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We investigate the use of optimization to compute bounds for extremal performance measures. This approach takes a non-parametric viewpoint that aims to alleviate the issue of model misspecification possibly encountered by conventional…

统计方法学 · 统计学 2017-11-03 Clementine Mottet , Henry Lam

This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

最优化与控制 · 数学 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

A variant of the classical knapsack problem is considered in which each item is associated with an integer weight and a qualitative level. We define a dominance relation over the feasible subsets of the given item set and show that this…

数据结构与算法 · 计算机科学 2020-02-13 Luca E. Schäfer , Tobias Dietz , Maria Barbati , José Rui Figueira , Salvatore Greco , Stefan Ruzika

The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the…

凝聚态物理 · 物理学 2009-11-07 V. I. Yukalov

Some airlines use the preferential bidding system to construct the schedules of their pilots. In this system, the pilots bid on the different activities and the schedules that lexicographically maximize the scores of the pilots according to…

最优化与控制 · 数学 2022-11-07 Nour ElHouda Tellache , Frédéric Meunier , Axel Parmentier

We consider the problem of fitting a probability density function when it is constrained to have a given number of modal intervals. We propose a dynamic programming approach to solving this problem numerically. When this number is not…

最优化与控制 · 数学 2022-07-25 Ery Arias-Castro , He Jiang

In this paper we consider a mass optimization problem in the case of scalar state function, where instead of imposing a constraint on the total mass of the competitors, we penalize the classical compliance by a convex functional defined on…

最优化与控制 · 数学 2023-04-11 Giuseppe Buttazzo , Maria Stella Gelli , Danka Lučić

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

最优化与控制 · 数学 2025-10-02 Hassaan Khalid , Bradley Sturt

The paper focuses on some versions of connected dominating set problems: basic problems and multicriteria problems. A literature survey on basic problem formulations and solving approaches is presented. The basic connected dominating set…

数据结构与算法 · 计算机科学 2020-09-22 Mark Sh. Levin

We study the tactical time slot management problem under mixed logit demand for attended home delivery in subscription settings. We propose a static mixed-integer linear programming model that integrates delivery slot assortment, price…

最优化与控制 · 数学 2025-12-15 Dorsa Abdolhamidi , Virginie Lurkin

We study the demand-robust fleet size vehicle routing problem with time windows and compatibility constraints. Unlike traditional robust optimization, which considers uncertainty in the data, demand-robust optimization considers uncertainty…

系统与控制 · 电气工程与系统科学 2024-06-13 Jordan Makansi

The minimum common string partition problem is an NP-hard combinatorial optimization problem with applications in computational biology. In this work we propose the first integer linear programming model for solving this problem. Moreover,…

人工智能 · 计算机科学 2014-05-23 Christian Blum , José A. Lozano , Pedro Pinacho Davidson

We consider an assortment optimization problem where a customer chooses a single item from a sequence of sets shown to her, while limited inventories constrain the items offered to customers over time. In the special case where all of the…

数据结构与算法 · 计算机科学 2020-07-28 Elaheh Fata , Will Ma , David Simchi-Levi

We consider training probabilistic classifiers in the case of a large number of classes. The number of classes is assumed too large to perform exact normalisation over all classes. To account for this we consider a simple approach that…

机器学习 · 统计学 2016-07-08 David Barber , Aleksandar Botev

Constrained optimization problems appear in a wide variety of challenging real-world problems, where constraints often capture the physics of the underlying system. Classic methods for solving these problems rely on iterative algorithms…

系统与控制 · 电气工程与系统科学 2023-06-13 Meiyi Li , Soheil Kolouri , Javad Mohammadi

This work deals with a class of problems under interval data uncertainty, namely interval robust-hard problems, composed of interval data min-max regret generalizations of classical NP-hard combinatorial problems modeled as 0-1 integer…

数据结构与算法 · 计算机科学 2016-12-21 Lucas Assunção , Thiago F. Noronha , Andréa Cynthia Santos , Rafael Andrade

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

数据结构与算法 · 计算机科学 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

In this work, the online printing shop scheduling problem introduced in (Lunardi et al., Mixed Integer Linear Programming and Constraint Programming Models for the Online Printing Shop Scheduling Problem, Computers & Operations Research, to…

人工智能 · 计算机科学 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Débora P. Ronconi , Holger Voos

We propose and study a novel stochastic inertial primal-dual approach to solve composite optimization problems. These latter problems arise naturally when learning with penalized regularization schemes. Our analysis provide convergence…

最优化与控制 · 数学 2015-07-06 Lorenzo Rosasco , Silvia Villa , Bang Cong Vu

This paper mainly investigates the analytic solutions for the approximation of $p$-Laplacian problem. Through an approximation mechanism, we convert the nonlinear partial differential equation with Dirichlet boundary into a sequence of…

最优化与控制 · 数学 2016-08-11 Xiaojun Lu , Xiaofen Lv