||A study of some production inventory models under generalized trade credit
||Doctoral Program, Department of Management Sciences
production and inventory
||Inventory management is an operation and management model in which enterprise managers master the right items, at the right time, in the right quantity, and effectively integrate the upstream and downstream operation processes to earn maximum profit or pay minimum cost. To do a good job in inventory management, many practical issues need to be considered. For example, in the actual business transaction, to attract new customers or increase the order quantity, the supplier usually allows the retailer to pay for the goods after a period of time. In addition, if the item is defective or lacks freshness due to deterioration or decay, the demand will decline.
In the face of fierce market competition and rapid changes in the production and marketing environment, enterprises must try to reduce defective products, improve quality, and improve overall operational efficiency through the integration of supply chain systems. However, reducing defective products or improving quality requires investment. If the investment amount is huge, it will reduce the supplier’s willingness invest. Thinking from the perspective of supply chain management, if the members of the supply chain can agree to share the capital investment to improve the production process or equipment, it not only can promote the supplier’s willingness to invest but also can save the retailer’s cost of the goods received without inspection as the proportion of defective products drops to a certain level or below.
When the production cost is high or the purchase amount is large, the supplier will ask the retailer to pay a part of the amount in advance to ensure the order fulfillment; then, he will pay a part of purchase fee as receiving the items, and the remaining payment is allowed to be paid off after a period of credit transaction without interest. This generalized credit transaction procedure is called 'Advance-Cash-Credit payments'.
This dissertation studies some inventory models utilizing the condition that suppliers provide credit transactions. In Chapter 2, it discusses the supply chain production and inventory system where the supplier provides two-part trade credit policy conditions, the goods contain defective products and the shortages are allowed. The proposed model assumes that if the retailer's order quantity exceeds the specified threshold, then all transportation costs are absorbed by the suppliers themselves; otherwise, they are paid by the retailers. Chapter 3 considers the inventory problem of deteriorating items with stock-and price-dependent demand under Advance-Cash-Credit payments. Additionally, the retailer also provides trade credit to its customers, and there is limited space for the display space of items on the shelves. Chapter 4 mainly develops the supply chain production and inventory model with defective products when the supplier provides the retailer Advance-Cash-Credit payments and the retailer also provides trade credit to its customers. In the model, the rate of defective goods can be reduced by the joint investment of both the supplier and retailer. For the above chapters, we establish appropriate mathematical models by measurement method, and obtain the optimal production and ordering strategies (Chapter 2); the optimal pricing and ordering strategies (Chapter 3) and optimal investing, production and ordering strategies (Chapter 4) to maximize the corresponding total profits. Each chapter separately illustrates the solution process and sensitivity analysis to understand the impact of changes of parameters on the optimal solution. Finally, Chapter 5 presents the conclusions and future research directions of this study.
第1章 緒論 1
1.1 研究動機與目的 1
1.2 文獻探討 3
1.2.1 信用交易 4
1.2.2 供應鏈 4
1.2.3 不良品 5
1.2.4 退化性物品 7
1.3 本文所建立的模型和相關研究之比較 8
1.4 結構 11
第2章 二選一信用交易條件下物品中有不良品並且允許缺貨的最佳生產與訂購策略 13
2.1 符號與假設 13
2.1.1 符號 13
2.1.2 假設 14
2.2 模型的建立 15
2.2.1 問題描述 15
2.2.2 供應商的利潤函數 16
2.2.3 零售商的利潤函數 18
2.2.4 供應鏈的總利潤函數 24
2.3 模型求解 25
2.4 數值範例 31
2.5 小結 36
第3章 預付-現金-信用交易條件下關於需求與存貨水準及售價有關的退化性物品之存貨模型 38
3.1 符號與假設 38
3.1.1 符號 38
3.1.2 假設 39
3.2 模型的建立 39
3.2.1 問題描述 39
3.2.2 零售商的單位時間總利潤函數 40
3.3 模型求解 49
3.4 數值範例 51
3.5 小結 56
第4章 考慮品質改善的投資與預付-現金-信用交易條件之整合存貨模型 58
4.1 符號與假設 58
4.1.1 符號 58
4.1.2 假設 59
4.2 模型的建立 60
4.2.1 問題描述 60
4.2.2 零售商單位時間的利潤函數 61
4.2.3 供應商單位時間的利潤函數 66
4.2.4 供應鏈單位時間的整合總利潤函數 69
4.3 模型求解 70
4.4 數值範例 80
4.5 小結 87
第5章 結論 88
5.1 主要研究成果 88
5.2 未來研究方向 91
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