4.7 Article

Dynamic pricing for deteriorating products with menu cost

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.omega.2017.02.001

Keywords

Dynamic programming; Pricing; Menu costs; Deteriorating products

Funding

  1. National Natural Science Foundation of China [71632008, 71522009, 71202068, 71371123, 71131005, 71632007, 71421002]
  2. Shanghai Pujiang Program
  3. Specialized Research Fund for the Doctoral Program of Higher Education of China [20120073120042]
  4. Program for Yong Teacher of Shanghai International Studies University [20161140026]
  5. Interdisciplinary Foundation of Shanghai Jiao Tong University [11JCZ02]
  6. ShuGuang project of the Shanghai Municipal Education Commission [09SG17]
  7. Shanghai Education Development Foundation

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Retail operation practice has empirically demonstrated that menu costs (i.e., the costs of adjusting a price) play a critical role in retailer pricing decisions. In this paper, we propose four dynamic pricing models for deteriorating products based on different pricing adjustment frequencies with and without menu costs. Under Poisson demand, we provide (1) the rank of these models in terms of expected profits and note that (2) the optimal prices of deteriorating products consistently decrease over time when menu costs are negligible. To investigate the impact of menu costs on dynamic pricing decisions, we conduct several numerical experiments based on different menu costs, decay rates, holding costs and initial inventories. The results demonstrate that (1) the one-time price adjustments typically employed in practice provide the most benefit from dynamic pricing when menu costs are moderate and that (2) it is typically preferable to adjust the price in the middle of the products shelf life rather than to make early or late adjustments. The same conclusions follow under compound Poisson demand and general customer utility functions. (C) 2017 Elsevier Ltd. All rights reserved.

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