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Districting problems
Districting is the problem of grou** small geographic areas, called basic units, into larger
geographic clusters, called districts, such that the latter are balanced, contiguous, and …
geographic clusters, called districts, such that the latter are balanced, contiguous, and …
K‐Plus anticlustering: An improved k‐means criterion for maximizing between‐group similarity
M Papenberg - British Journal of Mathematical and Statistical …, 2024 - Wiley Online Library
Anticlustering refers to the process of partitioning elements into disjoint groups with the goal
of obtaining high between‐group similarity and high within‐group heterogeneity …
of obtaining high between‐group similarity and high within‐group heterogeneity …
[HTML][HTML] GRASP and tabu search for the generalized dispersion problem
The problem of maximizing dispersion requires the selection of a specific number of
elements from a given set, in such a way that the minimum distance between the pairs of …
elements from a given set, in such a way that the minimum distance between the pairs of …
Combining diversity and dispersion criteria for anticlustering: A bicriterion approach
Most partitioning methods used in psychological research seek to produce homogeneous
groups (ie, groups with low intra‐group dissimilarity). However, there are also applications …
groups (ie, groups with low intra‐group dissimilarity). However, there are also applications …
A new mixed-integer programming formulation for the maximally diverse grou** problem with attribute values
A Schulz - Annals of Operations Research, 2022 - Springer
The paper presents a new mixed-integer programming formulation for the maximally diverse
grou** problem (MDGP) with attribute values. The MDGP is the problem of assigning …
grou** problem (MDGP) with attribute values. The MDGP is the problem of assigning …
An exact algorithm for designing optimal districts in the collection of waste electric and electronic equipment through an improved reformulation
In this paper, a maximum dispersion districting problem is considered that arises in the
collection of waste electric and electronic equipment. For a given geographic region, the …
collection of waste electric and electronic equipment. For a given geographic region, the …
General Variable Neighborhood Search for Maximum Diversity Problem with Capacity and Budget Constraints
We consider a resource allocation problem, referred to as the Maximum Diversity Problem
with Capacity and Budget Constraints. It involves establishing some facilities in such a way …
with Capacity and Budget Constraints. It involves establishing some facilities in such a way …
On the unified dispersion problem: Efficient formulations and exact algorithms
Facility dispersion problems involve placing a number of facilities as far apart from each
other as possible. Four different criteria of facility dispersal have been proposed in the …
other as possible. Four different criteria of facility dispersal have been proposed in the …
Formulations and valid inequalities for the capacitated dispersion problem
This work focuses on the capacitated dispersion problem for which we study several
mathematical formulations in different spaces using variables associated with nodes, edges …
mathematical formulations in different spaces using variables associated with nodes, edges …
The Moving Diversified Nearest Neighbor Query
As a major type of continuous spatial queries, the moving nearest neighbor (NN) query has
been studied extensively. However, most existing studies have focused on only the query …
been studied extensively. However, most existing studies have focused on only the query …