Setting Single-Period Optimal Capacity Levels and Prices for Substitutable Products

In this paper, we consider how a company that has the flexibility to produce two substitutable products would determine optimal capacity levels and prices for these products in a single-period problem. We first consider the case where the firm is a price taker but can determine optimal capacity levels for both products. We then consider the case where the firm can set the price for one product and the optimal capacity level for the other. Finally, we consider the case where capacity is fixed for both products, but the firm can set prices. For each case, we examine the sensitivity of optimal prices and capacities to the problem parameters. Finally, we consider the case where each product is managed by a product manager trying to maximize individual product profits rather than overall firm profits and analyze how optimal price and capacity decisions are affected.

[1]  E. Ignall,et al.  Optimality of Myopic Inventory Policies for Several Substitute Products , 1969 .

[2]  B. Ismail,et al.  OPTIMIZING AND SATISFICING IN STOCHASTIC COST‐VOLUME‐PROFIT ANALYSIS , 1979 .

[3]  Hon-Shiang Lau.  The Newsboy Problem under Alternative Optimization Objectives , 1980 .

[4]  Nancy L. Stokey.  Rational Expectations and Durable Goods Pricing , 1981 .

[5]  Jeremy I. Bulow.  Durable-Goods Monopolists , 1982, Journal of Political Economy.

[6]  E. Sankarasubramanian,et al.  Note-Note on Optimal Ordering Quantity to Realize a Pre-Determined Level of Profit , 1983 .

[7]  David M. Kreps,et al.  Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes , 1983 .

[8]  Amy Hing-Ling Lau,et al.  The Newsboy Problem With Price-Dependent Demand Distribution , 1988 .

[9]  Amy Hing-Ling Lau,et al.  Some Analytical Results for a Two‐Product Newsboy Problem , 1990 .

[10]  S. Whang,et al.  On manufacturing/marketing incentives , 1991 .

[11]  Frank A. Wolak,et al.  Collusive Pricing with Capacity Constraints in the Presence of Demand Uncertainty , 1992 .

[12]  Gabriel R. Bitran,et al.  Ordering Policies in an environment of Stochastic Yields and Substitutable Demands , 1992, Oper. Res..

[13]  Steven Nahmias,et al.  A preliminary model for lot sizing In semiconductor manufacturing , 1994 .

[14]  Seungjin Whang,et al.  Coordination in operations: A taxonomy , 1995 .

[15]  Kai Wang,et al.  Co-production models with random functionality yields , 1996 .

[16]  Kevin F. McCardle,et al.  The Competitive Newsboy , 1997, Oper. Res..

[17]  Yehuda Bassok,et al.  Random Yield and Random Demand in a Production System with Downward Substitution , 1999, Oper. Res..