Optimal Allocation of Lifting Workload Using MILP Model under Time and Ergonomic Constraints

Main Article Content

Kittipong Srisawat
Prachuab Klomjit
Tanisa Nootawee

Abstract

This study aims to develop an optimal workload allocation model for manual lifting tasks by applying a Mixed Integer Linear Programming (MILP) framework under the Deterministic Allocation concept. The objective is to enhance operational efficiency while minimizing ergonomic risks in repetitive lifting activities. Experimental data were collected from ten volunteers in a controlled laboratory environment. Each participant performed repetitive lifting tasks of 10 kg objects, while video recordings were used to analyze time duration and postural behavior in each lifting phase. The ergonomic risk level was assessed using the Rapid Upper Limb Assessment (RULA) method. The results showed that the average lifting cycle time was 7.17 seconds, and the overall RULA scores indicated a moderate risk level. The MILP model was then applied to determine optimal workload allocation under three scenarios: (A) minimum total ergonomic load, (B) fair distribution, and (C) equal distribution. The findings revealed that scenario A achieved the lowest total risk but lacked fairness, while scenario B provided a balanced allocation between efficiency and equity. Scenario C demonstrated practicality for real applications requiring ease of management. Sensitivity analysis ±10% confirmed the model’s robustness and low sensitivity to parameter variations. Overall, the study highlights that MILP can serve as a quantitative decision-making framework for designing safe, ergonomic, and efficient lifting workload allocation policies.

Article Details

How to Cite
[1]
K. Srisawat, P. Klomjit, and T. Nootawee, “Optimal Allocation of Lifting Workload Using MILP Model under Time and Ergonomic Constraints”, RMUTP Sci J, vol. 20, no. 1, pp. 104–117, Jun. 2026.
Section
บทความวิจัย (Research Articles)

References

V. C. H. Chan, G. B. Ross, A. L. Clouthier, S. L. Fischer, and R. B. Graham, “The role of machine learning in the primary prevention of work-related musculoskeletal disorders: A scoping review,” Applied Ergonomics, vol. 98, 2022.

K. Wachirasiri and S. Taptagaporn, “Work Improvement to Reduce Fatigue and Postural Risk: A Case Study of Workers in a Joint Assembly Process,” Thai Journal of Ergonomics, vol. 1, no. 1, pp. 1–7, 2017.

K. Sahunalu and P. Sakunkoo, “Ergonomic Risk Assessment by RULA in Drinking Water Plants Staffs in Chalomephakiat District, Buriram Province,” KKU Research Journal (Graduate Studies), vol. 20, no. 3, pp. 137-144, 2020.

N. Laowanich, P. Meepradit, and T. Yingratanasuk, “Applying Participatory Ergonomics to Improve Working Condition for Reducing Shoulder Risk among Supporting Personnel in a Hospital, Chonburi Province,” Journal of Safety and Health, vol. 15, no. 2, 2022.

N. Singchai, “The effectiveness of ergonomic workstation improvements on stone setters in one jewelry manufacture,” M.S. thesis, Dept. Public Health, Thammasat Univ., Pathum Thani, Thailand, 2022.

R. Zaman, A. Arefeen, J. Quarnstrom, S. Barman, J. Yang, and Y. Xiang, “Optimization-based biomechanical lifting models for manual material handling: A comprehensive review,” Proceeding of the Institution of Mechanical Engineerings Part H Journal of Engineering in Medicine, vol. 236, no. 9, pp. 1273–1287, 2022.

T. Prunet, N. Absi, V. Borodin, and D. Cattaruzza “Optimization of human-aware logistics and manufacturing systems: A survey on Human-Aware Models,” Euro Journal on Transportion and Logistics, vol. 13, 2024.

C. Greggi, V. V. Visconti, M. Albanese, B. Gasperini, A. C. C. Prezioso, B. Persechino, S. Iavicoli, E. Gasbarra, R. Iundusi, and U. Tarantino, “Work-Related Musculoskeletal Disorders: A systematic review,” Journal of Clinical Medicine, vol. 13, no. 13, 2024.

A. Vuttikun, C. Chanprasit, and T. Kaewthummanukul, “Ergonomic Factors and Musculoskeletal Disorders Among Bamboo Handicraft Workers,” Nursing Journal CMU, vol. 47, no. 2, pp. 37–49, 2020.

F. Liu, Y. Duan, Z. Wang, R. Ling, Q. Xu, J. Sun, Y. Liu, Y. Yang, G. Li, H. Zhang, D. Li, R. Wang, J. Liu, X. Geng, W. Xiong, Z. Li, N. Jia, and C. Wu, “Mixed adverse ergonomic factors exposure in relation to work-related musculoskeletal disorders: A multicenter cross-sectional study of Chinese medical personnel,” Scientific Reports, voi. 15, 2025.

National Institute for Occupational Safety and Health, “Revised NIOSH lifting equation,” [Online]. https://www.cdc.gov/niosh/ergonomics/about/RNLE.html [Accessed: Mar. 1, 2024].

N. Yodyingnakchaiyakron, “Prevalence and Work-Related Musculoskeletal Discomfort Related Factors Among Thai Gas Employees in Samut Sakhon Province,” EAU Heritage Journal Science and Technology, vol. 14, no. 3, pp. 213–225, 2020.

L. McAtamney and E. N. Corlett, “RULA: a survey method for the investigation of work related upper limb disorders,” Applied Ergonomics, vol. 24, no. 2, pp. 91–99, 1993.

S. Kulwong, “Occupational Back Pain: NIOSH Assessment Tool for Prevention,” The Public Health Journal of Burapha University, vol. 3, no. 2, pp. 32–45, 2008.

T. R. Waters, V. Putz-Anderson, and A. Garg, Applications Manual for the Revised NIOSH Lifting Equation. Cincinnati, OH, USA: U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, National Institute for Occupational Safety and Health, DHHS (NIOSH) Publication No. 94-110, 1994, rev. Sep. 2021, doi: 10.26616/NIOSHPUB94110revised092021.

EST Thailand, “Rapid Upper Body Assessment (RULA) [Assessment of Sitting Posture at Work],” [Online]. Available: https://sites.google.com/est.or.th/est/home [Accessed: Sep. 5, 2025].

A. K. Saha, M. A. Jahin, M. Rafiquzzaman, and M. F. Mridha, “Ergonomic design of computer laboratory furniture: Mismatch analysis utilizing anthropometric data of university students,” Heliyon, vol. 10, no. 14, 2024.

H. V. Mahmoodian, H. Charkhgard, and Y. Zhang, “Multi-objective optimization based algorithms for solving mixed integer linear minimum multiplicative programming problems,” Computers & Operations Research, vol. 128, 2021.

A. Jaber, R. Younes, P. Lafon, and J. Khoder, “A review on multi-objective mixed-integer non-linear optimization programming methods,” Engineering, vol. 5, no. 3, pp. 1961–1979, 2024.

I. Pappas , S. Avraamidou, J. Katz, B. Burnak, B. Beykal, M. Türkay, and E. N. Pistikopoulos, “Multiobjective Optimization of Mixed-Integer Linear Programming Problems: A Multiparametric Optimization Approach,” Industrial & Engineering Chemistry Research, vol. 23, no. 60, 2021.

M. Rinaldi, M. Fera, E. Bottani, and E. H. Grosse, “Workforce scheduling incorporating worker skills and ergonomic constraints,” Computers & Industrial Engineering, vol. 168, 2022.

R. A. Pozo and J. B. Valhondo, “Impact of limiting the ergonomic risk on the economic and productive efficiency of an assembly line,” International Journal of Production Research, vol. 62, no. 1–2, pp. 122–140, 2023.

S. J. Wurzelbacher, M. P. Lampl, S. J. Bertke, and C. Y. Tseng, “The effectiveness of ergonomic interventions in material handling operations,” Applied Ergonomics, vol. 87, 2020.

Thailand Institute of Occupational Safety and Health (Public Organization), Ergonomics Standard on Manual Materials Handling (SHS 302:2018), [Online]. Available: https://www.tosh.or.th/. [Accessed: Sep. 5, 2025].

S. Huaychan and S. Chaiklieng, “Ergonomic Risk Assessment of Work-Related Musculoskeletal Disorders among Employees in the Steel Roll Roof Forming Industry, Thailand,” KKU Journal for Public Health Research, vol. 12, no. 2, pp. 85–90, 2019.

S. Klomsae and R. Roonreangjai, “Ergonomics Assessment in Improving the Work for the Winding Process,” Journal of Technology and Innovation Uttaradit Rajabhat University, vol. 2, no. 2, pp. 11–22, 2019.

E. H. Özder, “A Holistic Model for Ergonomic and Sustainable Personnel Scheduling in Urban Transportation,” Processes, vol. 13, no. 3, 2025.