Modeling Payment Timing in Multiechelon Inventory Systems with Applications to Supply Chain Coordination

41 Pages Posted: 16 May 2015 Last revised: 24 Feb 2020

See all articles by Jordan Tong

Jordan Tong

Wisconsin School of Business

Gregory DeCroix

Wisconsin School of Business

Jing-Sheng Jeannette Song

Duke University - Fuqua School of Business

Date Written: June 26, 2018

Abstract

Problem definition: What is your research problem? How can one adapt multiechelon inventory models to capture the cash flows generated by various payment timing contracts? What competitive inventory policy behavior arises under these various payment timing arrangements?

Academic/Practical relevance: How is your research problem relevant to the OM research/practice community? Technology advancements are increasing the variety of payment triggers between supply chain stages. However, traditional multiechelon inventory models, which were originally developed for vertically integrated systems, do not explicitly account for payments flowing up the supply chain nor issues of payment timing between stages.

Methodology: What is the underlying research method? We introduce an analytical modeling methodology to incorporate financial inventory costs generated by payment timing arrangements between stages in multiechelon inventory models. We also combine these methods with established inventory theory to study competitive inventory policies in a two-echelon system.

Results: What are your key findings? Under a class of payment timing contracts, we show how to express payment flows at each stage in terms of standard physical inventory metrics and the demand arrival process. We also show how to calculate the average inventory costs for each stage under given inventory policies and payment timing contracts. In the two-echelon base stock model, we first show that the cost of decentralization under standard wholesale price contracts is significantly driven by too much inventory at the supplier; it is not exclusively driven by too little inventory at the retailer as in the selling-to-the-newsvendor literature. We show that wholesale price contracts with a type of popular consignment payment timing still leads to too little inventory at the retailer. However, we prove there exists a wholesale price contract with partial consignment timing that can achieve the centralized inventory levels at both the supplier and the retailer.

Managerial implications: How can academics/managers/decision-makers benefit from your study? Researchers can leverage our methodology to incorporate the price transfers and and timing aspects of contracts in multiechelon inventory models. Our insights also help managers better understand the impact of prices and payment timing on decentralized chain behavior and performance.

Keywords: supply chain management, multiechelon inventory, contracts, supply chain coordination, inventory costs

Suggested Citation

Tong, Jordan and DeCroix, Gregory and Song, Jing-Sheng Jeannette, Modeling Payment Timing in Multiechelon Inventory Systems with Applications to Supply Chain Coordination (June 26, 2018). Available at SSRN: https://ssrn.com/abstract=2606365 or http://dx.doi.org/10.2139/ssrn.2606365

Jordan Tong (Contact Author)

Wisconsin School of Business ( email )

975 University Avenue
Madison, WI 53706
United States

Gregory DeCroix

Wisconsin School of Business ( email )

975 University Avenue
Madison, WI 53706
United States

Jing-Sheng Jeannette Song

Duke University - Fuqua School of Business ( email )

100 Fuqua Drive
Duke University
Durham, NC 27708
United States

HOME PAGE: http://people.duke.edu/~jssong/

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