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We present a generic branch-and-bound algorithm for finding all the Pareto solutions of a biobjective mixed-integer linear program. The main contributions are new algorithms for obtaining dual bounds at a node, for checking node fathoming,…

最优化与控制 · 数学 2021-12-06 Nathan Adelgren , Akshay Gupte

Identifying optimal basic feasible solutions to linear programming problems is a critical task for mixed integer programming and other applications. The crossover method, which aims at deriving an optimal extreme point from a suboptimal…

最优化与控制 · 数学 2025-12-23 Dongdong Ge , Chengwenjian Wang , Zikai Xiong , Yinyu Ye

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

数据结构与算法 · 计算机科学 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

Dealing with multi-objective problems by using generation methods has some interesting advantages since it provides the decision-maker with the complete information about the set of non-dominated points (Pareto front) and a clear overview…

最优化与控制 · 数学 2022-09-09 Mariana Mesquita-Cunha , José Rui Figueira , Ana Paula Barbosa-Póvoa

Integer linear programming (ILP) models a wide range of practical combinatorial optimization problems and significantly impacts industry and management sectors. This work proposes new characterizations of ILP with the concept of boundary…

最优化与控制 · 数学 2024-03-04 Peng Lin , Shaowei Cai , Mengchuan Zou , Jinkun Lin

We settle the computational complexity of fundamental questions related to multicriteria integer linear programs, when the dimensions of the strategy space and of the outcome space are considered fixed constants. In particular we construct:…

最优化与控制 · 数学 2017-01-03 Jesús A. De Loera , Raymond Hemmecke , Matthias Köppe

In this paper, we address the stochastic reach-avoid problem for linear systems with additive stochastic uncertainty. We seek to compute the maximum probability that the states remain in a safe set over a finite time horizon and reach a…

最优化与控制 · 数学 2018-11-12 Hossein Sartipizadeh , Abraham P. Vinod , Behcet Acikmese , Meeko Oishi

In bike sharing systems the quality of the service to the users strongly depends on the strategy adopted to reposition the bikes. The bike repositioning problem is in general very complex as it involves different interrelated decisions: the…

最优化与控制 · 数学 2024-06-17 E. Angelelli , A. Mor , M. G. Speranza

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

最优化与控制 · 数学 2025-04-08 Samir Elhedhli , Göksu Ece Okur

In disaster response or surveillance operations, quickly identifying areas needing urgent attention is critical, but deploying response teams to every location is inefficient or often impossible. Effective performance in this domain…

机器人学 · 计算机科学 2025-07-09 Abhish Khanal , Joseph Prince Mathew , Cameron Nowzari , Gregory J. Stein

The accelerating uptake of battery-electric vehicles demands infrastructure planning tools that are both data-rich and geographically scalable. Whereas most prior studies optimise charging locations for single cities, state-wide and…

机器学习 · 计算机科学 2025-06-19 Chuan Li , Shunyu Zhao , Vincent Gauthier , Hassine Moungla

Achieving high distribution-reliability levels and concurrently minimizing operating costs can be considered as the main issues in distribution system optimization. Determination of the optimal number and location of automation devices in…

系统与控制 · 电气工程与系统科学 2025-07-28 Selma Cheshmeh Khavar , Arya Abdollahi

We propose a fast approximate solver for the combinatorial problem known as tracking-by-assignment, which we apply to cell tracking. The latter plays a key role in discovery in many life sciences, especially in cell and developmental…

计算机视觉与模式识别 · 计算机科学 2020-04-15 Stefan Haller , Mangal Prakash , Lisa Hutschenreiter , Tobias Pietzsch , Carsten Rother , Florian Jug , Paul Swoboda , Bogdan Savchynskyy

The ultimate goal of ridesharing systems is to matchtravelers who do not have a vehicle with those travelers whowant to share their vehicle. A good match can be found amongthose who have similar itineraries and time schedules. In thisway…

最优化与控制 · 数学 2020-12-10 Hamed Javidi , Dan Simon , Ling Zhu , Yan Wang

This paper proposes a novel distributed optimization framework that addresses time-varying optimization problems without requiring explicit derivative information of the objective functions. Traditional distributed methods often rely on…

最优化与控制 · 数学 2025-09-29 Xuebin Li , Xuefei Yang , Emilia Fridman , Mamadou Diagne , Jiebao Sun

The transition from conventional mobility to electromobility largely depends on charging infrastructure availability and optimal placement.This paper examines the optimal placement of charging stations in urban areas. We maximise the…

机器学习 · 计算机科学 2022-06-14 Leonie von Wahl , Nicolas Tempelmeier , Ashutosh Sao , Elena Demidova

In a single facility location problem, a set of points is given and the goal is finding the optimal location of new facility respect to given criteria such as minimizing time, cost and distances between the clients and facilities. On the…

最优化与控制 · 数学 2023-03-01 Jafar Fathali

In confirmatory clinical trials with small sample sizes, hypothesis tests based on asymptotic distributions are often not valid and exact non-parametric procedures are applied instead. However, the latter are based on discrete test…

统计方法学 · 统计学 2018-02-22 Robin Ristl , Dong Xi , Ekkehard Glimm , Martin Posch

Solutions to multi-objective optimization problems can generally not be compared or ordered, due to the lack of orderability of the single objectives. Furthermore, decision-makers are often made to believe that scaled objectives can be…

最优化与控制 · 数学 2022-05-31 Sebastian Hönel , Welf Löwe

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

最优化与控制 · 数学 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt