RANKING OF TOTAL TIME RESERVES FOR DETERMINATION OF THE CRITICAL PATH IN FUZZY NETWORK PLAN
Date Issued
2024-03
Author(s)
Lazarevska Marijana
Gacevski Vasko
Zafirovski Zlatko
Abstract
The Critical Path Method, as a method of network planning, is used in the process of planning
and control of complex projects from various fields. For their successful implementation, a clear
determination of the duration of each project activity is necessary. However, in construction
sector it is very difficult to fulfill this requirement, because the realization of many activities is
accompanied by a certain degree of uncertainty and risk.
Since construction projects are characterized by uniqueness and unrepeatability, there are often
no available historical data for a clear and precise determination of the duration of project
activities. Given that, the duration should be predicted by expert and experienced persons, who,
in the conditions of unique influencing factors and facing many inaccuracies, should define their
decisions during the whole process of project management. Due to the shortcomings of classical
planning methods, related to the calculation of the duration of project activities, which does not
offer the possibility of modeling complex construction projects, there was a real need for the
definition and implementation of new concepts of planning.
As an alternative way to model uncertainty and risk, the fuzzy concept was introduced in the
planning process, with which the durations of project activities are presented through fuzzy
numbers. This fundamental approach, which is based on the application of fuzzy theory, enables
advanced and successful modelling of real situations and projects, which overcomes the
shortcomings characteristic of classical planning methods.
This paper gives an overview of one practical example of application of fuzzy logic in the
planning process. One method of ranking fuzzy numbers has been applied for calculation of the
earliest and the latest fuzzy time of project activities, and the total time reserves, in order to
determine the critical path in fuzzy network diagrams.
and control of complex projects from various fields. For their successful implementation, a clear
determination of the duration of each project activity is necessary. However, in construction
sector it is very difficult to fulfill this requirement, because the realization of many activities is
accompanied by a certain degree of uncertainty and risk.
Since construction projects are characterized by uniqueness and unrepeatability, there are often
no available historical data for a clear and precise determination of the duration of project
activities. Given that, the duration should be predicted by expert and experienced persons, who,
in the conditions of unique influencing factors and facing many inaccuracies, should define their
decisions during the whole process of project management. Due to the shortcomings of classical
planning methods, related to the calculation of the duration of project activities, which does not
offer the possibility of modeling complex construction projects, there was a real need for the
definition and implementation of new concepts of planning.
As an alternative way to model uncertainty and risk, the fuzzy concept was introduced in the
planning process, with which the durations of project activities are presented through fuzzy
numbers. This fundamental approach, which is based on the application of fuzzy theory, enables
advanced and successful modelling of real situations and projects, which overcomes the
shortcomings characteristic of classical planning methods.
This paper gives an overview of one practical example of application of fuzzy logic in the
planning process. One method of ranking fuzzy numbers has been applied for calculation of the
earliest and the latest fuzzy time of project activities, and the total time reserves, in order to
determine the critical path in fuzzy network diagrams.
Subjects
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