Material Requirements Planning with A Fuzzy Model

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.

کلیدواژه ها:

Material requirements planning ، fuzzy planning ، Fuzzy lead ، Uncertainty