The conditional p-dispersion problem

Marilène Cherkesly () and Claudio Contardo ()
Additional contact information
Marilène Cherkesly: ESG UQAM
Claudio Contardo: ESG UQAM

Journal of Global Optimization, 2021, vol. 81, issue 1, No 3, 23-83

Abstract: Abstract We introduce the conditional p-dispersion problem (c-pDP), an incremental variant of the p-dispersion problem (pDP). In the c-pDP, one is given a set N of n points, a symmetric dissimilarity matrix D of dimensions $$n\times n$$ n × n , an integer $$p\ge 1$$ p ≥ 1 and a set $$Q\subseteq N$$ Q ⊆ N of cardinality $$q\ge 1$$ q ≥ 1 . The objective is to select a set $$P\subset N\setminus Q$$ P ⊂ N \ Q of cardinality p that maximizes the minimal dissimilarity between every pair of selected vertices, i.e., $$z(P\cup Q) {:}{=}\min \{D(i, j), i, j\in P\cup Q\}$$ z ( P ∪ Q ) : = min { D ( i , j ) , i , j ∈ P ∪ Q } . The set Q may model a predefined subset of preferences or hard location constraints in incremental network design. We adapt the state-of-the-art algorithm for the pDP to the c-pDP and include an ad-hoc acceleration mechanism designed to leverage the information provided by the set Q to further reduce the size of the problem instance. We perform exhaustive computational experiments and show that the proposed acceleration mechanism helps reduce the total computational time by a factor of five on average. We also assess the scalability of the algorithm and derive sensitivity analyses.

Keywords: p-Dispersion; Clustering; Conditional p-dispersion; Exact methods (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-020-00962-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:81:y:2021:i:1:d:10.1007_s10898-020-00962-4

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-020-00962-4

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().