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

Beatriz Abdul-Jalbar, Roberto Dorta-Guerra, José M. Gutiérrez and Joaquín Sicilia
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Beatriz Abdul-Jalbar: Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, 38200 Santa Cruz de Tenerife, Spain
Roberto Dorta-Guerra: Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, 38200 Santa Cruz de Tenerife, Spain
José M. Gutiérrez: Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, 38200 Santa Cruz de Tenerife, Spain
Joaquín Sicilia: Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, 38200 Santa Cruz de Tenerife, Spain

Mathematics, 2021, vol. 9, issue 15, 1-25

Abstract: 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.

Keywords: integrated inventory model; non-integrated inventory model; trade credit (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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