Abstract
Objective: This study contains a linear and exponential membership function based fuzzy programming technique with possibilistic approach and its application to find the critical path in project network. Methods: It contains four criteria; cost, quality, time and risk of the project activities for project management. For finding the solution of this multi-criteria project management problem in fuzzy programming technique for better decision by Decision Maker (DM) alpha level set concept is utilized. We have provided numerical illustration to demonstrate working of the proposed methodology. Findings: To analyse the performance of the proposed approach, we have compared it with closely related fuzzy group multi-criteria decision making related Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method for the critical path selection. Application: Further, a case study from manufacturing engineering industry is also presented to justify the applicability and potentials of proposed methodology in a better way. Degree of satisfaction is calculated for different values of alpha levels to validate the applicability of this new approach. Keywords: α-level, Critical Path, Fuzzy Programming, Project Management, Possibilistic Approach
Highlights
Planning is essential for scheduling and controlling the various activities involved in the project, before commencing any project
In this paper we have developed possibilistic programming based approach to find the solution of fuzzy project network analysis which maintain the uncertainty of fuzzy numbers in the real sense with multiple criteria decision making without calculating weakness index, strength index and performance ranking for each path of the network for the multi-criteria critical path selection under fuzzy environment and provide multiple alternatives by fuzzy programming techniques to take the decisions in fuzzy based environment
For finding the solution of the Model 3 by fuzzy programming technique first this models are solved for single objective function and for each objective function find out the Positive Ideal Solution (PIS) and Negative Ideal Solution (NIS) of the model
Summary
Planning is essential for scheduling and controlling the various activities (or tasks) involved in the project, before commencing any project. In17 utilized fuzzy number ranking method for find the critical path and its analysis in project network problem. In24 developed fuzzy ranking based approach to find critical path in project network related problem. In most this discussed literature only fuzzy time criterion was considered to determine the critical path. In31 demonstrate risk, cost, time and quality criteria with fuzzy environment based project network problem and its solution by developed algorithm. In32 proposed an approach to find critical path for project network problem with four criteria quality, risk, time and cost. The following limitations are noticed in existing literature which motivated us to carry out this research work to find the critical path under fuzzy environment
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