Volume 55, Number 4, July-August 2021
|Page(s)||2241 - 2246|
|Published online||29 July 2021|
A conjecture on a continuous optimization model for the Golomb Ruler Problem
Michigan State University, Natural Science Building, 288 Farm Lane, East Lansing, MI, USA
2 University of Campinas (IMECC – Unicamp), Cidade Universitaria Zeferino Vaz, Campinas, Brazil
3 Federal University of Sao Paulo, Science and Technology Institute, Sao Jose dos Campos, Brazil
* Corresponding author: firstname.lastname@example.org
Accepted: 11 July 2021
A Golomb Ruler (GR) is a set of integer marks along an imaginary ruler such that all the distances of the marks are different. Computing a GR of minimum length is associated to many applications (from astronomy to information theory). Although not yet demonstrated to be NP-hard, the problem is computationally very challenging. This brief note proposes a new continuous optimization model for the problem and, based on a given theoretical result and some computational experiments, we conjecture that an optimal solution of this model is also a solution to an associated GR of minimum length.
Mathematics Subject Classification: 90C26 / 90C27
Key words: Nonlinear programming / Golomb Ruler Problem / continuous models
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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