When to Lock the Volatile Input Price? Procurement of Commodity Components under Different Pricing Schemes

Forthcoming in Manufacturing and Service Operations Management

41 Pages Posted: 20 Nov 2019 Last revised: 25 Jan 2021

See all articles by Shi Chen

Shi Chen

University of Washington - Foster School of Business

Junfei Lei

University of Washington - Department of Information Systems and Operations Management

Kamran Moinzadeh

Foster School of Business - University of Washington

Date Written: January 24, 2021

Abstract

Problem definition: We study a two-stage supply chain, where the supplier procures a key component to manufacture a product and the buyer orders from the supplier to meet a price-sensitive demand. As the input price is volatile, the two parties enter into either a standard contract, where the buyer orders just before the supplier starts production, or a time-flexible contract, where the buyer can lock a wholesale price in advance. Moreover, we consider three selling-price schemes: Market-Driven, Cost-Plus, and Profit-Max.

Academic / Practical Relevance: This problem is motivated by real practices in the cloud industry. Our model and optimization approach can address similar problems in other industries as well.

Methodology: We assume that the input price follows a Geometric Brownian motion. To determine the optimal ordering time, we propose an optimization approach that is different from the classic approach by Dixit et al. (1994) and Li and Kouvelis (1999). Our approach leads to deeper analytical results and more transparent ordering policy. Through a numerical experimentation, we compare profitability of different parties under different contracts, pricing schemes, and market conditions.

Results: The buyer’s ordering policy is determined by a threshold policy based on the current time and input price; the optimal threshold depends on not only the drift and volatility of the input price, but also their relative magnitude. The supplier’s optimal procurement time should be determined by analyzing a trade-off between the holding cost of storing the components and the future input price movement.

Managerial Implications: Under the Profit-Max and the Cost-Plus pricing schemes, the time-flexible contract is a Pareto improvement compared to the standard contract, whereas, under the Market-Driven pricing scheme, the supplier may be better off under the standard contract. Moreover, although the most favorable scenario for the buyer is under the Profit-Max pricing scheme, the most favorable scenario for the supplier oftentimes is under the Cost-Plus pricing scheme. Furthermore, this study provides valuable insights into impacts of various characteristics of the component market, such as the trend and volatility of the input price, on the expected profit of the supply chain and its split between the two parties.

Keywords: Input Price Uncertainty, Pricing Schemes, Procurement Strategy, Cloud Computing Industry

Suggested Citation

Chen, Shi and Lei, Junfei and Moinzadeh, Kamran, When to Lock the Volatile Input Price? Procurement of Commodity Components under Different Pricing Schemes (January 24, 2021). Forthcoming in Manufacturing and Service Operations Management, Available at SSRN: https://ssrn.com/abstract=3484516 or http://dx.doi.org/10.2139/ssrn.3484516

Shi Chen (Contact Author)

University of Washington - Foster School of Business ( email )

Michael G. Foster School of Business
University of Washington
Seattle, WA 98195-3200
United States

Junfei Lei

University of Washington - Department of Information Systems and Operations Management ( email )

Box 353200
Seattle, WA 98195-3200
United States

Kamran Moinzadeh

Foster School of Business - University of Washington

Foster School of Business
University of Washington
Seattle, WA 98195-3200
United States

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