[HTML][HTML] A review on discrete diversity and dispersion maximization from an OR perspective

R Martí, A Martínez-Gavara, S Pérez-Peló… - European Journal of …, 2022 - Elsevier
The problem of maximizing diversity or dispersion deals with selecting a subset of elements
from a given set in such a way that the distance among the selected elements is maximized …

[HTML][HTML] Solution-based tabu search for the capacitated dispersion problem

Z Lu, A Martínez-Gavara, JK Hao, X Lai - Expert Systems with Applications, 2023 - Elsevier
Given a weighted graph with a capacity associated to each node (element), the capacitated
dispersion problem (CDP) consists in selecting a subset of elements satisfying a capacity …

Solving the capacitated dispersion problem with variable neighborhood search approaches: From basic to skewed VNS

N Mladenović, R Todosijević, D Urošević… - Computers & Operations …, 2022 - Elsevier
The topic of this paper is the Capacitated Dispersion Problem (CDP). To solve the problem,
variable neighborhood search (VNS) based heuristics are proposed. The proposed …

The capacitated dispersion problem: An optimization model and a memetic algorithm

R Martí, A Martínez-Gavara, J Sánchez-Oro - Memetic Computing, 2021 - Springer
The challenge of maximizing the diversity of a collection of points arises in a variety of
settings, and the growing interest of dealing with diversity resulted in an effort to study these …

[HTML][HTML] A multi-start biased-randomized algorithm for the capacitated dispersion problem

JF Gomez, J Panadero, RD Tordecilla, J Castaneda… - Mathematics, 2022 - mdpi.com
The capacitated dispersion problem is a variant of the maximum diversity problem in which a
set of elements in a network must be determined. These elements might represent, for …

[HTML][HTML] A learnheuristic algorithm for the capacitated dispersion problem under dynamic conditions

JF Gomez, AR Uguina, J Panadero, AA Juan - Algorithms, 2023 - mdpi.com
The capacitated dispersion problem, which is a variant of the maximum diversity problem,
aims to determine a set of elements within a network. These elements could symbolize, for …

A breakpoints based method for the maximum diversity and dispersion problems

DS Hochbaum, Z Liu, O Goldschmidt - SIAM Conference on Applied and …, 2023 - SIAM
The maximum diversity, or dispersion, problem (MDP), is to select from a given set a subset
of elements of given cardinality (budget), so that the sum of pairwise distances, or utilities …

[HTML][HTML] Solving Euclidean Max-Sum problems exactly with cutting planes

HT Bui, S Spiers, R Loxton - Computers & Operations Research, 2024 - Elsevier
This paper studies binary quadratic programs in which the objective is defined by the
maximisation of a Euclidean distance matrix, subject to a general polyhedral constraint set …

[HTML][HTML] Multi-Neighborhood Simulated Annealing for the Capacitated Dispersion Problem

RM Rosati, A Schaerf - Expert Systems with Applications, 2024 - Elsevier
We propose a novel Multi-Neighborhood Simulated Annealing approach to address the
Capacitated Dispersion Problem. It makes use of three neighborhoods, adapted from similar …

Formulations and valid inequalities for the capacitated dispersion problem

M Landete, J Peiró, H Yaman - Networks, 2023 - Wiley Online Library
This work focuses on the capacitated dispersion problem for which we study several
mathematical formulations in different spaces using variables associated with nodes, edges …