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This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different metric spaces are simultaneously decided to maximize the demand generated by a set of…

Optimization and Control · Mathematics 2021-11-30 Víctor Blanco , Ricardo Gázquez , Francisco Saldanha-da-Gama

The NP-hard maximum value preordering problem is both a joint relaxation and a hybrid of the clique partition problem (a clustering problem) and the partial ordering problem. Toward approximate solutions and lower bounds, we introduce a…

Machine Learning · Computer Science 2025-08-29 Jannik Irmai , Maximilian Moeller , Bjoern Andres

The soft capacitated facility location problem (SCFLP) is a classic combinatorial optimization problem, with its variants widely applied in the fields of operations research and computer science. In the SCFLP, given a set $\mathcal{F}$ of…

Data Structures and Algorithms · Computer Science 2025-02-18 Hanyin Xiao , Jiaming Zhang , Zhikang Zhang , Weidong Li

The energy transition in transportation benefits from demand-based models to determine the optimal placement of refueling stations for alternative fuel vehicles such as battery electric trucks. A formulation known as the refueling station…

Optimization and Control · Mathematics 2023-10-10 Nicholas Nordlund , Leandros Tassiulas , Jan-Hendrik Lange

Cutting and packing problems are present in many, at first glance unconnected, areas, therefore it's beneficial to have a good understanding of their underlying structure, to select proper techniques for finding solutions. Cutting and…

Optimization and Control · Mathematics 2023-11-14 Szymon Wróbel

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

Optimization and Control · Mathematics 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais

In this paper we consider distributed allocation problems with memory constraint limits. Firstly, we propose a tractable relaxation to the problem of optimal symmetric allocations from [1]. The approximated problem is based on the Q-error…

Information Theory · Computer Science 2015-04-17 Iryna Andriyanova , Pablo M. Olmos

In this paper, we consider the multiple probabilistic covering location problem (MPCLP), which attempts to open a fixed number of facilities to maximize the total covered customer demand under a joint probabilistic coverage setting. We…

Optimization and Control · Mathematics 2025-11-24 Yan-Ru Wang , Wei-Kun Chen , Ivana Ljubić

In this paper, we develop optimization methods for a new model of multifacility location problems defined by a Minkowski gauge with Laplace-type regularization terms. The model is analyzed from both theoretical and numerical perspectives.…

Optimization and Control · Mathematics 2026-01-26 W. Geremew , V. S. T. Long , N. M. Nam , A. Solano-Herrera

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

Computer Science and Game Theory · Computer Science 2022-02-14 Péter Biró , Gergely Csáji

Simulating quantum circuits using classical computers lets us analyse the inner workings of quantum algorithms. The most complete type of simulation, strong simulation, is believed to be generally inefficient. Nevertheless, several…

Quantum Physics · Physics 2013-02-25 T. H. Johnson , J. D. Biamonte , S. R. Clark , D. Jaksch

We consider the robust single-source capacitated facility location problem with uncertainty in customer demands. A cardinality-constrained uncertainty set is assumed for the robust problem. To solve it efficiently, we propose an…

Optimization and Control · Mathematics 2021-03-25 Jaehyeon Ryu , Sungsoo Park

In this paper, we develop a parameterized proximal point algorithm (P-PPA) for solving a class of separable convex programming problems subject to linear and convex constraints. The proposed algorithm is provable to be globally convergent…

Optimization and Control · Mathematics 2018-12-11 Jianchao Bai , Hongchao Zhang , Jicheng Li

In this paper, we propose an efficient clustering technique to solve the problem of clustering in the presence of obstacles. The proposed algorithm divides the spatial area into rectangular cells. Each cell is associated with statistical…

Databases · Computer Science 2009-09-25 Mohamed E. El-Sharkawi , Mohamed A. El-Zawawy

Corporate mobility is often based on a fixed assignment of vehicles to employees. Relaxing this fixation and including alternatives such as public transportation or taxis for business and private trips could increase fleet utilization and…

Artificial Intelligence · Computer Science 2021-09-07 Sebastian Knopp , Benjamin Biesinger , Matthias Prandtstetter

We study the assortment optimization problem under general linear constraints, where the customer choice behavior is captured by the Cross-Nested Logit model. In this problem, there is a set of products organized into multiple subsets (or…

Optimization and Control · Mathematics 2023-04-19 Cuong Le , Tien Mai

We consider the classic 1-center problem: Given a set $P$ of $n$ points in a metric space find the point in $P$ that minimizes the maximum distance to the other points of $P$. We study the complexity of this problem in $d$-dimensional…

Computational Complexity · Computer Science 2023-07-13 Amir Abboud , Mohammad Hossein Bateni , Vincent Cohen-Addad , Karthik C. S. , Saeed Seddighin

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

Data Structures and Algorithms · Computer Science 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

In fully-dynamic consistent clustering, we are given a finite metric space $(M,d)$, and a set $F\subseteq M$ of possible locations for opening centers. Data points arrive and depart, and the goal is to maintain an approximately optimal…

Data Structures and Algorithms · Computer Science 2025-08-15 Niv Buchbinder , Roie Levin , Yue Yang

Given a set $P$ of $n$ points in the plane, the $k$-center problem is to find $k$ congruent disks of minimum possible radius such that their union covers all the points in $P$. The $2$-center problem is a special case of the $k$-center…

Computational Geometry · Computer Science 2022-04-20 Binay Bhattacharya , Amirhossein Mozafari , Thomas C. Shermer