scholarly journals Single-Manufacturer Multi-Retailer Supply Chain Models with Discrete Stochastic Demand

2021 ◽  
Vol 13 (15) ◽  
pp. 8271
Author(s):  
Yaqing Xu ◽  
Jiang Zhang ◽  
Zihao Chen ◽  
Yihua Wei
Keyword(s):  
Dynamic Programming ◽  
Supply Chain ◽  
Computational Complexity ◽  
Stackelberg Game ◽  
Programming Model ◽  
Dynamic Programming Method ◽  
Game Model ◽  
Chain Model ◽  
Stochastic Demands ◽  
Demand Models

Although there are highly discrete stochastic demands in practical supply chain problems, they are seldom considered in the research on supply chain systems, especially the single-manufacturer multi-retailer supply chain systems. There are no significant differences between continuous and discrete demand supply chain models, but the solutions for discrete random demand models are more challenging and difficult. This paper studies a supply chain system of a single manufacturer and multiple retailers with discrete stochastic demands. Each retailer faces a random discrete demand, and the manufacturer utilizes different wholesale prices to influence each retailer’s ordering decision. Both Make-To-Order and Make-To-Stock scenarios are considered. For each scenario, the corresponding Stackelberg game model is constructed respectively. By proving a series of theorems, we transfer the solution of the game model into non-linear integer programming model, which can be easily solved by a dynamic programming method. However, with the increase in the number of retailers and the production capacity of manufacturers, the computational complexity of dynamic programming drastically increases due to the Dimension Barrier. Therefore, the Fast Fourier Transform (FFT) approach is introduced, which significantly reduces the computational complexity of solving the supply chain model.

scholarly journals Pricing Policies in a Retailer Stackelberg O2O Green Supply Chain

2020 ◽  
Vol 12 (8) ◽  
pp. 3236
Author(s):  
Gan Wan ◽  
Gang Kou ◽  
Tie Li ◽  
Feng Xiao ◽  
Yang Chen
Keyword(s):  
Supply Chain ◽  
Stackelberg Game ◽  
Good Combination ◽  
Green Supply Chain ◽  
Game Model ◽  
Mathematical Function ◽  
Pricing Strategies ◽  
Direct Channel ◽  
Retail Channel ◽  
Offline Channels

Due to the popularization of the concept of “new retailing”, we study a new commercial model named O2O (online-to-offline), which is a good combination model of a direct channel and a traditional retail channel. We analyze an O2O supply chain in which manufacturers are responsible for making green products and selling them through both online and offline channels. The retailer is responsible for all online and offline channels’ orders, and the manufacturer gives the retailer a fixed fee. We construct a mathematical function model and analyze the greenness and pricing strategies of centralized and decentralized settings through the retailer Stackelberg game model. Due to the effects of the double marginalization of supply chain members, we adopt a simple contract to coordinate the green supply chain. The paper’s contributions are that we obtain pricing and greening strategies by taking the cooperation of offline channels and online channels into consideration under the O2O green supply chain environment.

Revenue Sharing Contract of Green Supply Chain under Manufacturer Risk-Aversion

2014 ◽  
Vol 697 ◽  
pp. 482-487
Author(s):  
Shi Ying Jiang ◽  
Chun Yan Ma
Keyword(s):  
Decision Making ◽  
Supply Chain ◽  
Risk Aversion ◽  
Stackelberg Game ◽  
Wholesale Price ◽  
Revenue Sharing ◽  
Green Supply Chain ◽  
Game Model ◽  
Product Price ◽  
Revenue Sharing Contract

Background on two stages green supply chain consisting of a manufacturer and a retailer, considering the degree of risk aversion and product greenness, consumer preferences and other factors, the centralized decision-making game model and manufacturer-leading Stackelberg game model are established.Then two game models are compared. The interaction of product greenness, wholesale price, product price,and risk aversion utility for manufacturers and retailers are also disscussed. Finally, the revenue sharing contract is applied to coordinate the green supply chain . The results show that:(1) In the centralized decision-making model, there is a critical value of the product green degree; (2)In manufacturer-leading Stackelberg game model, the higher the green degree of the product, the higher the manufacturer's wholesale price,and the wholesale price increases as risk aversion degree of manufacturers improves;(3)The revenue sharing contract can coordinate this type of green supply chain under manufacturers risk-averse.

scholarly journals Research on Pricing Decision of Direct Sales Green Supply Chain Based on Consumers’ Valuation

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Yong-Gang Ye ◽  
Xiao-Feng Liu
Keyword(s):  
Supply Chain ◽  
Simulation Analysis ◽  
Stackelberg Game ◽  
Game Model ◽  
Direct Sales ◽  
Equilibrium Prices ◽  
Theoretical Support ◽  
Pricing Decision ◽  
Negative Effect ◽  
Product Valuation

Consumer’s valuation of merchandise is an important factor affecting consumer buying behavior. When the consumer’s valuation exceeds the price of product, the consumer generally makes a decision to purchase the product; conversely, when the consumer’s estimate is lower than the price of product, the consumer will usually refuse to buy the product. From the perspective of consumer product valuation, this study assumed that the consumer’s product valuation obeys a uniform distribution, and a novel consumer demand function was proposed. On this basis, we studied enterprises’ pricing decisions in the supply chain of green agricultural products and obtained the equilibrium prices and optimal profits of the enterprises in several different scenarios, including Vertical Nash game model (VNM), firm A Stackelberg game model (FASM), firm B Stackelberg game model (FBSM), and cooperative game model (CM). In addition, the influence of parameters, such as green level, green preference payment coefficient, and green cost on the optimal profit, was discussed based on game theory and numerical simulation analysis. It was found that equilibrium prices always existed in several different scenarios, and when consumer’s green preference payment coefficient was large enough, the optimal profit of firm B was greater than the optimal profit of firm A. Furthermore, in CM, the sum of optimal profit of firm A and optimal profit of firm B is maximum for four scenarios. Finally, in the three competitive scenarios, green level, green preference payment coefficient, and green cost, have a positive or negative effect on the optimal profits of firm A or firm B. The research conclusions of this study provided theoretical support for the decision-making of enterprises and related management departments.

scholarly journals Supply Chain Decisions and Coordination under the Combined Effect of Overconfidence and Fairness Concern

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Zhang Zhijian ◽  
Peng Wang ◽  
Miyu Wan ◽  
Junhua Guo ◽  
Jian Liu
Keyword(s):  
Supply Chain ◽  
Stackelberg Game ◽  
Supply Chain Coordination ◽  
Joint Effect ◽  
Optimal Order ◽  
Chain Model ◽  
Order Quantity ◽  
Supply Chain Model ◽  
Fairness Concerns ◽  
Fairness Concern

The purpose of this study was to examine the joint effect of overconfidence and fairness concern on supply chain decisions and design contracts to achieve a win-win situation within the supply chain. For this study, a centralized supply chain model was established without considering the retailers’ overconfidence and fairness concern. Furthermore, the retailers’ overconfidence and fairness concerns were introduced into the decentralized supply chain, while the Stackelberg game model between the manufacturer and the retailer was built. Furthermore, an innovative supply chain contract, i.e., buyback contract, with promotional cost sharing was designed to achieve supply chain coordination along with overconfidence and fairness concern. Finally, a numerical analysis was also conducted to analyze the effect of overconfidence, fairness concern, and the validity of the contract. The principal findings of the study include the positive correlation between retailers’ overconfidence and optimal order quantity, sales effort, expected utility, and profit. Although the order quantity and sales efforts were not affected by the fairness concern of the retailer, the contract achieved coordination with a win-win outcome when the level of overconfidence and fairness concern was moderate.

scholarly journals Pricing Strategies of a Three-Stage Supply Chain: A New Research in the Big Data Era

2017 ◽  
Vol 2017 ◽  
pp. 1-16
Author(s):  
Pan Liu
Keyword(s):  
Big Data ◽  
Supply Chain ◽  
Stackelberg Game ◽  
Chain Model ◽  
Pricing Strategies ◽  
Supply Chain Model ◽  
Investment Cost ◽  
New Research ◽  
New Situation ◽  
Big Data Technology

In the Big Data era, Data Company as the Big Data information (BDI) supplier should be included in a supply chain. In the new situation, to research the pricing strategies of supply chain, a three-stage supply chain with one manufacturer, one retailer, and one Data Company was chosen. Meanwhile, considering the manufacturer contained the internal and external BDI, four benefit models about BDI investment were proposed and analyzed in both decentralized and centralized supply chain using Stackelberg game. Meanwhile, the optimal retail price and benefits in the four models were compared. Findings are as follows. (1) The industry cost improvement coefficient, the internal BDI investment cost of the manufacturer, and the added cost of the Data Company on using Big Data technology have different relationships with the optimal prices of supply chain members in different models. (2) In the retailer-dominated supply chain model, the optimal benefits of the retailer and the manufacturer are the same, and the optimal benefits of the Data Company are biggest in all the members.

scholarly journals Study on Emission Reduction Strategies of Dual-Channel Supply Chain Considering Green Finance

2021 ◽  
Vol 9 ◽  
Author(s):  
Cheng Che ◽  
Yi Chen ◽  
Xiaoguang Zhang ◽  
Liangyan Zhao ◽  
Peng Guo ◽  
...  
Keyword(s):  
Supply Chain ◽  
Emission Reduction ◽  
Stackelberg Game ◽  
Chain Model ◽  
Carbon Trading ◽  
Dual Channel ◽  
Green Finance ◽  
Emission Reduction Strategies ◽  
Dual Channel Supply Chain ◽  
The Impact

As a weapon for economic development, green finance plays an important supporting and promoting role in the economic recovery and transformation of enterprises in the post-epidemic era. By constructing a dual-channel supply chain model, this paper considers two situations in which manufacturers participate in carbon trading and green finance loans, and uses Stackelberg game to study the impact of different situations on participants’ profits and emission reduction decisions. The results show that: under the carbon trading mechanism, the carbon emission reduction level of the manufacturer is inversely proportional to the relevant price, and the demand and profit of the two channels increase with the increase in emission reduction; when carbon trading and green financial loans are carried out at the same time, participants have lower profits, but with the increase in emission reductions, it is still a growing trend.

scholarly journals Research on the supply chain model based on the differentiation of green agricultural products

2018 ◽  
Vol 232 ◽  
pp. 02012
Author(s):  
Hui Su ◽  
Yuquan Cui ◽  
Bingjie Liu
Keyword(s):  
Supply Chain ◽  
Utility Function ◽  
Stackelberg Game ◽  
Supply Chain Coordination ◽  
Wholesale Price ◽  
Agricultural Products ◽  
Coordination Mechanism ◽  
Optimal Decision ◽  
Quality Level ◽  
Chain Model

This paper studies the supply chain of green agricultural products with "agricultural super docking" mode based on the different management. The "agricultural super docking" mode is a direct connection between supermarkets and farmers (or cooperatives), what the supermarket needs and what the farmers produce. The green degree is used to indicate the quality level of health, safety and nutrition of agricultural products. The greater the green degree is, the better the quality of agricultural products is. In order to meet the needs of all consumers, the supermarket decide to carry out different management. That is to say, supermarket sells ordinary agricultural products and green agricultural products at the same time. This paper gives the consumer utility function for ordinary agricultural products and green agricultural products separately. We analyze the consumers’ choice behaviors based on the consumer utility function .We discuss the optimal decision of supermarket choosing one farmer and supermarket choosing two farmers based on Stackelberg game. It can be seen from the comparison that supermarket can get more profits when it chooses two farmer to order separately. Finally, a "wholesale price + ordering subsidy" coordination mechanism is proposed to realize supply chain coordination. .

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