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The facility location problem (FLP) is a classical combinatorial optimization challenge aimed at strategically laying out facilities to maximize their accessibility. In this paper, we propose a reinforcement learning method tailored to…

机器学习 · 计算机科学 2024-09-09 Hongyuan Su , Yu Zheng , Jingtao Ding , Depeng Jin , Yong Li

In this paper, we introduce a mixed integer quadratic formulation for the congested variant of the partial set covering location problem, which involves determining a subset of facility locations to open and efficiently allocating customers…

最优化与控制 · 数学 2024-01-24 Alice Calamita , Ivana Ljubić , Laura Palagi

As urban aerial mobility (UAM) infrastructure development accelerates globally, cities like Shenzhen are planning large-scale vertiport networks (e.g., 1,200+ facilities by 2026). Existing planning frameworks remain inadequate for this…

人工智能 · 计算机科学 2025-08-19 Chunliang Hua , Xiao Hu , Jiayang Sun , Zeyuan Yang

Multi-sector capacity expansion models play a crucial role in energy planning by providing decision support for policymaking in technology development. To ensure reliable support, these models require high technological, spatial, and…

最优化与控制 · 数学 2025-04-14 Federico Parolin , Yu Weng , Paolo Colbertaldo , Ruaridh Macdonald

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

最优化与控制 · 数学 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

Locally Checkable Labeling (LCL) problems are graph problems in which a solution is correct if it satisfies some given constraints in the local neighborhood of each node. Example problems in this class include maximal matching, maximal…

分布式、并行与集群计算 · 计算机科学 2022-08-22 Alkida Balliu , Sebastian Brandt , Manuela Fischer , Rustam Latypov , Yannic Maus , Dennis Olivetti , Jara Uitto

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

最优化与控制 · 数学 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

最优化与控制 · 数学 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

In real life, mostly problems are dynamic. Many algorithms have been proposed to handle the static problems, but these algorithms do not handle or poorly handle the dynamic environment problems. Although, many algorithms have been proposed…

神经与进化计算 · 计算机科学 2025-09-29 Zahid Iqbal , Waseem Shahzad

We consider a generalization of the classical planar maximum coverage location problem (PMCLP) in which partial coverage is allowed, facilities have adjustable quality of service (QoS) or service range, and demand zones and service zone of…

最优化与控制 · 数学 2020-12-17 Manish Bansal , Parshin Shojaee

Benders decomposition is one of the most applied methods to solve two-stage stochastic problems (TSSP) with a large number of scenarios. The main idea behind the Benders decomposition is to solve a large problem by replacing the values of…

最优化与控制 · 数学 2022-11-24 Cristian Ramírez-Pico , Ivana Ljubić , Eduardo Moreno

This paper presents a novel approach to solve capacitated facility location problems (FLP) that encompass various resource allocation problems. FLPs are a class of NP-hard combinatorial optimization problems, involving optimal placement and…

最优化与控制 · 数学 2025-04-03 Alisina Bayati , Dhananjay Tiwari , Srinivasa Salapaka

This paper proposes a joint decomposition method that combines La- grangian decomposition and generalized Benders decomposition, to efficiently solve multiscenario nonconvex mixed-integer nonlinear programming (MINLP) problems to global…

最优化与控制 · 数学 2018-02-22 Emmanuel Ogbe , Xiang Li

Due to increasing railway use, the capacity at railway yards and maintenance locations is becoming limiting. Therefore, the scheduling of rolling stock maintenance and the choice regarding optimal locations to perform maintenance is…

最优化与控制 · 数学 2021-03-02 Jordi Zomer , Nikola Bešinović , Mathijs M. de Weerdt , Rob M. P. Goverde

Covering problems are well-studied in the domain of Operations Research, and, more specifically, in Location Science. When the location space is a network, the most frequent assumption is to consider the candidate facility locations, the…

最优化与控制 · 数学 2023-01-18 Mercedes Pelegrín , Liding Xu

Supply chain transportation operations often account for a large proportion of product total cost to market. Such operations can be optimized by solving the Logistics Service Network Design Problem (LSNDP), wherein a logistics service…

机器人学 · 计算机科学 2020-10-01 Simon Belieres , Mike Hewitt , Nicolas Jozefowiez , Frédéric Semet

In our paper, we consider the following general problems: check feasibility, count the number of feasible solutions, find an optimal solution, and count the number of optimal solutions in $P \cap Z^n$, assuming that $P$ is a polyhedron,…

计算复杂性 · 计算机科学 2024-01-23 Dmitry Gribanov , Dmitry Malyshev , Nikolai Zolotykh

Task and motion planning under Signal Temporal Logic constraints is known to be NP-hard. A common class of approaches formulates these hybrid problems, which involve discrete task scheduling and continuous motion planning, as mixed-integer…

机器人学 · 计算机科学 2025-08-21 Jiming Ren , Xuan Lin , Roman Mineyev , Karen M. Feigh , Samuel Coogan , Ye Zhao

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

信息论 · 计算机科学 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

We address the Budgeted Maximum Coverage Problem (BMCP), which is a natural and more practical extension of the standard 0-1 knapsack problem and the set cover problem. Given m elements with nonnegative weights, n subsets of elements with…

数据结构与算法 · 计算机科学 2022-06-17 Jianrong Zhou , Jiongzhi Zheng , Kun He