Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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AN ALGORITHM BASED ON COULOMB’S LAW TO SOLVE THE CCP

Authors

  • Laura Michele Báez Villegas
  • Jose Luis Martínez Flores
  • Diana Sanchez Partida
  • Enrique Gabriel Baquela

DOI:

https://doi.org/10.17654/0974165822052

Abstract

The CCP consists of grouping a set of N nodes in several K different disjoint clusters with limited capacities. A particular type of node, named centroid, is defined for each cluster. Nodes with short paths to centroid are grouped, provided that cluster capacity is not exceeded. The objective of the CCP is to minimize the sum of the path length from each node to the corresponding centroid of the assigned cluster. The CCP is an NP-complete combinatorial optimization problem. In this work, a new method for solving the CCP is presented. This method can solve large problems in an acceptable time and still obtain competitive solutions. The results and execution times applying the method in instances of common use were compared with those obtained in recent publications.

Received: September 2, 2022
Revised: October 21, 2022
Accepted: November 1, 2022

References

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Published

2022-11-18

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Section

Articles

How to Cite

AN ALGORITHM BASED ON COULOMB’S LAW TO SOLVE THE CCP. (2022). Advances and Applications in Discrete Mathematics, 35, 61-75. https://doi.org/10.17654/0974165822052