10.57647/j.fomj.2025.0604.21

Simultaneous Minimization of Cost, Cycle Time, and Workstations in Intuitionistic Fuzzy Assembly Line Systems

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  • Ali Mahmoodirad*1,
  1. Department of Mathematics, Bab. C, Islamic Azad University, Babol, Iran

Received: 2025-08-18

Revised: 2025-09-19

Accepted: 2025-10-03

Published in Issue 2025-12-30

Copyright (c) 2025 Ali Mahmoodirad (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mahmoodirad, A. (2025). Simultaneous Minimization of Cost, Cycle Time, and Workstations in Intuitionistic Fuzzy Assembly Line Systems. Fuzzy Optimization and Modeling Journal (FOMJ), 6(4). https://doi.org/10.57647/j.fomj.2025.0604.21
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Abstract

Assembly line design is done to coordinate a set of sequential activity stations that are used to maximize the utilization of workstations and manpower. The stations are deployed in such a way that materials flow through them continuously, continuously and at a constant rate. In this paper, a multi-objective model in intuitionistic fuzzy conditions is proposed for the assembly line balance problem. In order to solve the proposed model, a two-stage method is presented. In the first stage, the multi-objective problem of assembly line balance in intuitionistic fuzzy conditions is transformed into a deterministic multi-objective problem, and in the second stage, an efficiency solution for the multi-objective problem is obtained using the fuzzy programming method. In order to demonstrate the efficiency of the proposed method, a numerical example is presented. 

Keywords

  • Multi-objective assembly line balancing problem; Trapezoidal intuitionistic fuzzy numbers; Fuzzy mathematical programming; Pareto solution.
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