analysis of critical paths in a project network with random fuzzy activity times

project planning is part of project management, which is relates to the use of schedules such as gantt charts to plan and subsequently report progress within the project environment. initially, the project scope is defined and the appropriate methods for completing the project are determined. in this paper a new approach for the critical path analyzing a project network with random fuzzy activity times has been proposed. the activity times of a project are assumed to be random fuzzy. linear programming formulation has been applied to determine the critical path. the critical path method (cpm) problem has been solved using the expected duration optimization model and the mean-variance model, along with liu’s definition for random fuzzy variables. furthermore, a numerical example problem is solved for illustrating the proposed method.