Publication result detail

A Minimisation of Network Covering Services in a Threshold Distance

ŠEDA, M.; ŠEDA, P.

Original Title

A Minimisation of Network Covering Services in a Threshold Distance

English Title

A Minimisation of Network Covering Services in a Threshold Distance

Type

Chapter in a book

Original Abstract

In this paper, we deal with a special version of the set covering problem, which consists in finding the minimum number of service centres providing specialized services for all customers (or larger units, such as urban areas) within a reasonable distance given by a threshold. If a suitable threshold is found that makes it possible to determine a feasible solution of the task, the task is transformed into a general set covering problem. However, this has a combinatorial nature and, because it belongs to the class of NP-hard problems, for a large instance of the problem, it cannot be used to find the optimal solution in a reasonable amount of time. In the paper, we present a solution by means of two stochastic heuristic methods - genetic algorithms and simulated annealing – and, using a test instance from OR-Library, we present the parameter settings of both methods and the results achieved.

English abstract

In this paper, we deal with a special version of the set covering problem, which consists in finding the minimum number of service centres providing specialized services for all customers (or larger units, such as urban areas) within a reasonable distance given by a threshold. If a suitable threshold is found that makes it possible to determine a feasible solution of the task, the task is transformed into a general set covering problem. However, this has a combinatorial nature and, because it belongs to the class of NP-hard problems, for a large instance of the problem, it cannot be used to find the optimal solution in a reasonable amount of time. In the paper, we present a solution by means of two stochastic heuristic methods - genetic algorithms and simulated annealing – and, using a test instance from OR-Library, we present the parameter settings of both methods and the results achieved.

Keywords

Set covering, unicost problem, threshold, reachability matrix, genetic algorithm, repair operator

Key words in English

Set covering, unicost problem, threshold, reachability matrix, genetic algorithm, repair operator

Authors

ŠEDA, M.; ŠEDA, P.

RIV year

2016

Released

01.06.2015

Publisher

Springer

Location

Heidelberg, Germany

ISBN

978-3-319-19823-1

Book

Recent Advances in Soft Computing

Edition

Advances in Intelligent Systems and Computing

Pages from

159

Pages to

169

Pages count

11

BibTex

@inbook{BUT119299,
  author="Miloš {Šeda} and Pavel {Šeda}",
  title="A Minimisation of Network Covering Services in a Threshold Distance",
  booktitle="Recent Advances in Soft Computing",
  year="2015",
  publisher="Springer",
  address="Heidelberg, Germany",
  series="Advances in Intelligent Systems and Computing",
  edition="1.",
  pages="159--169",
  isbn="978-3-319-19823-1"
}