Optimal Policies Under Different Pricing Strategies in a Production System with Markov-Modulated Demand

  • E. L. Örmeci
  • J. P. Gayon
  • I. Talay-Değirmenci
  • F. Karaesmen
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 199)


We study the effects of different pricing strategies available to a continuous review inventory system with capacitated supply, which operates in a fluctuating environment. The system has a single server with exponential processing time. The inventory holding cost is nondecreasing and convex in the inventory level, the production cost is linear with no set-up cost. The potential customer demand is generated by a Markov-Modulated (environment-dependent) Poisson process, while the actual demand rate depends on the offerred price. For such systems, there are three possible pricing strategies: Static pricing, where only one price is used at all times, environment-dependent pricing, where the price changes with the environment, and dynamic pricing, where price depends on both the current environment and the stock level. The objective is to find an optimal replenishment policy under each of these strategies. This paper presents some structural properties of optimal replenishment policies, and a numerical study which compares the performances of these three pricing strategies.


Inventory control pricing Markov Decision processes 


  1. [1]
    L. M. A. Chan, Z. J. Max Shen, D. Simchi-Levi, J. L. Swann. Coordination of pricing and inventory decisions: a survey and classification. In Handbook of quantitative supply chain analysis: modeling in the e-business era. Kluwer, 2004.Google Scholar
  2. [2]
    F. Chen, J. S. Song. Optimal Policies for Multiechelon Inventory Problems with Markov-Modulated Demand. Oper. Research. 49-2: 226–234.Google Scholar
  3. [3]
    H. Chen, O. Wu, D.D. Yao. Optimal Pricing and Replenishment in a Single-Product Inventory System. Working Paper, Columbia University, Dept. of Industrial Engineering and Operations Research, 2004.Google Scholar
  4. [4]
    W. Elmaghraby, P. Keskinocak. Dynamic pricing in the presence of inventory considerations: research overview, current practices and future directions. Management Science. 49-10:1287–1309, 2003.CrossRefGoogle Scholar
  5. [5]
    J.-P. Gayon, I. Talay-Değirmenci, F. Karaesmen, L. Ormeci. Dynamic Pricing and Replenishment in a Production/Inventory System with Markov-Modulated Demand. Working Paper, Koç University, Department of Industrial Engineering, 2004.Google Scholar
  6. [6]
    L. Li. A stochastic theory of the firm. Math., of Oper. Res.. 13:3, 1988.Google Scholar
  7. [7]
    S. Özekici, M. Parlar. Inventory models with unreliable suppliersin a random environment. Annals of Operations Research. 91:123–136, 1999.MathSciNetCrossRefGoogle Scholar
  8. [8]
    M. Puterman. Markov Decision Processes. John Wiley and Sons Inc, New York, 1994.Google Scholar
  9. [9]
    C.A Yano, S.M. Gilbert. Coordinated pricing and production/procurement decisions: a review. In Managing Business Interfaces. Kluwer Academic Publishers, 2003.Google Scholar

Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • E. L. Örmeci
    • 1
  • J. P. Gayon
    • 2
  • I. Talay-Değirmenci
    • 3
  • F. Karaesmen
    • 1
  1. 1.Koç UniversityİstanbulTurkey
  2. 2.INPGGrenobleFrance
  3. 3.Duke UniversityDurhamUSA

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