Partial Exactness for the Penalty Function of Biconvex Programming [PDF]
Entropy, 2021 Biconvex programming (or inequality constrained biconvex optimization) is an important model in solving many engineering optimization problems in areas like machine learning and signal and information processing.
Min Jiang, Zhiqing Meng, Rui Shen
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Smoothing approximation to the lower order exact penalty function for inequality constrained optimization [PDF]
Journal of Inequalities and Applications, 2018 For inequality constrained optimization problem, we first propose a new smoothing method to the lower order exact penalty function, and then show that an approximate global solution of the original problem can be obtained by solving a global solution of ...
Shujun Lian, Nana Niu
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A penalty function method based on smoothing lower order penalty function
Journal of Computational and Applied Mathematics, 2011 The authors consider the following constrained optimization problem: \[ \min_x f(x)\text{ s.t. }g_i(x)\leq 0,\quad i= 1,2,\dots, m. \] For this problem, the authors introduce a penalty function method based on smoothing lower order penalty function. Some numerical examples are presented.
Xinsheng Xu +3 more
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A new logarithmic penalty function approach for nonlinear constrained optimization problem [PDF]
Decision Science Letters, 2019 This paper presents a new penalty function called logarithmic penalty function (LPF) and examines the convergence of the proposed LPF method. Furthermore, the LaGrange multiplier for equality constrained optimization is derived based on the first-order ...
Mansur Hassan , Adam Baharum
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Smoothing of the lower-order exact penalty function for inequality constrained optimization
Journal of Inequalities and Applications, 2016 In this paper, we propose a method to smooth the general lower-order exact penalty function for inequality constrained optimization. We prove that an approximation global solution of the original problem can be obtained by searching a global solution of ...
Shujun Lian, Yaqiong Duan
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Constrained optimization using penalty function method combined with genetic algorithm
ITM Web of Conferences, 2018 In the paper the way of adaptation of the penalty function method to the genetic algorithm is presented. In case of application of the external penalty function, the penalty term may exceed the value of the primary objective function.
Knypiński Łukasz +2 more
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A Note on a Generalized Gerber–Shiu Discounted Penalty Function for a Compound Poisson Risk Model
Mathematics, 2019 In this paper, we propose a new generalized Gerber−Shiu discounted penalty function for a compound Poisson risk model, which can be used to study the moments of the ruin time.
Jiechang Ruan +5 more
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Penalty parameter of the penalty function method [PDF]
, 2014 The penalty parameter of penalty function method is systematically analyzed and discussed. For the problem that Deb's feasibility-based rule doesnot give the detailed instruction as how to rank two solutions when they have the same constraint violation, an improved Deb's feasibility-based rule is presented, which can be seen as a reference standard ...
Si, Cheng Yong +4 more
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THE GERMAN-GEORGIAN MODEL OF PENALTY REGULATION (Comparative-Legal Analysis) [PDF]
სამართალი და მსოფლიო, 2021 The present article reviews the Penalty as an additional claim securing tool that has been adopted in private or public-legal relations and nowadays, it is characteristic to the laws of all countries belonging to the Roman-German (continental) or Anglo ...
Irakli Shamatava
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Optimizing a Time-Sensitive Supply Chain with a Power Function Penalty Cost [PDF]
Journal of Engineering, Project, and Production Management, 2023 In a cost-based supply chain delivery performance model, accurately depicting the penalty cost associated with an untimely delivery is an important component of the supply chain’s delivery performance.
Jinyu Yang, Xiaoyu Xing
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