Fuzzy set theoretic interpretation of economic order quantity
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy inventory with backorder for fuzzy order quantity
Information Sciences: an International Journal
Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy mathematical programming
Fuzzy models for single-period inventory problem
Fuzzy Sets and Systems
An inventory model for single-period products with reordering opportunities under fuzzy demand
Computers & Mathematics with Applications
Newspaper demand prediction and replacement model based on fuzzy clustering and rules
Information Sciences: an International Journal
A periodic review inventory model involving fuzzy expected demand short and fuzzy backorder rate
Computers and Industrial Engineering
Optimal models for single-period supply chain problems with fuzzy demand
Information Sciences: an International Journal
Newsvendors Under Simultaneous Price and Inventory Competition
Manufacturing & Service Operations Management
Information Sciences: an International Journal
Supply chain coordination for fuzzy random newsboy problem with imperfect quality
International Journal of Approximate Reasoning
TECHNICAL NOTE---Robust Newsvendor Competition Under Asymmetric Information
Operations Research
Competitive newsvendor problems with the same Nash and Stackelberg solutions
Operations Research Letters
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Newsboy models have wide applications in solving real-world inventory problems. This paper analyzes the optimal inventory policy for the single-order newsboy problem with fuzzy demand and quantity discounts. The availability of the quantity discount causes the analysis of the associated model to be more complex, and the proposed solution is based on the ranking of fuzzy numbers and optimization theory. By applying the Yager ranking method, the fuzzy total cost functions with different unit purchasing costs are transformed into convex, piecewise nonlinear functions. By proving certain properties of the ranking index of the fuzzy total cost, several possible cases are identified for investigation. After analyzing the relative positions between the price break and the minimums of these nonlinear functions, the optimal inventory policies are provided and closed-form solutions to the optimal order quantities are derived. Several cases of a numerical example are solved to demonstrate the validity of the proposed analysis method. The advantage of using the proposed approach is also demonstrated by comparing it to the classic stochastic approach. It is clear that the proposed methodology is applicable to other cases with different types of quantity discounts and more complicated cases.