- 期刊
Optimization of Fuzzy Integrated Inventory Model with Ordering Cost Reduction Dependent on Lead Time
摘要
The intellectual and industrial design of a complex inventory system becomes a vital issue for the organization of responsiveness to uncertainties. The parameters involved in inventory model are likely to be varied due to the fluctuating business environment. Therefore, it will be more realistic apply fuzzy model rather than crisp model. This paper derives a single-vendor and a single-buyer integrated inventory model with ordering cost reduction dependent on lead time in a fuzzy environment. In this model, buyer and vendor cost parameters are uncertainties which necessitate the use of trapezoidal fuzzy numbers. The purpose of this model is to determine the minimum integrated total cost and optimal order quantity in the fuzzy scenario. There are two mathematical inventory models proposed in this paper. Initially, a crisp model is developed with fuzzy total inventory cost along with crisp optimal order quantity. Next, the fuzzy model is formulated with fuzzy total inventory cost and fuzzy optimal order quantity. Graded mean integration formula is employed to defuzzify the total inventory cost and the extension of the Lagrangian method is used to determine the optimal order quantity. An algorithm is developed to obtain the optimal order quantity and minimum integrated total cost. The comparison of a fuzzy inventory model with the conventional crisp inventory model is made through numerical examples. This proposed fuzzy model is also compared with some specific cases of the previous models. Finally, the graphical representation is presented to demonstrate the proposed model. The result illustrates that this fuzzy model can be quite useful in determining the optimal order quantity and minimum integrated total cost procedure when the lead time is analysed.
延伸閱讀
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