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Bilevel programming can be used to formulate many problems in the field of power systems, such as strategic bidding. However, common reformulations of bilevel problems to mixed-integer linear programs make solving such problems hard, which…

最优化与控制 · 数学 2022-07-11 Eléa Prat , Spyros Chatzivasileiadis

Instances generation is crucial for linear programming algorithms, which is necessary either to find the optimal pivot rules by training learning method or to evaluate and verify corresponding algorithms. This study proposes a general…

最优化与控制 · 数学 2022-11-22 Anqi Li , Congying Han , Tiande Guo

Fixed pickup and delivery times can strongly limit the performance of freight transportation. Against this backdrop, fleet operators can use compensation mechanisms such as monetary incentives to buy delay time from their customers, in…

系统与控制 · 电气工程与系统科学 2022-03-28 Canqi Yao , Shibo Chen , Mauro Salazar , Zaiyue Yang

In many global Optimization Problems, it is required to evaluate a global point (min or max) in large space that calculation effort is very high. In this paper is presented new approach for optimization problem with subdivision labeling…

神经与进化计算 · 计算机科学 2013-07-23 Masoumeh Vali

Unit commitment (UC) is a fundamental problem in the day-ahead electricity market, and it is critical to solve UC problems efficiently. Mathematical optimization techniques like dynamic programming, Lagrangian relaxation, and mixed-integer…

系统与控制 · 电气工程与系统科学 2022-06-10 Jingtao Qin , Yuanqi Gao , Mikhail Bragin , Nanpeng Yu

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

We introduce tensor numerical techniques for solving optimal control problems constrained by elliptic operators in $\mathbb{R}^d$, $d=2,3$, with variable coefficients, which can be represented in a low rank separable form. We construct a…

数值分析 · 数学 2021-05-28 Boris N. Khoromskij , Britta Schmitt , Volker Schulz

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

数据结构与算法 · 计算机科学 2019-12-03 Thomas Bosman , Neil Olver

Disruptions in the operational flow of rail traffic can lead to conflicts between train movements, such that a scheduled timetable can no longer be realised. This is where dispatching is applied, existing conflicts are resolved and a…

最优化与控制 · 数学 2025-02-26 Maik Schälicke , Karl Nachtigall

Operational decisions in healthcare, logistics, and public policy increasingly involve algorithms that recommend candidate solutions, such as treatment plans, delivery routes, or policy options, while leaving the final choice to human…

机器学习 · 计算机科学 2025-08-06 Michael Lingzhi Li , Shixiang Zhu

In recent advances in solving the problem of transmission network expansion planning, the use of robust optimization techniques has been put forward, as an alternative to stochastic mathematical programming methods, to make the problem…

计算工程、金融与科学 · 计算机科学 2016-09-28 Roberto Minguez , Raquel Garcia-Bertrand

The unit commitment problem (UC) is an optimization problem concerning the operation of electrical generators. Many algorithms have been proposed for the UC and in recent years a more decentralized approach, by solving the UC with…

最优化与控制 · 数学 2023-11-23 Rogier Hans Wuijts , Marjan van den Akker , Machteld van den Broek

We introduce a tree-based formulation for the minimum-cost multi-commodity flow problem that addresses large-scale instances. The method decomposes the source-based model by representing flows as convex combinations of trees rooted at…

最优化与控制 · 数学 2025-10-03 Simon Spoorendonk , Bjørn Petersen

Crew Pairing Optimization (CPO) is critical for an airlines' business viability, given that the crew operating cost is second only to the fuel cost. CPO aims at generating a set of flight sequences (crew pairings) to cover all scheduled…

最优化与控制 · 数学 2021-07-05 Divyam Aggarwal , Dhish Kumar Saxena , Saaju Pualose , Thomas Bäck , Michael Emmerich

In order to accommodate the increasing amounts of renewable generation in power distribution systems, system operators are facing the problem of how to upgrade transmission capacities. Since line and transformer upgrades are costly,…

最优化与控制 · 数学 2018-09-18 Sandro Merkli , Alexander Domahidi , Juan Jerez , Roy S. Smith

In this paper, a robust sequential quadratic programming method for constrained optimization is generalized to problem with an {expectation} objective function {and} deterministic equality and inequality constraints. A stochastic line…

最优化与控制 · 数学 2024-10-07 Songqiang Qiu , Vyacheslav Kungurtsev

Column generation is a widely used decomposition technique for large-scale linear programs, but it often suffers from slow convergence due to poor initial dual estimates and dual oscillations. Stabilization techniques such as smoothing and…

最优化与控制 · 数学 2026-05-08 Olivia Wang , Reem Khir

In this paper, we propose an effective search procedure that interleaves two steps: subproblem generation and subproblem solution. We mainly focus on the first part. It consists of a variable domain value ranking based on reduced costs.…

人工智能 · 计算机科学 2007-05-23 M. Milano , W. J. van Hoeve

In this paper, we consider a score-based Integer Programming (IP) approach for solving the Bayesian Network Structure Learning (BNSL) problem. State-of-the-art BNSL IP formulations suffer from the exponentially large number of variables and…

机器学习 · 统计学 2025-09-10 Yiran Yang , Rui Chen

Eligibility criteria (EC) are essential for clinical trial design, yet drafting them remains a time-intensive and cognitively demanding task for clinicians. Existing automated approaches often fall at two extremes either requiring highly…

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