A Multi-Objective Model for Job Shop Flexible Scheduling Problem by Considering The Flexibility in Sequencing and Constraints of Activity in Uncertainty Condition

Authors

  • Arsalan Shojaei Department of Industrial Engineering, Pa.C., Islamic Azad University, Parand, Iran
  • Davood Jafari Department of Industrial Engineering, Pa.C., Islamic Azad University, Parand, Iran
  • Mehran Khalaj Department of Industrial Engineering, Pa.C., Islamic Azad University, Parand, Iran

DOI:

https://doi.org/10.23055/ijietap.2026.33.2.11199

Abstract

The current research aims to develop a multi-objective model for the flexible job shop scheduling problem (FJSP) by incorporating flexibility in sequencing and activity constraints under conditions of uncertainty. To achieve this, a comprehensive study was conducted to identify research gaps. Based on these gaps, the assumptions and research objectives were formulated. The proposed multi-objective mathematical programming model (MOMPM) focuses on three primary goals: minimizing makespan, minimizing labor workload, and minimizing weighted delays. The contributions of this study include flexibility in sequencing, activity constraints, uncertainty in processing times, and sequence-dependent setup times. The model is solved using a multi-objective genetic algorithm (MOGA), and the results indicate that flexibility in activities does not lead to suboptimal solutions, nor do activity constraints. However, uncertainty in processing times can adversely affect the optimal solutions across all objectives.

Published

2026-04-09

How to Cite

Shojaei, A., Jafari, D., & Khalaj, M. (2026). A Multi-Objective Model for Job Shop Flexible Scheduling Problem by Considering The Flexibility in Sequencing and Constraints of Activity in Uncertainty Condition. International Journal of Industrial Engineering: Theory, Applications and Practice, 33(2). https://doi.org/10.23055/ijietap.2026.33.2.11199

Issue

Section

Operations Research/Management Science