Abstract
Critical Path Method (CPM) technique has become widely recognized as valuable tool for the planning and scheduling large construction projects. The aim of this paper is to present an analytical method for finding the Critical Path in the precedence network diagram where the duration of each activity is represented by a trapezoidal fuzzy number. This Fuzzy Critical Path Method (FCPM) uses a defuzzification formula for trapezoidal fuzzy number and applies it on the total float (slack time) for each activity in the fuzzy precedence network to find the critical path. The method presented in this paper is very effective in determining the critical activities and finding the critical paths.
Highlights
The Critical Path Method (CPM) is a vital tool for the planning and control of complex projects
On account of long duration of the construction and risks that accompany this process, it is often very difficult or almost impossible to accurately predict the duration of an activity, and to take it for granted that the given activity will be finished on the very same day that is given in the dynamic plan of construction
This paper presents an analytical method for finding the critical path in the fuzzy precedence network diagram, which applies the method of defuzzificating total float of every activity in the network diagram
Summary
The Critical Path Method (CPM) is a vital tool for the planning and control of complex projects. On account of long duration of the construction and risks that accompany this process, it is often very difficult or almost impossible to accurately predict the duration of an activity, and to take it for granted that the given activity will be finished on the very same day that is given in the dynamic plan of construction. Durations of different activities are usually taken from productivities rates for man-hours calculation, which are often too generalized and sometimes obviously not accurate. Productivity rates for man-hours calculation for in-situ reinforcement fixing are based only on total amount of the reinforcing steel [1], regardless of the Author’s address: Kazimir Kurij, University Union Nikola Tesla, Faculty of Construction Management, Belgrade, Cara Dušana 62-64
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