Detail publikace

Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method

ŠEDA, M.

Anglický název

Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method

Typ

Stať ve sborníku v databázi WoS či Scopus

Jazyk

en

Originální abstrakt

Finding the minimal logical functions has important applications in the design of logical circuits. This task is solved by many different methods but, frequently, they are not suitable for a computer implementation. We briefly summarise the well-known Quine-McCluskey method, which gives a unique procedure of computing and thus can be simply implemented, but, even for simple examples, does not guarantee an optimal solution. Since the Petrick extension of the Quine-McCluskey method does not give a generally usable method for finding an optimum for logical functions with a high number of values, we focus on interpretation of the result of the Quine-McCluskey method and show that it represents a set covering problem that, unfortunately, is an NP-hard combinatorial problem. Therefore it must be solved by heuristic or approximation methods. We propose an approach based on genetic algorithms and show suitable parameter settings.

Klíčová slova anglicky

Karnaugh map, Quine-McCluskey method, set covering problem, genetic algorithm

Vydáno

2007-08-01

Nakladatel

WASET

Místo

Berlin (Germany)

Kniha

Proceedings of WASET International Conference on Computer, Electrical and Systems Science and Engineering CESSE 2007

Strany od–do

256–260

Počet stran

5

BIBTEX


@inproceedings{BUT23386,
  author="Miloš {Šeda}",
  title="Heuristic Set-Covering-Based Postprocessing for Improving the Quine-McCluskey Method",
  booktitle="Proceedings of WASET International Conference on Computer, Electrical and Systems Science and Engineering CESSE 2007",
  year="2007",
  pages="256--260",
  publisher="WASET",
  address="Berlin (Germany)"
}