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On the Optimality of the Multi-Product EOQ Model with Pricing Consideration

  • Shin, Ho-Jung (Department of LSOM, Korea University Business School) ;
  • Park, Soo-Hoon (Department of LSOM, Korea University Business School)
  • Received : 2011.10.25
  • Accepted : 2011.12.24
  • Published : 2012.05.31

Abstract

Two previous studies that attempted to generalize the deterministic joint pricing-inventory decision model are reevaluated. We prove analytically that even in a single-product environment, the EOQ model with constant priceelastic demand cannot find optimal solutions unless two optimality conditions associated with price elasticity and demand magnitude are satisfied. Due to the inexistence of the general optimality for the problem, demand function and price elasticity must be evaluated and bounded properly to use the methods proposed in the previous studies.

Keywords

References

  1. Abad, P. L., "Supplier pricing and lot sizing when demand is price sensitive," European Journal of Operational Research 78 (1994), 334-354. https://doi.org/10.1016/0377-2217(94)90044-2
  2. Chan, L. M. A., Z. J. M. Shen, D. Simchi-Levi, and J. Swann, "Coordination of Pricing and Inventory Decisions: A Survey and Classification," Handbook of Quantitative Supply Chain Analysis: Modeling in the E-Business Era, Ed. by Simchi-Levi, D., Wu, S. D. Wu, and Shen Z. J. M., Kluwer Academic Publishers, Boston, 2004.
  3. Chen, C. K. and K. J. Min, "A multi-product EOQ model with pricing consideration-T. C. E. Cheng's model revisited," Computers and Industrial Engineering 26 (1994), 787-794. https://doi.org/10.1016/0360-8352(94)90013-2
  4. Cheng, T. C. E., "An EOQ model with pricing consideration," Computers and Industrial Engineering 18 (1990), 529-534. https://doi.org/10.1016/0360-8352(90)90011-A
  5. Keat, P. G. and P. K. Y. Young, Managerial Economics, 3rd Edition Prentice-Hall, New Jersey, 2000.
  6. Lee, W. J. and D. Kim, "Optimal and Heuristic Decision Strategies for Integrated Production and Marketing Planning," Decision Sciences 24 (1993), 1203-1213. https://doi.org/10.1111/j.1540-5915.1993.tb00511.x
  7. Kunreuther, H. and J. F. Richard, "Optimal pricing and inventory decisions for non-seasonal items," Econometrica 39 (1971), 173-175. https://doi.org/10.2307/1909147
  8. Kunreuther, H. and L. Schrage, "Joint Pricing and Inventory Decisions for Constant Price Items," Management Science 19 (1973), 732-738. https://doi.org/10.1287/mnsc.19.7.732
  9. Lau, A. H. L. and H. S. Lau, "Effects of a demandcurve's shape on the optimal solutions of a multiechelon inventory/pricing model," European Journal of Operational Research 147 (2003), 530-548. https://doi.org/10.1016/S0377-2217(02)00291-6
  10. Simon, C. P. and L. Blume, Mathematics for Economists, W. W. Norton and Company, New York, 1994.
  11. Thomas, J., "Price-production decisions with determinestic demand," Management Science 16 (1970), 747- 750. https://doi.org/10.1287/mnsc.16.11.747
  12. Yano, C. and S. M. Gilbert, "Coordinated pricing and production/procurement decisions: A review," Managing Business Interfaces: Marketing, Engineering, and Manufacturing Perspectives, Ed. by Chakravarty, A. and Eliashberg, J., Kluwer Acedemic Publishers, Boston, 2004.
  13. Whitin, T. M., "Inventory Control and Price Theory," Management Science 2 (1955), 61-68. https://doi.org/10.1287/mnsc.2.1.61