Detail publikačního výsledku

Critical Path Method based on Fuzzy Numbers: Comparison with Monte Carlo Method

DOSKOČIL, R.; DOUBRAVSKÝ, K.

Originální název

Critical Path Method based on Fuzzy Numbers: Comparison with Monte Carlo Method

Anglický název

Critical Path Method based on Fuzzy Numbers: Comparison with Monte Carlo Method

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The Critical Path Method (CPM) is widely use for planning and control of complex projects. The CPM identifies the critical path of a network chart. The CPM requires the availability of clear defined time duration for each activity (activity time). However, thus clear defined (accurate) values are not known in real situations. There is always uncertainty about the time durations of activities. There is the PERT method which computes with uncertainties, but this method is demanding to studying and implementing. The uncertainties of the time durations of activities can be also described by fuzzy sets. This paper shows how fuzzy numbers are used to determine a critical path method in a fuzzy project network, where the duration time of each activity is expressed by a triangular fuzzy number. The described method is compared with Monte Carlo method. The comparison shows that the method described in this paper is simple to calculating a critical path than many methods (e.g. PERT) shown in literature.

Anglický abstrakt

The Critical Path Method (CPM) is widely use for planning and control of complex projects. The CPM identifies the critical path of a network chart. The CPM requires the availability of clear defined time duration for each activity (activity time). However, thus clear defined (accurate) values are not known in real situations. There is always uncertainty about the time durations of activities. There is the PERT method which computes with uncertainties, but this method is demanding to studying and implementing. The uncertainties of the time durations of activities can be also described by fuzzy sets. This paper shows how fuzzy numbers are used to determine a critical path method in a fuzzy project network, where the duration time of each activity is expressed by a triangular fuzzy number. The described method is compared with Monte Carlo method. The comparison shows that the method described in this paper is simple to calculating a critical path than many methods (e.g. PERT) shown in literature.

Klíčová slova

Monte Carlo method, fuzzy set, fuzzy number, fuzzy critical path, activity time.

Klíčová slova v angličtině

Monte Carlo method, fuzzy set, fuzzy number, fuzzy critical path, activity time.

Autoři

DOSKOČIL, R.; DOUBRAVSKÝ, K.

Rok RIV

2014

Vydáno

13.11.2013

Nakladatel

International Business Information Management Association

Místo

Rome, Italy

ISBN

978-0-9860419-1-4

Kniha

Creating Global Competitive Economies

Strany od

1402

Strany do

1411

Strany počet

10

BibTex

@inproceedings{BUT104524,
  author="Radek {Doskočil} and Karel {Doubravský}",
  title="Critical Path Method based on Fuzzy Numbers: Comparison with Monte Carlo Method",
  booktitle="Creating Global Competitive Economies",
  year="2013",
  number="22",
  pages="1402--1411",
  publisher="International Business Information Management Association",
  address="Rome, Italy",
  isbn="978-0-9860419-1-4"
}