Transactions on Data Analysis in Social Science

Transactions on Data Analysis in Social Science

Material Requirements Planning with A Fuzzy Model

Document Type : Original Article

Authors
F. Asgari
M. Sargazi
S. M. Haji Molana
Department of industrial engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.
10.47176/TDASS/2021.14
Abstract
Material Requirements Planning (MRP) systems are inherently sensitive to various sources of uncertainty, which can significantly impact their effectiveness in production and inventory management. This study aims to address these challenges by developing a fuzzy multi-objective decision-making framework for MRP problems. Specifically, a fuzzy multi-objective linear programming (FMOLP) approach is proposed, incorporating fuzzy lead times (LTs) into the MRP model. In this framework, classical deterministic MRP models are integrated with the probabilistic distribution of possible lead times, allowing the system to account for the likelihood of each LT occurrence. An objective function is then formulated to maximize the overall probability of favorable LT realizations, providing a balanced trade-off among competing objectives. The initial MRP parameters are applied to this objective function, demonstrating that decision-makers, depending on their risk preferences, may accept certain low-probability LTs that enhance other performance measures, such as inventory levels or service rates. Numerical examples are presented to illustrate the applicability and effectiveness of the proposed model, highlighting its ability to accommodate uncertainty while supporting strategic and operational decision-making. The results indicate that the fuzzy multi-objective approach not only improves the robustness of MRP systems under uncertain conditions but also offers a practical decision-support tool for managers seeking to optimize multiple objectives simultaneously.
Keywords
Material requirements planning
Fuzzy planning
Fuzzy lead
Uncertainty
Itoh, T., Ishii, H., & Nanseki, T. (2003). A model of crop planning under uncertainty in agricultural management. International Journal of Production Economics, 81, 555-558. doi: 10.1016/S0925-5273(02)00283-9
Ho, C.-J. (1989). Evaluating the impact of operating environments on MRP system nervousness. International journal of production research, 27(7), 1115–1135. doi: 10.1080/00207548908942611.
Mula, J., Poler, R., García-Sabater, J. P., & Lario, F. C. (2006a). Models for production planning under uncertainty: A review. International Journal of Production Economics, 103(1), 271–285. doi:10.1016/j.ijpe.2005.09.001
Mula, J., Poler, R., García-Sabater, J. P., & Lario, F. C. (2006b). Models for production planning under uncertainty: A review. International Journal of Production Economics, 103(1), 271–285. doi:10.1016/j.ijpe.2005.09.001
Mula, J., Poler, R., & Garcia-Sabater, J. P. (2007). Material Requirement Planning with fuzzy constraints and fuzzy coefficients. Fuzzy Sets and Systems. An International Journal in Information Science and Engineering, 158(7), 783–793. doi:10.1016/j.fss.2006.11.003
Gupta, A., & Maranas, C. D. (2003). Managing demand uncertainty in supply chain planning. Computers & Chemical Engineering, 27(8–9), 1219–1227. doi:10.1016/s0098-1354(03)00048-6
Petkov, S. B., & Maranas, C. D. (1997). Multiperiod planning and scheduling of multiproduct batch plants under demand uncertainty. Industrial & Engineering Chemistry Research, 36(11), 4864–4881. doi:10.1021/ie970259z
Whybark, D. C., & Williams, J. G. (1976). Material requirements planning under uncertainty. Decision Sciences, 7(4), 595–606. doi:10.1111/j.1540-5915.1976.tb00704.x
Kira, D., Kusy, M., & Rakita, I. (1997). A stochastic linear programming approach to hierarchical production planning. The Journal of the Operational Research Society, 48(2), 207–211. doi:10.1038/sj.jors.2600340
Paraskevopoulos, D., Karakitsos, E., & Rustem, B. (1991). Robust capacity planning under uncertainty. Management Science, 37(7), 787–800. doi:10.1287/mnsc.37.7.787
Gfrerer, H., & Zäpfel, G. (1995). Hierarchical model for production planning in the case of uncertain demand. European Journal of Operational Research, 86(1), 142–161. doi:10.1016/0377-2217(95)00066-y
Escudero, L. F., Kamesam, P. V., King, A. J., & Wets, R. J.-B. (1993). Production planning via scenario modelling. Annals of Operations Research, 43(6), 309–335. doi:10.1007/bf02025089
Sodhi, M. S. (2009). Managing demand risk in tactical supply chain planning for a global consumer electronics company. Production and Operations Management, 14(1), 69–79. doi:10.1111/j.1937-5956.2005.tb00010.x
Dubois, D. J. (1980). Fuzzy sets and systems: theory and applications (Vol. 144). Academic press.
Zimmermann, H.-J. (2013). Fuzzy set theory-and its applications (3ο έκδ.). doi:10.1007/978-94-015-8702-0
Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment. Management Science, 17(4), B-141-B-164. doi:10.1287/mnsc.17.4.b141
Guiffrida, A. L., & Nagi, R. (1998). Journal of intelligent manufacturing, 9(1), 39–56. doi:10.1023/a:1008847308326
Pendharkar, P. C. (1997). A fuzzy linear programming model for production planning in coal mines. Computers & Operations Research, 24(12), 1141–1149. doi:10.1016/s0305-0548(97)00024-5
Kacprzyk, J., & Orlovski, S. A. (Eds.). (2013). Optimization models using fuzzy sets and possibility theory (Vol. 4). Springer Science & Business Media.
Díaz-Madroñero, M., Mula, J., & Jiménez, M. (2015). Material requirement planning under fuzzy lead times. IFAC-PapersOnLine, 48(3), 242–247. doi:10.1016/j.ifacol.2015.06.088
Miller, W. A., Leung, L. C., Azhar, T. M., & Sargent, S. (1997). Fuzzy production planning model for fresh tomato packing. International Journal of Production Economics, 53(3), 227–238. doi:10.1016/s0925-5273(97)00110-2
Gen, M., Tsujimura, Y., & Ida, K. (1992). Method for solving multiobjective aggregate production planning problem with fuzzy parameters. Computers & Industrial Engineering, 23(1–4), 117–120. doi:10.1016/0360-8352(92)90077-w
Hsu, H.-M., & Wang, W.-P. (2001). Possibilistic programming in production planning of assemble-to-order environments. Fuzzy Sets and Systems. An International Journal in Information Science and Engineering, 119(1), 59–70. doi:10.1016/s0165-0114(99)00086-x
Lodwick, W. A., & Bachman, K. A. (2005). Solving large-scale fuzzy and possibilistic optimization problems. Fuzzy Optimization and Decision Making. A Journal of Modeling and Computation under Uncertainty, 4(4), 257–278. doi:10.1007/s10700-005-3663-4
Wang, R.-C., & Fang, H.-H. (2001). Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research, 133(3), 521–536. doi:10.1016/s0377-2217(00)00196-x
Wang, R.-C., & Liang, T.-F. (2005a). Applying possibilistic linear programming to aggregate production planning. International Journal of Production Economics, 98(3), 328–341. doi:10.1016/j.ijpe.2004.09.011
Mula, J., Poler, R., & Garcia, J. P. (2006). MRP with flexible constraints: A fuzzy mathematical programming approach. Fuzzy Sets and Systems. An International Journal in Information Science and Engineering, 157(1), 74–97. doi:10.1016/j.fss.2005.05.045
Transactions on Data Analysis in Social Science
Volume 3, Issue 1
2021
Pages 14-22

  • Receive Date 03 December 2020
  • Revise Date 07 January 2021
  • Accept Date 02 March 2021