Optimizing Supply Chain Design under Demand Uncertainty with Quantity Discount Policy

Jung-Fa Tsai, Peng-Nan Tan, Nguyen-Thao Truong, Dinh-Hieu Tran and Ming-Hua Lin ()
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Jung-Fa Tsai: Department of Business Management, National Taipei University of Technology, Taipei 106344, Taiwan
Peng-Nan Tan: Department of Business Management, National Taipei University of Technology, Taipei 106344, Taiwan
Nguyen-Thao Truong: Department of Business Management, National Taipei University of Technology, Taipei 106344, Taiwan
Dinh-Hieu Tran: Department of Business Management, National Taipei University of Technology, Taipei 106344, Taiwan
Ming-Hua Lin: Department of Urban Industrial Management and Marketing, University of Taipei, Taipei 111036, Taiwan

Mathematics, 2024, vol. 12, issue 20, 1-16

Abstract: In typical business situations, sellers usually offer discount schemes to buyers to increase overall profitability. This study aims to design a supply chain network under uncertainty of demand by integrating an all-unit quantity discount policy. The objective is to maximize the profit of the entire supply chain. The proposed model is formulated as a mixed integer nonlinear programming model, which is subsequently linearized into a mixed integer linear programming model and hence able to obtain a global solution. Numerical examples in the manufacturing supply chain where customer demand follows normal distributions are used to assess the effect of quantity discount policies. Key findings demonstrate that the integration of quantity discount policies significantly reduces total supply chain costs and improves inventory management under demand uncertainty, and decision makers need to decide a balance level between service levels and profits.

Keywords: supply chain design; optimization; demand uncertainty; quantity discount (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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