Integrated Berth Allocation and Time-Variant Quay Crane Scheduling with Tidal Impact in Approach Channel by Xiaogang Jiao, Feifeng Zheng, Ming Liu, Yinfeng Xu

“…We mainly consider the impact of tides on the transport capacity of an approach channel that connects quay and anchorage. An integer linear programming model is developed, and then three heuristic algorithms, Genetic Algorithm, Hybrid Particle Swarm Optimization, and Hybrid Simulated Annealing, are proposed to solve the model. …”
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Two-Stage Robust Optimization Model for Uncertainty Investment Portfolio Problems by Dongqing Luan, Chuming Wang, Zhong Wu, Zhijie Xia

“…This paper conducts research on investment portfolios and constructs a two-stage mixed integer programming (TS-MIP) model, which comprehensively considers the five dimensions of profit, diversity, skewness, information entropy, and conditional value at risk. …”
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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…The terms of the series are determined sequentially with explicit formula, where only integer derivatives have to be computed. The efficiency of the new algorithm is illustrated through several examples. …”
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On subsets of asymptotic bases by Xu, Ji-Zhen, Chen, Yong-Gao

“…Let $h\ge 2$ be an integer. In this paper, we prove that if $A$ is an asymptotic basis of order $h$ and $B$ is a nonempty subset of $A$, then either there exists a finite subset $F$ of $A$ such that $F\cup B$ is an asymptotic basis of order $h$, or for any $\varepsilon >0$, there exists a finite subset $F_\varepsilon $ of $A$ such that $d_L(h(F_\varepsilon \cup B))\ge hd_L(B)-\varepsilon $, where $d_L(X)$ denotes the lower asymptotic density of $X$ and $hX$ denotes the set of all $x_1+\cdots +x_h$ with $x_i\in X$ $(1\le i\le h)$. …”
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Chover-Type Laws of the Iterated Logarithm for Kesten-Spitzer Random Walks in Random Sceneries Belonging to the Domain of Stable Attraction by Wensheng Wang, Anwei Zhu

“…Denote by Kn=∑k=0nσ(⌊Sk⌋)  (n≥0) Kesten-Spitzer random walk in random scenery, where ⌊a⌋ means the unique integer satisfying ⌊a⌋≤a<⌊a⌋+1. It is assumed that σ’s belong to the domain of attraction of a stable law with index 0<β<2. …”
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Spectral tau technique via Lucas polynomials for the time-fractional diffusion equation by Waleed Mohamed Abd-Elhameed, Abdullah F. Abu Sunayh, Mohammed H. Alharbi, Ahmed Gamal Atta

“…The discretization of the technique is based on several formulas about Lucas polynomials, such as those for explicit integer and fractional derivatives, products, and certain definite integrals of these polynomials. …”
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Application of Nonlinear Time-Fractional Partial Differential Equations to Image Processing via Hybrid Laplace Transform Method by B. A. Jacobs, C. Harley

“…Due to the fractional-order derivative we are only able to compare the accuracy of this method with Mathematica’s NDSolve in the case of integer derivatives; however, a detailed discussion of the merits and shortcomings of the proposed hybridization is presented. …”
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Optimizing the Service Network Design Problem for Railroad Intermodal Transportation of Hazardous Materials by Lixia Huang, Jun Zhao

“…Based on a unified method, we build a multiobjective mixed-integer linear-programming model that comprehensively considers both hazardous and ordinary materials, the compatibility of goods and services, the capacity of the transfer station, and the delivery time limit of each shipment. …”
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Torus quotient of the Grassmannian $G_{n,2n}$ by Nayek, Arpita, Saha, Pinakinath

“…By [10, Theorem 3.10, p. 764], $2$ is the minimal integer $k$ such that $\mathcal{O}(k)$ descends to the GIT quotient. …”
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Adaptive Multilevel Collaborative Passenger Flow Control in Peak Hours for a Subway Line by Hongjiao Xue, Limin Jia, Jianyuan Guo

“…To ensure travel safety, improve travel efficiency, and ameliorate waiting environments for passengers, this paper proposes an adaptive multilevel collaborative passenger flow control strategy integrating the control of station entrance and station hall. An integer linear programming model is constructed, which aims at minimizing the total passenger waiting time and taking the safe capacity of each key area of all stations as the necessary constraints. …”
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Novel Feature Selection Method for Nonlinear Support Vector Regression by Kejia Xu, Ying Xu, Yafen Ye, Weijie Chen

“…FS-NSVR is a challenging mixed-integer programming problem that is solved efficiently by using an alternate iterative greedy algorithm. …”
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Security analysis of weighted network anonymity based on singular value decomposition by Yong ZENG, Lingjie ZHOU, Zhongyuan JIANG, Zhihong LIU, Jianfeng MA

“…The security of anonymous method based on singular value decomposition (SVD) in the privacy preserving of weighted social network was analyzed.The reconstruction method in network with integer weights and the inexact reconstruction method in network with arbitrary weighted were proposed.The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <mfrac> <mi>ε</mi> <mi>N</mi> </mfrac> </math></inline-formula> -tolerance was definited to measure its safety.It was also pointed out that the upper bound of ε (the reconfigurable coefficient) obtained in current spectral theories was so conservative that lacks of guidance.The reconfigurable coefficients of random networks,Barabasi-Albert networks,small world networks and real networks were calculated by experiment.Moreover,the reconfigurable coefficients of double perturbation strategies based on SVD were also tested.Experimental results show that weighted social networks have different tolerances on spectrum loss,and there is a close relationship between its tolerance and network parameters.…”
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Uncertain edge coalition game based EIP revenue estimation strategy by ZHAO Shuxu, XIA Xinyu, WANG Xiaolong

“…Firstly, a resource scheduling model was constructed using a mixed integer linear programming method to maximize the revenue of the edge coalition. …”
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EDWF-MTTF-based heuristic scheduling algorithm in time-sensitive networks by Chuanhuang LI, Junhu LIAO, Jiadong XUAN, Qi XU, Huifeng ZHANG, Jun ZHU, Tao ZOU, Ruyun ZHANG

“…With the rapid integration and development of industrial control and information networks, time-sensitive networks based on ethernet have received widespread attention.In these networks, time-triggered communication scheduling is adopted to ensure the determinacy of data transmission.However, existing scheduling algorithms have struggled to rapidly calculate the scheduling tables for large-scale periodic traffic.Therefore, a heuristic scheduling algorithm based on the earliest deadline with weight first-maximum transfer time first was designed.This algorithm, by flexibly adapting traffic sorting weights and enhancing backtracking methods, could resolve the scheduling issues of large-scale traffic in industrial automation scenarios in a relatively short time.Experimental results show that compared to the classic integer linear programming method, the earliest deadline with weight first-maximum transfer time first heuristic scheduling algorithm is able to calculate a more optimal solution for the scheduling table of large-scale periodic traffic more swiftly.…”
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Developing a Model for the University Course Timetabling Problem: A Case Study by Mozhgan Mokhtari, Majid Vaziri Sarashk, Milad Asadpour, Nadia Saeidi, Omid Boyer

“…In this research, a multiobjective mixed-integer programming model was developed to provide a timetable for the postgraduate courses at the Industrial Engineering Department of Islamic Azad University, Najafabad Branch (IAUN). …”
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Energy efficiency optimization algorithm of heterogeneous networks based on hybrid energy supply and energy cooperation by Yang CAO, Ye ZHONG, Chunling PENG, Xiaofeng PENG

“…To reduce the base station energy consumption and co-channel interference in heterogeneous cellular networks, a joint optimization algorithm combined with energy harvesting and energy cooperation was proposed with the objective of energy efficiency optimization.First, a mixed-integer nonlinear programming problem for joint resource allocation was constructed considering the constraints of user service quality, the constraints of cellular base station power, and the constraints of renewable energy harvesting.Second, considering that the problem was an NP-hard problem which was difficult to solve directly, the complex original problem was decomposed into three subproblems, such as user association, power allocation, and energy cooperation, with the fixed-variable method, which were solved by using the Lagrangian pairwise method, particle swarm optimization algorithm, and matching theory, respectively.Finally, the final solution of the original problem was obtained by combining the above three algorithms through convergent iterative algorithms.The simulation results show that the proposed algorithm has improved convergence and system energy efficiency compared with the comparison algorithm.…”
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Joint task offloading and trajectory optimization for multi-UAV assisted mobile edge computing by Jiequ JI, Kun ZHU, Changyan YI, Ran WANG

“…An unmanned aerial vehicle (UAV)-assisted mobile edge computing system was proposed in which multiple UAVs equipped with computing resources were employed to provide computation offloading opportunities for mobile users with limited local resources.The computing tasks of each user can be divided into two parts.One portion was offloaded to its associated UAV for computing and the remaining portion was processed locally.It was aimed at minimizing the sum of the maximum delay among all user devices by jointly optimizing the user scheduling and the UAV trajectory in a finite period.The proposed problem was a mixed-integer non-convex optimization problem.To facilitate solving this problem, it was equivalently converted into a more tractable problem by introducing some auxiliary variables, and then a penalty concave-convex procedure algorithm was proposed to solve the converted problem.Simulation results show that the proposed joint optimization scheme achieves significantly better performance than other benchmark schemes.…”
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Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems by Bo Li, Xiaobing Zhou, Yun Wang

“…There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. …”
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Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry by Bo Xu, Yufeng Zhang, Sheng Zhang

“…It is shown that the obtained first- and second-order fractional rogue wave solutions are steeper than those of the corresponding NLS equation with integer-order derivatives. Besides, the time the second-order fractional rogue wave solution undergoes from the beginning to the end is also short. …”
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Analytical Investigation of Noyes–Field Model for Time-Fractional Belousov–Zhabotinsky Reaction by Mohammed Kbiri Alaoui, Rabia Fayyaz, Adnan Khan, Rasool Shah, Mohammed S. Abdo

“…Also, the fractional-order and integer-order solutions are compared with the help of graphs which are easy to understand. …”
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