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In this paper, we show how a resource allocation problem can be solved through Integer Linear Programming (ILP). A detailed illustrative example is presented, together with an exhaustive overview of the mathematical model. The size of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-29 Filip De Turck

We consider the problem of optimally designing a body wireless sensor network, while taking into account the uncertainty of data generation of biosensors. Since the related min-max robustness Integer Linear Programming (ILP) problem can be…

Optimization and Control · Mathematics 2017-04-18 Fabio D'Andreagiovanni , Antonella Nardin , Enrico Natalizio

The Maximal Covering Location Problem (MCLP) represents a fundamental optimization challenge in facility location theory, where the objective is to maximize demand coverage while operating under resource constraints. This paper presents a…

Data Structures and Algorithms · Computer Science 2025-09-30 Sukanya Samanta , Abhi Rohit Kalathoti , Siva Jayanth Gonchi , Venkata Krishna Kashyap Adiraju , Sai Kiran Nettem

Securing petroleum infrastructure requires balancing autonomous system efficiency with human judgment for threat escalation, a challenge unaddressed by classical facility location models assuming homogeneous resources. This paper formulates…

Robotics · Computer Science 2026-04-16 Nur Ahmad Khatim , Mansur Arief

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

The Uncapacitated Facility Location (UFL) problem is one of the most fundamental clustering problems: Given a set of clients $C$ and a set of facilities $F$ in a metric space $(C \cup F, dist)$ with facility costs $open : F \to…

Data Structures and Algorithms · Computer Science 2026-01-29 Vincent Cohen-Addad , Fabrizio Grandoni , Euiwoong Lee , Chris Schwiegelshohn

Multipartite entity resolution aims at integrating records from multiple datasets into one entity. We derive a mathematical formulation for a general class of record linkage problems in multipartite entity resolution across many datasets as…

Discrete Mathematics · Computer Science 2021-12-08 Alla Kammerdiner , Alexander Semenov , Eduardo Pasiliao

We investigate the sequential competitive facility location problem (SCFLP) under partially binary rule where two companies sequentially open a limited number of facilities to maximize their market shares, requiring customers to patronize,…

Optimization and Control · Mathematics 2025-08-13 Yu-Qi Guo , Yan-Ru Wang , Wei-Kun Chen , Yu-Hong Dai

Minimizing the number of reshuffling operations at maritime container terminals incorporates the Pre-Marshalling Problem (PMP) as an important problem. Based on an analysis of existing solution approaches we develop new heuristics utilizing…

Artificial Intelligence · Computer Science 2015-11-17 Raka Jovanovic , Milan Tuba , Stefan Voss

We study a joint facility location and cost planning problem in a competitive market under random utility maximization (RUM) models. The objective is to locate new facilities and make decisions on the costs (or budgets) to spend on the new…

Optimization and Control · Mathematics 2024-01-17 Ngan Ha Duong , Tien Thanh Dam , Thuy Anh Ta , Tien Mai

Facility location problems are captivating both from theoretical and practical point of view. In this paper, we study some fundamental facility location problems from the space-efficient perspective. Here the input is considered to be given…

Data Structures and Algorithms · Computer Science 2014-09-22 Binay K. Bhattacharya , Minati De , Subhas C. Nandy , Sasanka Roy

Branch-price-and-cut is the state-of-the-art exact method for solving many types of vehicle routing problems, and is particularly effective for vehicle routing problems with time windows. A well-known challenge in branch-price-and-cut is…

Optimization and Control · Mathematics 2026-02-11 Lukas Eveborn , Elina Rönnberg

We present a randomized distributed approximation algorithm for the metric uncapacitated facility location problem. The algorithm is executed on a bipartite graph in the Congest model yielding a (1.861 + epsilon) approximation factor, where…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-09 Patrick Briest , Bastian Degener , Barbara Kempkes , Peter Kling , Peter Pietrzyk

We propose a novel hierarchical reinforcement learning framework for quadruped locomotion over challenging terrain. Our approach incorporates a two-layer hierarchy in which a high-level policy (HLP) selects optimal goals for a low-level…

Robotics · Computer Science 2025-06-26 Jeremiah Coholich , Muhammad Ali Murtaza , Seth Hutchinson , Zsolt Kira

Meal delivery services provided by platforms with integrated delivery systems are becoming increasingly popular. This paper adopts a rolling horizon approach to solve the meal delivery routing problem (MDRP). To improve delivery efficiency…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Lejun Zhou , Anke Ye , Simon Hu

The \textit{facility location} problem consists of a set of \textit{facilities} $\mathcal{F}$, a set of \textit{clients} $\mathcal{C}$, an \textit{opening cost} $f_i$ associated with each facility $x_i$, and a \textit{connection cost}…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-14 James Hegeman , Sriram V. Pemmaraju

The p-median problem concerns the location of facilities so that the sum of distances between the demand points and their nearest facility is minimized. We study a variant of this classic location problem where minimum distance constraints…

Optimization and Control · Mathematics 2022-07-13 Nikolaos Ploskas , Kostas Stergiou

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

Operation of critical infrastructures are highly interdependent on each other. Such dependencies causes failure in these infrastructures to cascade on an initial failure event. Owing to this vulnerability it is imperative to incorporate…

Networking and Internet Architecture · Computer Science 2017-03-21 Joydeep Banerjee , Arunabha Sen , Chenyang Zho

We consider the multi-vehicle one-to-one pickup and delivery problem with split loads, a NP-hard problem linked with a variety of applications for bulk product transportation, bike-sharing systems and inventory re-balancing. This problem is…

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