Order Smoothing and Information Sharing under Endogenous Inventory Cost Parameters

49 Pages Posted: 4 Mar 2019 Last revised: 14 Aug 2020

See all articles by Rene Caldentey

Rene Caldentey

University of Chicago - Booth School of Business

Avi H. Giloni

Yeshiva University - Syms School of Business

Clifford M. Hurvich

Stern School of Business, New York University; New York University (NYU) - Department of Information, Operations, and Management Sciences

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Date Written: March 12, 2020

Abstract

We consider a two-tier inventory management system with one retailer and one supplier. The
retailer serves a demand driven by a stationary moving average process (of possibly in nite order) and places periodic inventory replenishment orders to the supplier. In this setting, we study the interplay between information sharing and order smoothing under the assumption that rms' inventory cost parameters (e.g., per unit holding and backordering costs) are functions of two forms of supply chain variability: (i) on-hand inventory variability and (ii) replenishment order variability. We show that there is a natural tension between these two sources of variability and characterize a \Pareto frontier" between them by identifying optimal inventory replenishment strategies that trade-o one type of variability for the other in a cost efficient way. For the case in which the retailer is able to share her complete demand history, we provide a full characterization of the efficient frontier, as well as of an optimal replenishment policy. On the other hand, when the retailer is not able (or willing) to share any demand information we provide a partial characterization of an optimal solution and show that information sharing does not always add value.We also show that the question of identifying conditions under which information sharing does o er value reduces to a delicate analysis of the invertibility (in a time series sense) of a specific stationary process.

Keywords: inventory control; supply chain management; information sharing; order smoothing

Suggested Citation

Caldentey, Rene and Giloni, Avi H. and Hurvich, Clifford M., Order Smoothing and Information Sharing under Endogenous Inventory Cost Parameters (March 12, 2020). NYU Stern School of Business, Available at SSRN: https://ssrn.com/abstract=3333371 or http://dx.doi.org/10.2139/ssrn.3333371

Rene Caldentey (Contact Author)

University of Chicago - Booth School of Business ( email )

5807 S. Woodlawn Avenue
Chicago, IL 60637
United States

HOME PAGE: http://www.chicagobooth.edu/faculty/directory/c/rene-caldentey

Avi H. Giloni

Yeshiva University - Syms School of Business ( email )

United States

Clifford M. Hurvich

Stern School of Business, New York University ( email )

44 West 4th Street
New York, NY 10012-1126
United States

New York University (NYU) - Department of Information, Operations, and Management Sciences

44 West Fourth Street
New York, NY 10012
United States

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