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We present the Stochastic alternate Linearization Method (StochaLM), a token-based method for distributed optimization. This algorithm finds the solution of a consensus optimization problem by solving a sequence of subproblems where some…

信号处理 · 电气工程与系统科学 2021-12-28 Inês Almeida , João Xavier

This paper studies the online stochastic resource allocation problem (RAP) with chance constraints. The online RAP is a 0-1 integer linear programming problem where the resource consumption coefficients are revealed column by column along…

最优化与控制 · 数学 2023-03-07 Yuwei Chen , Zengde Deng , Yinzhi Zhou , Zaiyi Chen , Yujie Chen , Haoyuan Hu

This paper presents an iteration method for solving linear particle transport problems in binary stochastic mixtures. It is based on nonlinear projection approach. The method is defined by a hierarchy of equations consisting of the…

数值分析 · 数学 2026-03-18 Dmitriy Y. Anistratov

The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Motivated by robust matrix recovery problems such as Robust Principal Component Analysis, we consider a general optimization problem of minimizing a smooth and strongly convex loss function applied to the sum of two blocks of variables,…

机器学习 · 计算机科学 2019-11-19 Dan Garber , Shoham Sabach , Atara Kaplan

In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is based on a macro-micro decomposition of the kinetic model in…

数值分析 · 数学 2025-09-09 William A. Sands , Wei Guo , Jing-Mei Qiu , Tao Xiong

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

最优化与控制 · 数学 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

In this paper, a mixed integer linear formulation for problems considering time-of-use-type constraints for uninterruptible services is presented. Our work is motivated by demand response problems in power systems, in which certain devices…

最优化与控制 · 数学 2020-10-16 Ana Batista , David Pozo , Jorge Vera

The identification of valid inequalities, such as the rounded capacity inequalities (RCIs), is a key component of cutting plane methods for the Capacitated Vehicle Routing Problem (CVRP). While a deep learning-based separation method can…

人工智能 · 计算机科学 2025-10-02 Yoonju Sim , Hyeonah Kim , Changhyun Kwon

We consider the unconstrained optimization problem whose objective function is composed of a smooth and a non-smooth conponents where the smooth component is the expectation a random function. This type of problem arises in some interesting…

最优化与控制 · 数学 2011-07-01 Qihang Lin , Xi Chen , Javier Pena

We aim to solve a structured convex optimization problem, where a nonsmooth function is composed with a linear operator. When opting for full splitting schemes, usually, primal-dual type methods are employed as they are effective and also…

最优化与控制 · 数学 2019-05-17 Radu Ioan Bot , Axel Böhm

The increase in the world's population and rising standards of living is leading to an ever-increasing number of vehicles on the roads, and with it ever-increasing difficulties in traffic management. This traffic management in transport…

数据结构与算法 · 计算机科学 2018-05-24 Stéphane Chrétien , Christophe Guyeux

Catastrophic tornadoes cause severe damage and are a threat to human wellbeing, making it critical to determine mitigation strategies to reduce their impact. One such strategy, following recent research, is to retrofit existing structures.…

最优化与控制 · 数学 2023-09-06 Mehdi Ansari , Juan S. Borrero , Andres D. Gonzalez

The resource recharging station location routing problem is a generalization of the location routing problem with sophisticated and critical resource consumption and recharging constraints. Based on a representation of discretized acyclic…

最优化与控制 · 数学 2016-02-24 Gongyuan Lu , Xuesong Zhou , Qiyuan Peng , Bisheng He , Monirehalsadat Mahmoudi , Jun Zhao

Hyperconnected relay transportation enables using a relay system of short-haul drivers to deliver long-haul shipments collectively, which helps address root causes of trucker shortage issues by transforming working conditions with…

最优化与控制 · 数学 2024-02-12 Jingze Li , Xiaoyue Liu , Mathieu Dahan , Benoit Montreuil

Platooning of vehicles is a promising approach for reducing fuel consumption, increasing vehicle safety, and using road space more efficiently. We consider the important but difficult problem of assigning optimal routes and departure…

最优化与控制 · 数学 2021-08-19 Fengqiao Luo , Jeffrey Larson

Microtransit offers opportunities to enhance urban mobility by combining the reliability of public transit and the flexibility of ride-sharing. This paper optimizes the design and operations of a deviated fixed-route microtransit system…

最优化与控制 · 数学 2025-06-12 Bernardo Martin-Iradi , Alexandria Schmid , Kayla Cummings , Alexandre Jacquillat

A general stochastic algorithm for solving mixed linear and nonlinear problems was introduced in [11]. We show in this paper how it can be used to solve the fault inverse problem, where a planar fault in elastic half-space and a slip on…

数值分析 · 数学 2021-03-19 Darko Volkov

We investigate a structural decomposition for the capacitated vehicle routing problem (CVRP) based on vehicle-to-customer "assignment" and visits "sequencing" decision variables. We show that an heuristic search focused on assignment…

最优化与控制 · 数学 2018-03-19 Túlio A. M. Toffolo , Thibaut Vidal , Tony Wauters

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

最优化与控制 · 数学 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal