A Global Optimization Algorithm for Signomial Geometric Programming Problem by Xue-Ping Hou, Pei-Ping Shen, Yong-Qiang Chen

“…The proposed algorithm is convergent to the global minimum of the (SGP) by means of the subsequent solutions of a series of relaxation linear programming problems. And finally, the numerical results are reported to vindicate the feasibility and effectiveness of the proposed method.…”
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A Novel Approach for Portfolio Optimization Using Fuzzy AHP Based on Gustafson Kessel Clustering Algorithm by Yeşim Akbaş, Türkan Erbay Dalkılıç, Serkan Akbaş

“…By using new fuzzy numbers, the weights of the criteria were obtained as TrFNs. Then, a linear programming problem was modeled using the weights of the obtained criteria as a TrFN. …”
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A Multi-Objective Approach to Portfolio Optimization Problem Using the Analytic Hierarchy Process (AHP) and Genetic Algorithm by Mohammad Moshrefi, Javad Behnamian

“…Accordingly, a novel model is designed as linear programming in order to optimize the investment portfolio, considering the expected rate of return, the minimum risk, and the buyer’s assets. …”
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Dynamic Network Design Problem under Demand Uncertainty: An Adjustable Robust Optimization Approach by Hua Sun, Ziyou Gao, Fangxia Zhao

“…In particular, a cell transmission model based network design problem of linear programming type is considered to describe dynamic traffic flows, and a polyhedral uncertainty set is used to characterize the demand uncertainty. …”
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A Hybrid Evolutionary Algorithm for Wheat Blending Problem by Xiang Li, Mohammad Reza Bonyadi, Zbigniew Michalewicz, Luigi Barone

“…After that, a hybrid of an evolutionary algorithm, a heuristic method, and a linear programming solver is used to improve the quality of the solution. …”
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Generalized Heptagonal Membership Function for Fully Fuzzy Linear Fractional Programming Problems by Israa Hadi, Iden H. Al Kanani

“…Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. …”
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Regional consensus of switched positive multi-agent systems with multiple equilibria by Junfeng Zhang, Pei Zhang, Tarek Raïssi, Bhatti Uzair Aslam

“…The regional consensus protocol is designed in the form of linear programming. By employing the proposed protocol, all states of agents are nonnegative and driven into a specific region. …”
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Combinatorial Robust Optimization with Decision-Dependent Information Discovery and Polyhedral Uncertainty by Omer, Jérémy, Poss, Michael, Rougier, Maxime

“…Given a compact linear programming formulation for the nominal problem, we provide a mixed-integer linear programming (MILP) formulation for DDID. …”
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Maximizing the lifetime of wireless sensor networks in trains for monitoring long-distance goods transportation by Huiting Xu, Xi Jin, Fanxin Kong, Qingxu Deng

“…We first formulate the problem with a realistic discrete power model as a mixed integer linear programming problem. Then, a two-step efficient deployment heuristic is proposed to satisfy these constraints step by step. …”
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Locating Routing Problem (LRP) of distribution of priority support items to ground forces in war conditions by Milad Abolghasemian, Hamid Bigdeli, Nader Shamami

“…Additionally, a mixed-integer linear programming model is proposed for routing prioritized support items. …”
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Comparison of the ellipsoid and simplex methods by Eligijus Laurinavičius, Danutė Raškinienė

“…The Klee-Minty linear programming problem is used to compare the ellipsoid and simplex methods. …”
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Optimal selection of the nutritive value by Tomas Petkus, Gintautas Dzemyda

“…The metodology includes a formal problem statement, interactive selection of parameters of the optimized function and application of the algorithms of non-linear programming. The method enables us to get the optimal values of the objective function argument with the best parameters of the function, according to the planners. …”
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Geographic based maximum lifetime routing in data aggregated wireless sensor networks with multiple base stations by TANG Wei, GUO Wei

“…Network lifetime maximization in data-aggregated wireless sensor networks with multiple base stations by using geographic routing scheme was studied.To reduce the transmission overhead and avoid routing loops,home base station set potential descendent（HBSPD） algorithm was proposed,and linear programming method was used to optimize the network lifetime.Geographic location based multiple base station tessellation（GLMBST） algorithm was presented,and subgradient method was adopted to design the distributed algorithm.Performances of the proposed algorithms were verified by simulation experiments.…”
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Optimization of fractional composition of the excipient in the elastomeric covering for asphalt highways by E.M. Nurullaev, A. S. Ermilov

“…The computational method of optimum fractional composition of a dispersible filler of polymeric composite on the basis of three-dimensionally linked elastomer is developed according to non-linear programming. The coefficient of dynamic viscosity of polymeric suspension or the initial module of a viscoelasticity of the join solidification low-molecular rubbers with the final functional groups, filled by many fractional dioxide of silicon are considered as criteria of optimization. …”
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Research and design of authenticated encryption algorithm based on AES round function by Guoqiang GAO, Zichen LI

“…The authenticated encryption algorithm guarantees the confidentiality and integrity of the information at the same time,and has extensive research and application prospects in the field of information security.With the mixed integer linear programming (MILP) method,the iterative structure with high efficiency and more active S boxes is searched.Based on this new round iterative function and the generalized Feistel structure,an authenticated encryption algorithm with the ability to resist collision attack,differential attack,linear attack and other attacks was designed and implemented,and the efficiency was twice that of AES-GCM.…”
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Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems by Kuo-Liang Yen, Kuo-Shong Wang, Yau-Tarng Juang

“…Second, the state-feedback stabilization problem is solved by using linear programming (LP). Numerical examples are given for illustration. …”
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A Branch and Bound Algorithm for the Critical Grid Coverage Problem in Wireless Sensor Networks by Maher Rebai, Matthieu Le Berre, Faicel Hnaien, Hichem Snoussi, Lyes Khoukhi

“…We verify by computational experiments that the proposed B&B algorithm is more efficient, in terms of computation time, than the integer linear programming model developed by Rebai et al. (2013), for the same problem.…”
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Collaborative task offloading and resource allocation optimization for intelligent edge devices by Xian LI, Suzhi BI, Hongru ZENG, Bin LIN, Xiaohui LIN

“…In order to deal with the increasingly scarce computing resources, a cooperative edge computing scheme was proposed, which makes full use of the idle resources among users to improve the overall data processing performance.To maximize the user utility, the target problem was formulated as an MINLP (mixed integer non-linear programming), and a learning-optimization-integrated method was proposed to jointly optimize the resource allocation and user offloading decisions.Simulation results show that the proposed scheme can produce a near-optimal solution in sub-second and effectively improve the system utility at least 85.4% compared to the considered benchmark methods.…”
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A Bilevel Multiobjective Optimisation Approach for Solving the Evacuation Location Assignment Problem by Ahmed W. A. Hammad

“…Next, the problem is linearised into a mixed-integer linear programming model and solved using an off-the-shelf solver. …”
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Positive Filtering with l1-Gain for Discrete-Time Positive Systems by Xiaoming Chen

“…Then, necessary and sufficient conditions for the existence of required filters are presented, and the obtained results are expressed as linear programming problems. Moreover, it is pointed out that the results can be easily checked by standard software. …”
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