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.
Similar content being viewed by others
References
Coy P, Exploiting Uncertainty: The “real options” revolution in decision making, Business Week Online, 1999, 6(7): 118–124.
Wald M L, Utilities try new ways to vary energy pricing, NY Times, 2000, 7(17).
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.
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.
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.
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.
Whitin T T, Inventory control and price theory, Management Science, 1955, 2(1): 61–68.
Thomas L T, Price and production decisions with random demand, Operations Research, 1974, 22(3): 513–518.
Federgruen A and Heching A, Combined pricing and inventory control under uncertainty, Operations Research, 1999, 47(3): 454–475.
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.
Chao X and Zhou S X, Joint inventory-and-pricing strategy for a stochastic continuous-review system, IIE Transactions, 2006, 38(5): 401–408.
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.
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.
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.
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.
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.
Zhu S X, Joint pricing and inventory replenishment decisions with returns and expediting, European Journal of Operational Research, 2012, 216(1): 105–112.
Ozer O and Philips R, The Oxford Handbook of Pricing Management, Oxford University Press, 2012.
Petruzzi N C and Dada M, Pricing and the newsvendor model: A review with extensions, Operations Research, 1999, 47(2): 183–194.
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.
Sethi S P and Cheng F, Optimality of (s, S) policies in inventory models with markovian demands, Operations Research, 1997, 45(6): 931–939.
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.
Beyer D, Cheng F, Sethi S P, et al., Markovian Demand Inventory Models, Springer, New York, 2010.
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.
Author information
Authors and Affiliations
Corresponding author
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
About this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11424-016-4101-0