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An improved binary programming formulation for the secure domination problem.

An improved binary programming formulation for the secure domination problem.

Authors :
Burdett, Ryan
Haythorpe, Michael
Source :
Annals of Operations Research. 2020, Vol. 295 Issue 2, p561-573. 13p.
Publication Year :
2020

Abstract

The secure domination problem, a variation of the domination problem with some important real-world applications, is considered. Very few algorithmic attempts to solve this problem have been presented in literature, and the most successful to date is a binary programming formulation which is solved using CPLEX. A new binary programming formulation is proposed here which requires fewer constraints and fewer binary variables than the existing formulation. It is implemented in CPLEX, and tested on certain families of graphs that have previously been considered in the context of secure domination. It is shown that the runtime required for the new formulation to solve the instances is significantly less than that of the existing formulation. An extension of our formulation that solves the related, but further constrained, secure connected domination problem is also given; to the best of the authors' knowledge, this is the first such formulation in literature. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PROBLEM solving

Details

Language :
English
ISSN :
02545330
Volume :
295
Issue :
2
Database :
Academic Search Index
Journal :
Annals of Operations Research
Publication Type :
Academic Journal
Accession number :
147179285
Full Text :
https://doi.org/10.1007/s10479-020-03810-6