scholarly journals Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1725
Author(s):  
Beatriz Abdul-Jalbar ◽  
Roberto Dorta-Guerra ◽  
José M. Gutiérrez ◽  
Joaquín Sicilia

Trade credit is a crucial source of capital particularly for small businesses with limited financing opportunities. Inventory models considering trade credit financing have been widely studied. However, while there is extensive research on the single-vendor single-buyer inventory model allowing delays in payments, the systems where the vendor supplies to more than one buyer have received less attention. In this paper, we analyze a two-echelon inventory system where a single vendor supplies an item to two buyers who face a constant deterministic demand. The vendor produces the items at a finite rate and offers the buyers a delay payment period. That is, the buyers can delay the payment for the purchased items until the end of the credit period. Therefore, during such a period, the buyers sell the items and use the sales revenue to earn interest. At the end of the credit period, the buyers should pay the purchasing cost to the vendor for which external funding may be necessary. It is widely accepted that, in general, centralized policies reduce the total cost of the supply chain. Therefore, we first deal with an integrated model assuming that the vendor and the buyers make decisions jointly. However, in some cases, the buyers are not willing to collaborate, and the management of the supply chain has to be carried out in a decentralized manner. Hence, we also address the problem under a non-cooperative setting. Numerical examples are presented to illustrate both models. Additionally, we perform a computational experiment to compare both strategies, and a sensitivity analysis of the parameters is also carried out. From the results, we derived that, in general, it was more profitable to follow the integrated policy excepting when the replenishment costs for the buyers were high. Finally, in order to validate the computational results, a statistical analysis is performed.

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Sung Jun Kim ◽  
Biswajit Sarkar

This model extends a two-echelon supply chain model by considering the trade-credit policy, transportations discount to make a coordination mechanism between transportation discounts, trade-credit financing, number of shipments, quality improvement of products, and reduced setup cost in such a way that the total cost of the whole system can be reduced, where the supplier offers trade-credit-period to the buyer. For buyer, the backorder rate is considered as variable. There are two investments to reduce setup cost and to improve quality of products. The model assumes lead time-dependent backorder rate, where the lead time is stochastic in nature. By using the trade-credit policy, the model gives how the credit-period would be determined to achieve the win-win outcome. An iterative algorithm is designed to obtain the global optimum results. Numerical example and sensitivity analysis are given to illustrate the model.


Author(s):  
Z. H. Aliyu ◽  
B. Sani

In this study, we developed an inventory system model under two – level trade credit where the supplier considers the retailer as credit risk but the retailer considers the customers as credit worthy. Therefore, the retailer is given a trade credit period on  proportion of the goods ordered whenever he/she pays for proportion of the goods immediately after delivery. In the same vein, the retailer passes the same grace to the customers but without attaching any condition as the customers are assumed credit worthy. This partial upstream trade credit is offered to reduce the risk of failure in payment on the business transaction especially that most retailers are involved in bulk orders. The relevant cost functions are determined and a numerical example is given. Sensitivity analysis was carried out to see the effect of changes in parameters on the optimal solution of the model.


2021 ◽  
Vol 10 (4) ◽  
pp. 14-36
Author(s):  
Mahesh Kumar Jayaswal ◽  
Mandeep Mittal ◽  
Isha Sangal ◽  
Jayanti Tripathi

In this paper, an inventory model has been developed with trade credit financing and back orders under human learning. In this model, it is considered that the seller provides a credit period to his buyer to settle the account and the buyer accepts the credit period policy with certain terms and conditions. The impact of learning and credit financing on the size of the lot and the corresponding cost has been presented. For the development of the model, demand and lead times have been taken as the fuzzy triangular numbers are fuzzified, and then learning has been done in the fuzzy numbers. First of all, the consideration of constant fuzziness is relaxed, and then the concept of learning in fuzzy under credit financing is joined with the representation, assuming that the degree of fuzziness reduces over the planning horizon. Finally, the expected total fuzzy cost function is minimized with respect to order quantity and number of shipments under credit financing and learning effect. Lastly, sensitive analysis has been presented as a consequence of some numerical examples.


2018 ◽  
Vol 13 (2) ◽  
pp. 278-301 ◽  
Author(s):  
Gongbing Bi ◽  
Ping Chen ◽  
Yalei Fei

Purpose The purpose of the paper is to explore impacts of financing and supplier subsidy on capital-constrained retailer and the value of returns subsidy contract under a situation where the retailer makes joint operations and finance decisions. Design/methodology/approach This paper considers a two-level supply chain, including a retailer and a supplier. Facing problems of capital constraints and even customer returns, the newsvendor-like retailer orders from a well-capitalized supplier. The supplier allows the retailer a delay in payment and provides a subsidy contract to alleviate its problems if it is profitable. Considering their difference of initial capital status, the retailer is assumed to be Follower of Stackelberg Game and the supplier is the Leader. Findings The supplier return subsidy contract has some merits for both of partners in the chain. And it does not coordinate the supply chain when the retailer has enough initial capital; however, when the retailer is capital constrained, it does. In addition, the retailer’s initial capital level significantly affects the supplier’s subsidy decision. Research limitations/implications Return rate is simplified to a fixed proportion of completed demand. In addition, trade credit is only financing source in this paper, and other types of financing methods, such as bank credit, can be taken too. Originality/value This paper first incorporates trade credit financing and customer returns into a modeling framework to investigate the capital-constrained retailer’s joint operations and finance decisions and the value of supplier’s subsidy contract.


2018 ◽  
Vol 12 (4) ◽  
pp. 465
Author(s):  
Mandeep Mittal ◽  
Biswajit Sarkar ◽  
Dongmin Shin

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
Yong He ◽  
Hongfu Huang

Trade credit financing is a useful tool in business today, which can be characterized as the agreement between supply chain members such as permissible delay in payments. In this study, we assume that the items have the property of noninstantaneous deterioration and the demand is a function of downstream credit. Then, an EOQ model for noninstantaneous deterioration is built based on the two-level financing policy. The purpose of this paper is to maximize the total average profit by determine the optimal downstream credit period, the optimal replenishment cycle length, and the optimal ordering quantity per cycle. Useful theorems are proposed to characterize the method of obtaining the optimal solutions. Based on the theorems, an algorithm is designed, and numerical tests and sensitive analysis are provided. Lastly, according to the sensitive analysis, managerial insights are proposed.


2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Zohreh Molamohamadi ◽  
Abolfazl Mirzazadeh

In the classical inventory systems, the retailer had to settle the accounts of the purchased items at the time they were received. But in practice, the supplier applies some strategic tools, such as trade credit contract, to enhance his sales channel and offers delay period to his customers to settle the account. Any member of the supply chain may offer full or partial trade credit contract to his downstream level. Full trade credit is the case that the latter is allowed to defer the whole payment to the end of the credit period. In partial trade credit, however, the downstream supply chain member must pay for a proportion of the purchased goods at first and can delay paying for the rest until the end of the credit period. This paper considers a two-level trade credit, where the supplier offers order-quantity-dependent partial trade credit to a retailer, who suggests full trade credit to his customers. An economic order quantity (EOQ) inventory model of a deteriorating item is formulated here, and the Branch and Reduce Optimization Navigator is applied to find the optimal replenishment policy. The sensitivity of the variables on different parameters has been analyzed by applying some numerical examples. The data reveal that increasing the credit periods of the retailer and the customers can decrease and increase the retailer’s total cost, respectively.


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