Requirements-oriented spectrum sharing for OFDMA cognitive radio networks by Chi ZHANG, Bi-qing ZENG, Jin-song YANG, Xiao-hong XIE

“…Considering the satisfaction of the secondary network communication requirements,a two-stage model was proposed to address the spectrum leasing and allocation problem in OFDMA cognitive radio networks(CRN).At the first stage of the model,the secondary base station(SBS)collected channel capacity requirements of the secondary network,and rent the spectrum resource from multiple primary base stations(PBS).The trade behaviors between the PBS and the SBS were modeled with a Bertrand game,and adopted the Nash equilibrium as the pricing scheme.At the second stage,with the Nash bargaining solution(NBS),the subcarriers and power allocation problem were defined as a nonlinear programming problem,and obtained the solution by Lagrange multiplier method.Comparing with the other spectrum allocation schemes,simulation results show the proposed spectrum sharing scheme can satisfy each secondary user’s communication requirements more fairly and efficiently.…”
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Real-Time Trajectory Planning and Control for Constrained UAV Based on Differential Flatness by Dongli Wu, Hao Zhang, Yunping Liu, Weihua Fang, Yan Wang

“…A differential flat theory based on B-spline trajectory planning can replace the optimal control problem with nonlinear programming and be a good means to achieve the efficient trajectory planning of an UAV under multiple dynamic constraints. …”
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Resource management in blockchain-enabled heterogeneous edge computing system by Ping ZHANG, Shilin LI, Yiming LIU, Xiaoqi QIN, Xiaodong XU

“…In blockchain-enabled mobile edge computing (BMEC) systems,a new class of blockchain application related computation tasks was introduced to the system.Due to the differences of parallelism among computation tasks,heterogenous computing framework was introduced to suitably split various computation tasks on processors with vastly different processing power to achieve efficient task execution.Under the limited computation and communication resources,a system-wide utility maximization problem by jointly considering heterogeneous processor scheduling,computation and bandwidth resource allocation was formulated as a mixed-integer nonlinear programming problem.To solve the problem efficiently,the formulated problem was transformed into two sub-problems,namely application-driven heterogeneous processor scheduling and joint resource allocation,and a Lagrange-dual based algorithm was proposed.Simulation results show that the proposed scheme can effectively improve the system-wide utility of the BMEC system.…”
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Optimum Design of Multidischarge Outlet Biomass Briquetting Machine by Jiaqi Yang, Jirong Wang, Jun Li, Lianwen Shi, Xiangwu Dai

“…To further improve efficiency and rationally allocate power at each stage, in this paper, we established a mathematical model for the machine. We use the nonlinear programming in Matlab (2016b) to solve the minimum value of the model, making the machine work time the shortest.…”
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Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method by Chun-Mei Yu, Dang-Jun Zhao, Ye Yang

“…The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. …”
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The Nonsequential Fusion Method for Localization from Unscented Kalman Filter by Multistation Array Buoys by Gou Yanni, Wang Qi

“…Based on special features of array buoy and the research field of location and tracking of underwater target, the research combines the highly adaptive nonlinear filtering algorithm unscented Kalman filter with the nonlinear programming of multistation array buoy positioning system. …”
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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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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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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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Study on Identification Method for Parameter Uncertainty Model of Aero Engine by Jie Bai, Shuai Liu, Wei Wang

“…The identification problem is solved by calculating nonlinear programming. Considering the parameter uncertainty of the model is the critical point of this research during the optimization process. …”
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Node Selection Algorithms with Data Accuracy Guarantee in Service-Oriented Wireless Sensor Networks by Hongju Cheng, Ronglie Guo, Yuzhong Chen

“…Firstly, we have formulated this problem into an integer nonlinear programming problem to illustrate its NP-hard property. …”
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Neutrosophic Number Optimization Models and Their Application in the Practical Production Process by Angyan Tu, Jun Ye, Bing Wang

“…Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. …”
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Mobility aware edge service migration strategy by Dapeng WU, Ji LYU, Zhidu LI, Ruyan WANG

“…To address the problem of load imbalance among edge servers and quality of service degradation caused by dynamic changes of user locations in mobile edge computing networks,a mobility aware edge service migration algorithm was proposed.Firstly,the optimization problem was formulated as a mix integer nonlinear programming problem,with the goal of minimizing the perceived delay of user service request.Then,the delay optimization problem was decoupled into the edge service migration and edge node selection sub-problems based on the Lyapunov optimization approach.Thereafter,the fast edge decision algorithm was proposed to optimize the resource allocation and edge service migration under a given radio access strategy.Finally,the asynchronous optimal response algorithm was proposed to iterate out the optimal radio access strategy.Simulation results validate the proposed algorithm can reduce the perceived delay under the service migration cost constraint while comparing with other existing algorithms.…”
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Local controllability and optimal control for\newline a model of combined anticancer therapy with control delays by Jerzy Klamka, Helmut Maurer, Andrzej Swierniak

“…Our numerical approach uses dicretization and nonlinear programming methods as well as the direct optimization of switching times. …”
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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. …”
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RESEARCH ON THE OPTIMAL SYNTHESIS OF A MULTI-CONTOUR MECHANISM by Dorin Bădoiu

“…The synthesis of mechanisms is a complex field of study that includes, in addition to the knowledge necessary for the correct configuration of working mechanisms and those necessary for their analysis, knowledge from the field of nonlinear programming that involves the calculation of the extrema of an objective function, possibly subject to some constraints. …”
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Optimal Design and Analysis of Traction Steering Mechanism for Loading Transport Vehicle by Ruochao Wang, Zhikuan Yin, Zisheng Liu, Zijue Wang, Taiming Zhang, Jiantao Yao

“…A trapezoidal traction steering mechanism based on Ackerman principle is designed， and uses the sequential quadratic programming genetic algorithm in multivariate nonlinear programming to optimize the specific dimensions of the trapezoidal traction steering mechanism， the size parameters which more satisfy the Ackerman principle are obtained. …”
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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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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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Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials by Mohammad Sahabi, Allahbakhsh Yazdani Cherati

“…Consequently, the fractional optimal control problem is transformed into a nonlinear programming problem through collocation points, yielding unknown coefficients. …”
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