Affiliations: [a] Business School, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, China
| [b] Development Institute of Jiangbei New Area, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, China
| [c] School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, Jiangsu, China
| [d] College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China
| [e] Business School, Jiangsu Normal University, Xuzhou, Jiangsu, China
Correspondence:
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Corresponding author. Na Zhang, Business School, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China. E-mail: zhangnanuaa@163.com.
Abstract: In view of the situation that tasks or activities in the GERT model may have multiple realizations, this paper explores the time dependence of each repeated execution node under the condition of fuzzy information, and studies the characteristics of the z-tag fuzzy GERT model and its analytic algorithm. Firstly, the F-GERT model related to the number of executions of activities is defined, and the simplified rules, related properties and theorems of the network model are examined. Secondly, solving algorithm, conditional moment generating function and process arrival time of the F-GERT model for repeated execution time are studied. Finally, the application of F-GERT queuing system based on element execution time in weapon equipment management is discussed. The feasibility and effectiveness of the model and algorithm are verified by the practical application of the project.
Keywords: Project management, GERT model, fuzzy information, z-tag, moment generating function, network structure
