Hydro-wind-solar Complementary Operation Rules Considering System Reliability and Extreme Failure by JING Han, CHEN Xiang, MENG Hongwen, LIU Benxi

“…The uncertainty of renewable energy output and the vulnerability under extreme weather conditions have become more and more prominent in the safety of power grid operation.The study proposes a long-term complementary operation rule generation method for hydro-wind-solar power that considers both the guaranteed rate of power generation and the extreme failure.Considering the joint output guarantee rate and the extreme failure of the hydro-wind-solar system,the method takes the maximum power generation as the goal.It uses the mixed-integer nonlinear program to carry out long-term sequence simulation joint operation of hydropower,wind power,and solar power.On this basis,the grey relation analysis is applied to screen the input factors.With the output of each hydropower station as that of the network,the BP neural network is adopted to generate the hydro-wind-solar complementary operation rules.Finally,the validity of the proposed model is verified through case analysis.The superiority of the proposed model is further demonstrated through the simulation analysis of scenarios related to different wind and solar installed capacities and extreme failure.…”
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Distance-Based Fractional Dimension of Certain Wheel Networks by Hassan Zafar, Muhammad Javaid, Mamo Abebe Ashebo

“…The metric dimension has a wide range of applications in the field of computer science such as integer programming, radar tracking, pattern recognition, robot navigation, and image processing. …”
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Studying the 3d Ising surface CFTs on the fuzzy sphere by Zheng Zhou, Yijian Zou

“…We obtain the operator spectra through state-operator correspondence. We observe integer spacing of the conformal multiplets, and thus provide direct evidence of conformal symmetry. …”
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Existence of nodal solutions of nonlinear Lidstone boundary value problems by Meng Yan, Tingting Zhang

“…~~(P) \end{align} $\end{document} where $ \lambda > 0 $ is a parameter, $ c $ is a constant, $ m\geq1 $ is an integer, $ a :[0, r]\rightarrow [0, \infty) $ is continuous with $ a\not\equiv0 $ on the subinterval within $ [0, r] $, and $ f: \mathbb{R}\rightarrow \mathbb{R} $ is a continuous function. …”
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Multi-access edge computing offloading in maritime monitoring sensor networks by Xin SU, Ziyi WANG, Yupeng WANG, Siyuan ZHOU

“…Multi-access edge computing can effectively guarantee the low-latency, high-reliability data transmission of ocean monitoring sensor networks and various related maritime applications.In the offshore scenario, two offloading models of multi-user single-hop unicast and multi-user multi-hop unicast were established in combination with the distribution of edge computing resources.The mixed integer nonlinear programming was used to separate optimization targets and effectively allocate transmission power.The unloading decisions were made by improving the traditional artificial fish swarms algorithm.The results show that the proposed optimization algorithm can reduce the network delay by nearly 19% compared with the traditional scheme.In the far-sea scenario, a multi-user single-hop unicast offloading model was established, and a reasonable channel allocation algorithm was proposed based on the network connection probability.The results show that when the network connection time is sufficient, the number of allowable sub-channels can be increased to reduce the network delay.When the network connection time is limited, the number of unloaded marine user equipment can be controlled to ensure the network transmission delay.…”
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Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance by Bingwu Zhang, Xiucui Guan, Chunyuan He, Shuguo Wang

“…The SPIUH problem on arborescent network is formulated as a 0-1 integer programming model. Some strongly polynomial time algorithms are designed for the problems on some special arborescent networks. …”
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Confusion Analysis and Detection for Workflow Nets by Xiao-liang Chen, Zhong-yuan Jiang, Jian-hong Ye

“…Second, a detection approach based on the characteristics of confusion subnets and the integer linear programming (ILP) is developed, which is not required to compute the reachability graph of a WF-net. …”
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Optimal Design of Cordon Sanitaire for Regular Epidemic Control by Hongzhi Lin

“…A bilevel programming model is formulated where the lower-level is the transport system equilibrium with queueing to predict traffic inflow, and the upper-level is queueing network optimization, which is an integer nonlinear programming. The objective of this optimization is to minimize the total operation cost of checkpoints with a predetermined maximum waiting time. …”
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Joint optimization strategy of service cache and resource allocation in mobile edge network by Long LONG, Zichen LIU, Zaiwang LU, Yucheng ZHANG, Lei LI

“…Aiming at the problem that computing and storage resources of edge node in a mobile edge computing (MEC) system were limited, and excessive task offloading would cause the mismatch between the computing capacity and the load capacity of the edge server, resulting in the increase of task processing delay, the joint optimization of task offloading and storage resources under the three-layer network architecture composed of multi-user, edge server and cloud server was studied to reduce the overall system delay.For the problem was a mixed integer nonlinear problem, a joint optimization strategy of service caching and resource allocation was proposed.First, the continuous and discrete variables of the original problem were decoupled into two sub-problems, namely, the service cache decision problem and the joint optimization problem of computing resources and communication resources.Then, the linear reconstruction, relaxation method and convex optimization method were used to alternately optimize the two sub-problems to obtain the near-optimal solution.Simulation results demonstrate that the proposed strategy can obtain a near-optimal performance with low complexity, and can reduce up to 10% of the task duration compared with other strategies.…”
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A Dynamic Scheduling Method of Earth-Observing Satellites by Employing Rolling Horizon Strategy by Qiu Dishan, He Chuan, Liu Jin, Ma Manhao

“…Focused on the dynamic scheduling problem for earth-observing satellites (EOS), an integer programming model is constructed after analyzing the main constraints. …”
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Optimizing Medical Enterprise’s Operations Management considering Corporate Social Responsibility under Industry 5.0 by Qian Zhang, Yuming Chen, Wanlong Lin, Yao Chen

“…Therefore, this paper studies the optimization of medical enterprise’s operations management considering enterprise CSR under Industry 5.0. A mixed-integer programming (MIP) model is developed to maximize the CSR with the consideration of the impact of precision medical technologies such as surgical robots (SRs) and 3D bone printing on employee social welfare, corporate profits, social environment, and customer surplus value. …”
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A Multiroute Signal Control Model considering Coordination Rate of Green Bandwidth by Jiao Yao, Qingyun Tang, Pincheng Wang

“…Moreover, with the analysis of the mapping characteristics of the phase coordination rate, the concept of the coordination rate of green wave bandwidth was proposed, with which as the objective function, a multiroute signal coordination control model was established, and this model is a mixed integer linear programming problem with the overall optimal coordination rate of inbound, outbound, and turning movement as the objective. …”
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$${\mathbb{Z}}/2$$ Z / 2 topological invariants and the half quantized Hall effect by Bo Fu, Shun-Qing Shen

“…Abstract The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter characterized by a fractional quantum Hall conductance, precisely half of an integer ν multiple of e 2/h. Here we demonstrate the existence of a $${\mathbb{Z}}/2$$ Z / 2 topological invariant that sets the half-quantized Hall phase apart from two-dimensional ordinary metallic ferromagnets. …”
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Optimal Method for Allocation of Tractors and Trailers in Daily Dispatches of Road Drops and Pull Transport by Hao Chen, Wenxian Wang, Birong Cheng, Min Zhou

“…Focusing on this mixed integer nonlinear problem, an improved ant search algorithm is designed. …”
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Fundamental solution of the time-space bi-fractional diffusion equation with a kinetic source term for anomalous transport by Anis Allagui, Georgii Paradezhenko, Anastasiia Pervishko, Dmitry Yudin, Hachemi Benaoum

“…The equation is a generalization of the integer-order model $${\partial _{{t}} {\rho (x,t)}} = {\partial ^2_{{x}} {\rho (x,t)}} - { \rho (x,t)}$$ ∂ t ρ ( x , t ) = ∂ x 2 ρ ( x , t ) - ρ ( x , t ) (also known as the Debye–Falkenhagen equation) by replacing the first-order time derivative with the Caputo fractional derivative of order $$0<\alpha < 1$$ 0 < α < 1 , and the second-order space derivative with the Riesz-Feller fractional derivative of order $$0< \beta <2$$ 0 < β < 2 . …”
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Resource Assignment Algorithms for Autonomous Mobile Robots with Task Offloading by Giuseppe Baruffa, Luca Rugini

“…This minimization is a nonlinear integer programming problem, with high complexity. …”
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Utility-Oriented Placement of Actuator Nodes with a Collaborative Serving Scheme for Facilitated Business and Working Environments by Chi-Un Lei, Woon Kian Chong, Ka Lok Man

“…The problem has been converted into a binary integer linear programming optimization problem. Service fading, 3D placements, multiscenario placements, and fault-tolerant placements have been modeled in the framework. …”
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Dynamics and Complexity Analysis of Fractional-Order Chaotic Systems with Line Equilibrium Based on Adomian Decomposition by Heng Chen, Tengfei Lei, Su Lu, WenPeng Dai, Lijun Qiu, Lin Zhong

“…At the same time, through the Lyapunov exponent spectrum and bifurcation graph of the system under the change of the initial value, the influence of fractional order q on the system state can be observed. That is, integer-order systems do not have the phenomenon of attractors coexistence, while fractional-order systems have it.…”
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A Note on Generalized <i>k</i>-Order F&L Hybrinomials by Süleyman Aydınyüz, Gül Karadeniz Gözeri

“…In this study, we introduce generalized <i>k</i>-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of <i>k</i>-order Pell polynomials, <i>k</i>-order Jacobsthal polynomials and <i>k</i>-order Jacobsthal F&L numbers. …”
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Spectrum allocation algorithm based on multi-agent reinforcement learning in smart grid by Feng YAN, Xiaowei LIN, Zhenghao LI, Xia XU, Weiwei XIA, Lianfeng SHEN

“…In view of the fact that 5G networks are used to meet the service requirements of various power terminals in smart grid, a spectrum allocation algorithm based on multi-agent reinforcement learning was proposed.Firstly, for the integrated access backhaul system deployed in smart grid, considering the different communication requirements of services in lightweight and non-lightweight terminal, the spectrum allocation problem was formulated as a non-convex mixed-integer programming aiming to maximize the overall energy efficiency.Secondly, the above problem was modeled as a partially observable Markov decision process and transformed into a fully cooperative multi-agent problem, then a spectrum allocation algorithm was proposed which was based on multi-agent proximal policy optimization under the framework of centralized training and distributed execution.Finally, the performance of the proposed algorithm was verified by simulation.The results show that the proposed algorithm has a faster convergence speed and can increase the overall transmission rate by 25.2% through effectively reducing intra-layer and inter-layer interference and balancing the access and backhaul link rates.…”
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