A Mixed Integer Nonlinear Programming for Facility Layout Problem with Maintenance Constraints
الموضوعات :
Mehdy Morady Gohareh
1
,
Ehsan Mansouri
2
1 - Assistant Professor, Department of Industrial Engineering, Arak University, Arak, Iran
2 - Assistant Professor, Department of Industrial Engineering, Arak University, Arak, Iran
تاريخ الإرسال : 16 الإثنين , ربيع الأول, 1442
تاريخ التأكيد : 17 الأربعاء , ربيع الثاني, 1442
تاريخ الإصدار : 15 الأحد , ربيع الأول, 1442
الکلمات المفتاحية:
Multi-objective,
Location,
accessibility,
MINLP,
Single-floor,
ملخص المقالة :
The facility layout problem (FLP) is a well-known optimization problem that seeks to arrange the layout of production units or facilities generally towards less cost and considering some adjacency factor between the facilities. The adjacency factor mainly represents the material handling costs. In this research, a novel multi-objective mixed integer nonlinear programming (MINLP) model for the single-floor facility layout problem is developed. The model, unlike the current literature, considers some maintenance measures in addition to the classical adjacency factor. Firstly, some facilities need a certain amount of maintenance space around them. If this space is violated, some penalty would apply. Secondly, some facilities could have emergency maintenance requirements for which easy access from the entrance edges is necessary. This accessibility measure is optimized in the model. The validity of the proposed MINLP model is analyzed via simulation. The results show that if material handling costs are minimized, the maintenance measures will deviate approximately 100% of their optimal values. Moreover, if maintenance measures are optimized, the material handling cost will deviate around 50% of its optimal value. Both, classic and maintenance related measures show more sensitivity in dense and crowded production environments.
المصادر:
[1] Pillai, V. , Hunagund, I. B. and Krishnan, K. K. 2011. Design of robust layout for dynamic plant layout problems. Computers & Industrial Engineering. 61(3): 813-823.
[2] Ahmadi, A., Pishvaee, M. and Jokar, M. R. A. 2017. A survey on multi-floor facility layout problems. Computers & Industrial Engineering. 107: 158-170.
[3] Huang, H. , May, M. D., Huang, H. M. and Huang, Y. W. 2010. July. Multiple-floor facilities layout design. In Proceedings of 2010 IEEE International Conference on Service Operations and Logistics, and Informatics. SOLI: 165-170.
[4] Francis, R. , McGinnis, L. F. and White, J. A. 1992. Facility layout and location: an analytical approach. Pearson College Division.
[5] See, P. and Wong, K. Y. 2008. Application of ant colony optimisation algorithms in solving facility layout problems formulated as quadratic assignment problems: a review. International Journal of Industrial and Systems Engineering. 3(6): 644-672.
[6] Luo, X., Yang, Y. , Ge, Z. X., Wen, X. S. and Guan, F. J. 2014. Layout problem of multi-component systems arising for improving maintainability. Journal of Central South University. 21(5): 1833-1841.
[7] Military Handbook, DOD-HDBK-791 (AM). 2005. Maintainability Design Techniques. Department of Defense: USA.
[8] Song, S., Li, Q., Felder, F. , Wang, H. and Coit, D. W. 2018. Integrated optimization of offshore wind farm layout design and turbine opportunistic condition-based maintenance. Computers & Industrial Engineering. 120: 288-297.
[9] Vitayasak, S., Pongcharoen, P. and Hicks, C. 2019. Robust machine layout design under dynamic environment: dynamic customer demand and machine maintenance. Expert Systems with Applications: X. 3:100015.
[10] Németh, I., Püspöki, J., Viharos, A.B., Zsóka, L. and Pirka, B. 2019. Layout configuration, maintenance planning and simulation of AGV based robotic assembly systems. IFAC-PapersOnLine, 52(13): 1626-1631.
[11] Astariz, S., Abanades, J., Perez-Collazo, C. and Iglesias, G. 2015. Improving wind farm accessibility for operation & maintenance through a co-located wave farm: Influence of layout and wave climate. Energy Conversion and Management, 95: 229-241.
[12] Daskin, M. 2011. Network and discrete location: models, algorithms, and applications. John Wiley & Sons.
[13] Yaghin, R. , Sarlak, P. and Ghareaghaji, A. A. 2020. Robust master planning of a socially responsible supply chain under fuzzy-stochastic uncertainty (A case study of clothing industry). Engineering Applications of Artificial Intelligence. 94:103715.