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In the paper, we consider the competitive facility location problem with limited choice rule (CFLPLCR), which attempts to open a subset of facilities to maximize the net profit of a newcomer company, requiring customers to patronize only a…

Optimization and Control · Mathematics 2024-06-11 Wei-Kun Chen , Wei-Yang Zhang , Yan-Ru Wang , Shahin Gelareh , Yu-Hong Dai

This paper considers a general class of iterative optimization algorithms, referred to as linear-optimization-based convex programming (LCP) methods, for solving large-scale convex programming (CP) problems. The LCP methods, covering the…

Optimization and Control · Mathematics 2014-06-30 Guanghui Lan

The Continuous p-Dispersion Problem (CpDP) with boundary constraints asks for the placement of a fixed number of points in a compact subset of Euclidean space such that the minimum distance between any two points, as well as the points and…

Optimization and Control · Mathematics 2026-03-02 Sanjay Manoj , Melkior Ornik

The virtual machine consolidation problem (VMCP) attempts to determine which servers to be activated, how to allocate virtual machines (VMs) to the activated servers, and how to migrate VMs among servers such that the summation of…

Data Structures and Algorithms · Computer Science 2022-12-26 Jiang-Yao Luo , Liang Chen , Wei-Kun Chen , Jian-Hua Yuan , Yu-Hong Dai

Due to the limited connectivity of gate model quantum devices, logical quantum circuits must be compiled to target hardware before they can be executed. Often, this process involves the insertion of SWAP gates into the logical circuit,…

Quantum Physics · Physics 2023-06-16 Kyle E. C. Booth

In the development of industrial digital twins, the optimization problem of technological and business processes often arises. In many cases, this problem can be reduced to a large-scale linear programming (LP) problem. The article is…

Optimization and Control · Mathematics 2021-02-16 Leonid B. Sokolinsky , Irina M. Sokolinskaya

The Iterative Closest Point (ICP) algorithm is a crucial component of LiDAR-based SLAM algorithms. However, its performance can be negatively affected in unstructured environments that lack features and geometric structures, leading to low…

Robotics · Computer Science 2025-06-03 Haosong Yue , Qingyuan Xu , Fei Chen , Jia Pan , Weihai Chen

The Storage Location Assignment Problem (SLAP) and the Picker Routing Problem (PRP) have received significant attention in the literature due to their pivotal role in the performance of the Order Picking (OP) activity, the most…

Discrete Mathematics · Computer Science 2024-07-19 Thibault Prunet , Nabil Absi , Diego Cattaruzza

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

Data Structures and Algorithms · Computer Science 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

Constraint Programming (CP) is a declarative programming paradigm that allows for modeling and solving combinatorial optimization problems, such as the Job-Shop Scheduling Problem (JSSP). While CP solvers manage to find optimal or…

Artificial Intelligence · Computer Science 2023-06-12 Pierre Tassel , Martin Gebser , Konstantin Schekotihin

In this paper, a non-linear p-robust hub location problem is extended to a risky environment where augmented chance constraint with a min-max regret form is employed to consider network risk as one of the objectives. The model considers…

Optimization and Control · Mathematics 2017-02-02 Saeid Abbasi Parizi , Mahdi Bashiri , Andrew Eberhard

We introduce a novel method for clustering using a semidefinite programming (SDP) relaxation of the Max k-Cut problem. The approach is based on a new methodology for rounding the solution of an SDP relaxation using iterated linear…

Optimization and Control · Mathematics 2022-07-07 Pedro Felzenszwalb , Caroline Klivans , Alice Paul

Query workloads and database schemas in OLAP applications are becoming increasingly complex. Moreover, the queries and the schemas have to continually \textit{evolve} to address business requirements. During such repetitive transitions, the…

Databases · Computer Science 2015-03-19 Hideaki Kimura , Carleton Coffrin , Alexander Rasin , Stanley B. Zdonik

Point cloud registration is a key problem for computer vision applied to robotics, medical imaging, and other applications. This problem involves finding a rigid transformation from one point cloud into another so that they align. Iterative…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Yue Wang , Justin M. Solomon

This work deals with the probabilistic p-center problem, which aims at minimizing the expected maximum distance between any site with demand and its center, considering that each site has demand with a specific probability. The problem is…

Optimization and Control · Mathematics 2024-03-13 Luisa I. Martínez-Merino , Maria Albareda-Sambola , Antonio M. Rodríguez-Chía

In many real-world optimization problems, more than one objective plays a role and input parameters are subject to uncertainty. In this paper, motivated by applications in disaster relief and public facility location, we model and solve a…

Optimization and Control · Mathematics 2020-04-24 Sophie N. Parragh , Fabien Tricoire , Walter Gutjahr

In this paper, we consider the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network resources to meet diverse…

Networking and Internet Architecture · Computer Science 2021-02-05 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

The current bottleneck of globally solving mixed-integer (non-convex) quadratically constrained problem (MIQCP) is still to construct strong but computationally cheap convex relaxations, especially when dense quadratic functions are…

Optimization and Control · Mathematics 2014-03-24 Hongbo Dong

For several decades the dominant techniques for integer linear programming have been branching and cutting planes. Recently, several authors have developed core point methods for solving symmetric integer linear programs (ILPs). An integer…

Optimization and Control · Mathematics 2025-05-07 Naghmeh Shahverdi , Seyyedmahsa Banihashemi , David Bremner

In this paper, we investigate the probabilistic set covering problem (PSCP) in which the right-hand side is a binary random vector and the covering constraint is required to be satisfied with a prespecified probability. We consider the case…

Optimization and Control · Mathematics 2026-03-24 Wei Lv , Wei-Kun Chen , Yi-Long Chen , Yu-Hong Dai