A Pollution Sensitive Marxian Production Inventory Model with Deterioration Under Fuzzy System [0.03%]
一种模糊系统下的易逝污染敏感的马克思生产库存模型
Sujit Kumar De,Kousik Bhattacharya
Sujit Kumar De
This article deals with an economic production quantity (EPQ) model with deterioration under the effect of environmental pollution in fuzzy environment. First of all, we develop a pollution generation (PG) model with the help of existing in...
Minimizing Uniformly Convex Functions by Cubic Regularization of Newton Method [0.03%]
用牛顿法的立方正则化最小化均匀凸函数
Nikita Doikov,Yurii Nesterov
Nikita Doikov
In this paper, we study the iteration complexity of cubic regularization of Newton method for solving composite minimization problems with uniformly convex objective. We introduce the notion of second-order condition number of a certain deg...
OptiDose: Computing the Individualized Optimal Drug Dosing Regimen Using Optimal Control [0.03%]
OptiDose：利用最优控制算法计算个体化的最优药物剂量方案
Freya Bachmann,Gilbert Koch,Marc Pfister et al.
Freya Bachmann et al.
Providing the optimal dosing strategy of a drug for an individual patient is an important task in pharmaceutical sciences and daily clinical application. We developed and validated an optimal dosing algorithm (OptiDose) that computes the op...
Anton Rodomanov,Yurii Nesterov
Anton Rodomanov
We present a new theoretical analysis of local superlinear convergence of classical quasi-Newton methods from the convex Broyden class. As a result, we obtain a significant improvement in the currently known estimates of the convergence rat...
Axel Böhm,Stephen J Wright
Axel Böhm
We study minimization of a structured objective function, being the sum of a smooth function and a composition of a weakly convex function with a linear operator. Applications include image reconstruction problems with regularizers that int...
Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data [0.03%]
含不确定数据的复数分数规划的 robust 必要最优性条件
Jiawei Chen,Suliman Al-Homidan,Qamrul Hasan Ansari et al.
Jiawei Chen et al.
In this paper, we study robust necessary optimality conditions for a nondifferentiable complex fractional programming with uncertain data. A robust counterpart of uncertain complex fractional programming is introduced in the worst-case scen...
Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model [0.03%]
SIR流行病模型下的最优免疫控制和最终规模最小化的社会疏离策略
Pierre-Alexandre Bliman,Michel Duprez,Yannick Privat et al.
Pierre-Alexandre Bliman et al.
The aim of this article is to understand how to apply partial or total containment to SIR epidemic model during a given finite time interval in order to minimize the epidemic final size, that is the cumulative number of cases infected durin...
On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies [0.03%]
在生物医学治疗的隔室模型优化中目标的作用分析
Urszula Ledzewicz,Heinz Schättler
Urszula Ledzewicz
We review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We discuss various aspects of the modeling of the dynamics (such as growth and interaction terms), modeling of treat...
Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization [0.03%]
局部Lipschitz不等式约束多目标优化的二阶最优性条件
Elena Constantin
Elena Constantin
The main goal of this paper is to give some primal and dual Karush-Kuhn-Tucker second-order necessary conditions for the existence of a strict local Pareto minimum of order two for an inequality-constrained multiobjective optimization probl...
Anton Rodomanov,Yurii Nesterov
Anton Rodomanov
In this paper, we study derivatives of powers of Euclidean norm. We prove their Hölder continuity and establish explicit expressions for the corresponding constants. We show that these constants are optimal for odd derivatives and at most ...