In this paper, we propose a new approach to critical path analysis in a project network whose activity times are uncertain. The uncertain parameters in the project network are represented by fuzzy numbers. We use fuzzy arithmetic and a fuzzy ranking method to determine the fuzzy critical path of the project network without converting the fuzzy activity times to classical numbers. The proposed m...

This paper proposes a new method to solve fuzzy critical path problems for a project network with activity times being normalised trapezoidal fuzzy numbers. is solved successfully to demonstrate the validity of the proposed approach.

Fuzzy logic is an alternate approach for quantifying uncertainty relating to activity duration. The fuzzy version of the backward recursion has been shown to produce results that incorrectly amplify the level of uncertainty. However, the fuzzy version of the forward recursion has been widely proposed as an approach for determining the fuzzy set of critical path lengths. In this paper, the direc...

The purpose of the critical path method (CPM) is to identify the critical activities in the critical path of an activity network. In the real world for many projects we have to use human judgment for estimating the duration of activities. However, the unknowns or vagueness about the time duration for activities in network planning, has led to the development of fuzzy CPM. A way to deal with thi...

The Critical Path Method (CPM) is a vital tool for the planning and control of complex projects. The successful implementation of CPM requires the availability of a clear determined time duration for each activity. However, in practical situations this requirement is usually hard to fulfill since many of activities will be executed for the first time. Hence, there is always uncertainty about th...

In this paper Algorithm is presented to perform critical path method in a fuzzy environment. The trapezoidal fuzzy number given by decision makers or characterized by historical data are utilized to assess the activity time in a project network. The fuzzy shortest path problem thus obtained is compared with conventional method.