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The Maximum Clique Problem (MCP) is a foundational NP-hard problem with wide-ranging applications, yet no single algorithm consistently outperforms all others across diverse graph instances. This underscores the critical need for…

Machine Learning · Computer Science 2025-12-09 Xiang Li , Shanshan Wang , Chenglong Xiao

In this paper, we consider the Minimum-Load $k$-Clustering/Facility Location (MLkC) problem where we are given a set $P$ of $n$ points in a metric space that we have to cluster and an integer $k$ that denotes the number of clusters.…

Computational Geometry · Computer Science 2021-07-21 Sayan Bandyapadhyay , Fedor V. Fomin , Petr A. Golovach , Nidhi Purohit , Kirill Simonov

This paper deals with the problem of computing, in an online fashion, a maximum benefit multi-commodity flow (\ONMCF), where the flow demands may be bigger than the edge capacities of the network. We present an online, deterministic,…

Data Structures and Algorithms · Computer Science 2012-04-24 Guy Even , Moti Medina

The multi allocation p-hub median problem (MApHM), the multi allocation uncapacitated hub location problem (MAuHLP) and the multi allocation p-hub location problem (MApHLP) are common hub location problems with several practical…

Discrete Mathematics · Computer Science 2023-07-17 Niklas Jost

We introduce a strategic decision-making problem faced by logistics providers (LPs) seeking facility location decisions that lead to profitable operations. The profitability depends on the revenue generated through agreements with shippers,…

Optimization and Control · Mathematics 2024-06-13 David Pinzon , Emma Frejinger , Bernard Gendron

We tackle the downgrading maximal covering location problem within a network. In this problem, two actors with conflicting objectives are involved: (a) The location planner aims to determine the location of facilities to maximize the…

Optimization and Control · Mathematics 2025-03-04 Marta Baldomero-Naranjo , Jörg Kalcsics , Antonio M. Rodríguez-Chía

An optimization method is proposed in this paper for novel deployment of given number of directional landmarks (location and pose) within a given region in the 3-D task space. This new deployment technique is built on the geometric models…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Zike Lei , Xi Chen , Ying Tan , Xiang Chen , Li Chai

This paper provides a general mathematical optimization based framework to incorporate fairness measures from the facilities' perspective to Discrete and Continuous Maximal Covering Location Problems. The main ingredients to construct a…

Optimization and Control · Mathematics 2022-11-17 Víctor Blanco , Ricardo Gázquez

We consider a dynamic pricing problem in network revenue management where customer behavior is predicted by a choice model, i.e., the multinomial logit (MNL) model. The problem, even in the static setting (i.e., customer demand remains…

Optimization and Control · Mathematics 2025-01-06 Qian Shao , Tien Mai , Shih-Fen Cheng

Mobile parcel lockers have been recently proposed by logistics operators as a technology that could help reduce traffic congestion and operational costs in urban freight distribution. Given their ability to relocate throughout their area of…

Artificial Intelligence · Computer Science 2024-12-25 Yubin Liu , Qiming Ye , Jose Escribano-Macias , Yuxiang Feng , Eduardo Candela , Panagiotis Angeloudis

In this paper, a novel quadratic convex optimal power flow model, namely, MDOPF, is proposed to determine the optimal dispatches of distributed generators. Based on the results of MDOPF, two price mechanisms, distribution locational…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

In this paper, we present improved approximation algorithms for the (unsplittable) Capacitated Vehicle Routing Problem (CVRP) in general metrics. In CVRP, introduced by Dantzig and Ramser (1959), we are given a set of points (clients) $V$…

Data Structures and Algorithms · Computer Science 2021-11-17 Zachary Friggstad , Ramin Mousavi , Mirmahdi Rahgoshay , Mohammad R. Salavatipour

A new variant of the classic capacitated facility location problem, which considers incompatibilities between customers, has recently been introduced in the literature. This problem captures the situation where given pairs of customers…

Artificial Intelligence · Computer Science 2026-05-28 Ida Gjergji , Lucas Kletzander , Nysret Musliu , Andrea Schaerf

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

The capacitated location-routing problem involves determining the depots from a set of candidate capacitated depot locations and finding the required routes from the selected depots to serve a set of customers whereas minimizing a cost…

Artificial Intelligence · Computer Science 2024-03-15 Pengfei He , Jin-Kao Hao , Qinghua Wu

We investigate {\em multidimensional covering mechanism-design} problems, wherein there are $m$ items that need to be covered and $n$ agents who provide covering objects, with each agent $i$ having a private cost for the covering objects he…

Computer Science and Game Theory · Computer Science 2013-09-11 Hadi Minooei , Chaitanya Swamy

We consider the {\em lower-bounded facility location} (\lbfl) problem (also sometimes called {\em load-balanced facility location}), which is a generalization of {\em uncapacitated facility location} (\ufl), where each open facility is…

Data Structures and Algorithms · Computer Science 2012-08-31 Sara Ahmadian , Chaitanya Swamy

In Facility Location problems there are agents that should be connected to facilities and locations where facilities may be opened so that agents can connect to them. We depart from Uncapacitated Facility Location and by assuming that the…

Computer Science and Game Theory · Computer Science 2025-11-14 Thanasis Lianeas , Marios Mertzanidis , Aikaterini Nikolidaki

This paper concerns with the sensor management problem in collocated Multiple-Input Multiple-Output (MIMO) radars. After deriving the Cramer-Rao Lower Bound (CRLB) as a performance measure, the antenna allocation problem is formulated as a…

Applications · Statistics 2016-11-15 A. A. Gorji , R. Tharmarasa , W. D. Blair , T. Kirubarajan

The Maximal Covering Location-Interdiction Problem (MCLIP) is a classic bi-level optimization problem, which is fundamental to resilient infrastructure planning yet remains computationally intractable. Specifically, the upper level…

Machine Learning · Computer Science 2026-05-27 Changhao Miao , Yuntian Zhang , Tongyu Wu , Fang Deng , Chen Chen