Skip to main content

Advertisement

Log in

Pricing and inventory control strategy for a periodic-review energy buy-back system

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

Along with the rapid development of economics and enhancement of industrialization, the power demand keeps rising and frequently creates mismatch between demand and supply in electricity. This provides miscellaneous energy buy-back programs with great opportunities. Such programs, when activated, offer certain amount of financial compensations to participants for reducing their energy consumption during peak time. They aim at encouraging participants to shift their electricity usage from peak to non-peak time, and thereby release the demand pressure during peak time. This paper considers a periodic-review joint pricing and inventory decision model under an energy buy-back program over finite planning horizons, in which the compensation levels, setup cost and additive random demand function are incorporated. The objective is to maximize a manufacturer’s expected total profit. By using Veinott’s conditions, it is shown that the manufacturer’s optimal decision is a state dependent (s, S, P) policy under a peak market condition, or partly an (s, S, A, P) policy under the normal market condition.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Coy P, Exploiting Uncertainty: The “real options” revolution in decision making, Business Week Online, 1999, 6(7): 118–124.

    Google Scholar 

  2. Wald M L, Utilities try new ways to vary energy pricing, NY Times, 2000, 7(17).

  3. Chao X and Chen F Y, An optimal production and shutdown strategy when a supplier offers an incentive program, Manufacturing Service & Operations Management, 2005, 7(2): 130–143.

    Article  Google Scholar 

  4. Chen F Y, Sethi S P, and Zhang H Q, A production-inventory problem for an energy buy-back program, IEEE Transactions on Automation Science and Engineering, 2007, 4(3): 395–406.

    Article  Google Scholar 

  5. Ding X, Zhang J, and Chen X, A joint pricing and inventory control problem under an energy buy-back program, Operations Research Letters, 2012, 40(6): 516–520.

    Article  MathSciNet  MATH  Google Scholar 

  6. Chen X and Simchi-Levi D, Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: The finite horizon case, Operations Research, 2004, 52(6): 887–896.

    Article  MathSciNet  MATH  Google Scholar 

  7. Whitin T T, Inventory control and price theory, Management Science, 1955, 2(1): 61–68.

    Article  MathSciNet  Google Scholar 

  8. Thomas L T, Price and production decisions with random demand, Operations Research, 1974, 22(3): 513–518.

    Article  MATH  Google Scholar 

  9. Federgruen A and Heching A, Combined pricing and inventory control under uncertainty, Operations Research, 1999, 47(3): 454–475.

    Article  MathSciNet  MATH  Google Scholar 

  10. Chen X and Simchi-Levi D, Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: The infinite horizon case, Mathematics of Operations Research, 2004, 29(3): 698–723.

    Article  MathSciNet  MATH  Google Scholar 

  11. Chao X and Zhou S X, Joint inventory-and-pricing strategy for a stochastic continuous-review system, IIE Transactions, 2006, 38(5): 401–408.

    Article  Google Scholar 

  12. Chen X and Simchi-Levi D, Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: The continuous review model, Operations Research Letters, 2006, 34(3): 323–332.

    Article  MathSciNet  MATH  Google Scholar 

  13. Yin R and Rajaram K, Joint pricing and inventory control with a markovian demand model, European Journal of Operational Research, 2007, 182(1): 113–126.

    Article  MathSciNet  MATH  Google Scholar 

  14. Chao X, Chen H, and Zheng S, Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity, European Journal of Operational Research, 2008, 191(1): 142–155.

    Article  MathSciNet  MATH  Google Scholar 

  15. Chen F Y, Ray S, and Song Y, Optimal pricing and inventory control policy in periodic-review systems with fixed ordering cost and lost sales, Naval Research Logistics, 2006, 53(2): 117–136.

    Article  MathSciNet  MATH  Google Scholar 

  16. Song Y, Ray S, and Boyaci T, Optimal dynamic joint inventory-pricing control for multiplicative demand with fixed setup costs and lost sales, Operations Research, 2009, 57(1): 245–250.

    Article  MATH  Google Scholar 

  17. Zhu S X, Joint pricing and inventory replenishment decisions with returns and expediting, European Journal of Operational Research, 2012, 216(1): 105–112.

    Article  MathSciNet  MATH  Google Scholar 

  18. Ozer O and Philips R, The Oxford Handbook of Pricing Management, Oxford University Press, 2012.

    Book  Google Scholar 

  19. Petruzzi N C and Dada M, Pricing and the newsvendor model: A review with extensions, Operations Research, 1999, 47(2): 183–194.

    Article  MATH  Google Scholar 

  20. Beyer D, Sethi S P, and Taksar M, Inventory models with markovian demands and cost functions of polynomial growth, Journal of Optimization Theory and Applications, 1998, 98(2): 281–323.

    Article  MathSciNet  MATH  Google Scholar 

  21. Sethi S P and Cheng F, Optimality of (s, S) policies in inventory models with markovian demands, Operations Research, 1997, 45(6): 931–939.

    Article  MathSciNet  MATH  Google Scholar 

  22. Veinott A, On the optimality of (s, S) policies: New conditions and a new proof, SIAM Journal on Applied Mathematics, 1996, 14(5): 1067–1083.

    Article  MathSciNet  MATH  Google Scholar 

  23. Beyer D, Cheng F, Sethi S P, et al., Markovian Demand Inventory Models, Springer, New York, 2010.

    Book  MATH  Google Scholar 

  24. Beyer D and Sethi S P, Average cost optimality in inventory models with markovian demands, Journal of Optimization Theory and Applications, 1997, 92(3): 497–526.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaosong Ding.

Additional information

The work was partially supported by Young Faculty Research Fund of Beijing Foreign Studies University (2015JT005), YETP (YETP0851), the National Natural Science Foundation of China (71371032), Key Project of Beijing Foreign Studies University Research Programs (2011XG003), the Humanities and Social Science Research Project of Ministry of Education (13YJA630125), and the Fundamental Research Funds for the Central Universities.

This paper was recommended for publication by Editor ZHANG Xun.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, J., Chen, H., Ding, X. et al. Pricing and inventory control strategy for a periodic-review energy buy-back system. J Syst Sci Complex 29, 1018–1033 (2016). https://doi.org/10.1007/s11424-016-4101-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-016-4101-0

Keywords

Navigation