisite Offloading Algorithm for Mobile Devices by Ruifang Niu, Wenfang Song, Yong Liu

“…This paper proposes an Energy-Efficient Multisite Offloading (EMSO) algorithm, which formulates the multiway partitioning problem as the 0-1 Integer Linear Programming (ILP) problem. Moreover, our proposed EMSO algorithm adopts the multi-way graph partitioning based algorithm to solve it. …”
Get full text

A Three-Step Heuristic Approach to the Electric Vehicle Path Planning Problem considering Charging by Shengping Yu, Yunfang Wang, Ruiyou Zhang, Junxiang Wang

“…In this study, we propose a graph processing method for the electric vehicle, given the energy consumption and road conditions, and establish a mixed integer planning model for the electric vehicle path planning problem. …”
Get full text

Properties and Iterative Methods for the Q-Lasso by Maryam A. Alghamdi, Mohammad Ali Alghamdi, Naseer Shahzad, Hong-Kun Xu

“…We introduce the Q-lasso which generalizes the well-known lasso of Tibshirani (1996) with Q a closed convex subset of a Euclidean m-space for some integer m≥1. This set Q can be interpreted as the set of errors within given tolerance level when linear measurements are taken to recover a signal/image via the lasso. …”
Get full text

Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation by Sheng Zhang, Feng Zhu, Bo Xu

“…In addition, we find that the dominant role of fractional order leads to new dynamic characteristics of the obtained fractional soliton and semirational solutions, mainly including a certain degree of tilt of wave crests and the variations in velocities and wave widths over time during propagation, which are not possessed by the corresponding integer-order TCGH equation. Meanwhile, this study predicts the deceleration propagation of solitons in fractional dimensional media and brings the possibility of exploring the asymmetric regulation mechanism of rogue waves from the perspective of fractional-order dominance.…”
Get full text

Estimation of Finite Population Mean in Multivariate Stratified Sampling under Cost Function Using Goal Programming by Atta Ullah, Javid Shabbir, Zawar Hussain, Bander Al-Zahrani

“…In this paper, sample allocation problem in multivariate stratified random sampling with proposed cost function is formulated in integer nonlinear multiobjective mathematical programming. …”
Get full text

Global attractivity of a higher order nonlinear difference equation with decreasing terms by Xiao Wang, Chuanxi Qian

“…In the present paper, we further study the asymptotical behavior of the following higher order nonlinear difference equation \begin{equation*} x(n+1)= ax(n)+ bf( x(n)) + cf(x(n-k)), \qquad n=0, 1, \dots \end{equation*} where $a, b $ and $c$ are constants with $0<a<1, 0\leq b<1, 0\leq c <1$ and $a+b+c=1$, $f\in C[[0, \infty), [0, \infty)] $ with $f(x)>0$ for $x>0$, and $k$ is a positive integer, which has been recently studied in: On global attractivity of a higher order difference equation and its applications [Electron. …”
Get full text

Aggregatable Subvector Commitment with Efficient Updates by Qing Xu, Chenyang Gao, Yunling Wang

“…Additionally, we employ the Karatsuba algorithm to efficiently perform large-integer multiplication, which improves the aggregation and verification of proofs. …”
Get full text

Transverse Vibrations of Clamped and Simply-Supported Circular Plates with Two Dimensional Thickness Variation by N. Bhardwaj, A.P. Gupta, K.K. Choong, C.M. Wang, Hiroshi Ohmori

“…The thickness variation in the radial direction is linear whereas in the circumferential direction the thickness varies according to cos kθ, where k is an integer. In order to verify the validity, convergence and accuracy of the results, comparison studies are made against existing results for the special case of linearly tapered thickness plates. …”
Get full text

Vehicle Routing and Scheduling of Flex-Route Transit under a Dynamic Operating Environment by Yue Zheng, Liangpeng Gao, Wenquan Li

“…First, we discuss the new operating polices after the introduction of intelligent transportation systems (ITSs), including automatic vehicle location (AVL) system, mobile data terminal (MDT), and computer-aided dispatch (CAD) system. Second, a mixed integer programming (MIP) formulation is employed to solve the offline routing problem. …”
Get full text