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Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods

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  • Stephen M. Gilbert

    (Management Department, Graduate School of Business Administration, The University of Texas at Austin, Austin, Texas 78712-1174)

Abstract

This paper addresses the problem of jointly determining prices and production schedules for a set of items that are produced on the same production equipment. Under the assumptions that the production setup costs are negligible and that demand is seasonal but price dependent, we exploit the special structure of the problem to develop a solution procedure. Through a set of numerical examples, we demonstrate how a product's contribution to aggregate seasonality can increase its optimal price. Our examples also demonstrate that, among products that experience demand peaks during the firm's busy season, those that peak early in the busy season should be priced more aggressively than those that peak later.

Suggested Citation

  • Stephen M. Gilbert, 2000. "Coordination of Pricing and Multiple-Period Production Across Multiple Constant Priced Goods," Management Science, INFORMS, vol. 46(12), pages 1602-1616, December.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:12:p:1602-1616
    DOI: 10.1287/mnsc.46.12.1602.12073
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    References listed on IDEAS

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    1. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
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    3. Gilbert, Stephen M., 1999. "Coordination of pricing and multi-period production for constant priced goods," European Journal of Operational Research, Elsevier, vol. 114(2), pages 330-337, April.
    4. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    5. Joseph Thomas, 1970. "Price-Production Decisions with Deterministic Demand," Management Science, INFORMS, vol. 16(11), pages 747-750, July.
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    Citations

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    Cited by:

    1. Mehmet Önal & H. Edwin Romeijn, 2010. "Multi‐item capacitated lot‐sizing problems with setup times and pricing decisions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(2), pages 172-187, March.
    2. Kaijie Zhu & Ulrich W. Thonemann, 2009. "Coordination of pricing and inventory control across products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 175-190, March.
    3. Elham Mardaneh & Louis Caccetta, 2013. "Optimal Pricing and Production Planning for Multi-product Multi-period Systems with Backorders," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 896-917, September.
    4. Elodie Adida & Georgia Perakis, 2007. "A nonlinear continuous time optimal control model of dynamic pricing and inventory control with no backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 767-795, October.
    5. van den Heuvel, Wilco & Wagelmans, Albert P.M., 2006. "A polynomial time algorithm for a deterministic joint pricing and inventory model," European Journal of Operational Research, Elsevier, vol. 170(2), pages 463-480, April.
    6. W K Chiang & Y Feng, 2010. "Retailer or e-tailer? Strategic pricing and economic-lot-size decisions in a competitive supply chain with drop-shipping," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(11), pages 1645-1653, November.
    7. Fang, Fei & Nguyen, Tri-Dung & Currie, Christine S.M., 2021. "Joint pricing and inventory decisions for substitutable and perishable products under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 293(2), pages 594-602.
    8. Bajwa, Naeem & Sox, Charles R. & Ishfaq, Rafay, 2016. "Coordinating pricing and production decisions for multiple products," Omega, Elsevier, vol. 64(C), pages 86-101.
    9. Bhatia, Nishika & Gülpınar, Nalan & Aydın, Nurşen, 2020. "Dynamic production-pricing strategies for multi-generation products under uncertainty," International Journal of Production Economics, Elsevier, vol. 230(C).
    10. Lamas, Alejandro & Chevalier, Philippe, 2018. "Joint dynamic pricing and lot-sizing under competition," European Journal of Operational Research, Elsevier, vol. 266(3), pages 864-876.
    11. Jian Yang & Xiaolong Zhang, 2009. "Coordinated dynamic control of marketing and production," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(4), pages 348-365, June.
    12. Pereira, Daniel Filipe & Oliveira, José Fernando & Carravilla, Maria Antónia, 2020. "Tactical sales and operations planning: A holistic framework and a literature review of decision-making models," International Journal of Production Economics, Elsevier, vol. 228(C).
    13. Lu, Fen & Xu, He & Chen, Pengyu & Zhu, Stuart X., 2018. "Joint pricing and production decisions with yield uncertainty and downconversion," International Journal of Production Economics, Elsevier, vol. 197(C), pages 52-62.
    14. Yevgeny Tsodikovich & Ehud Lehrer, 2019. "Stochastic revision opportunities in Markov decision problems," Annals of Operations Research, Springer, vol. 279(1), pages 251-270, August.
    15. Li, Xueping & Wang, Jiao & Sawhney, Rapinder, 2012. "Reinforcement learning for joint pricing, lead-time and scheduling decisions in make-to-order systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 99-109.
    16. Elodie Adida & Georgia Perakis, 2010. "Dynamic pricing and inventory control: robust vs. stochastic uncertainty models—a computational study," Annals of Operations Research, Springer, vol. 181(1), pages 125-157, December.
    17. Lap Mui Ann Chan & David Simchi-Levi & Julie Swann, 2006. "Pricing, Production, and Inventory Policies for Manufacturing with Stochastic Demand and Discretionary Sales," Manufacturing & Service Operations Management, INFORMS, vol. 8(2), pages 149-168, January.
    18. Geunes, Joseph & Merzifonluoglu, Yasemin & Romeijn, H. Edwin, 2009. "Capacitated procurement planning with price-sensitive demand and general concave-revenue functions," European Journal of Operational Research, Elsevier, vol. 194(2), pages 390-405, April.
    19. Zhi-Long Chen & Nicholas G. Hall, 2010. "The Coordination of Pricing and Scheduling Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 77-92, April.
    20. Shiming Deng & Candace A. Yano, 2006. "Joint Production and Pricing Decisions with Setup Costs and Capacity Constraints," Management Science, INFORMS, vol. 52(5), pages 741-756, May.
    21. van den Heuvel, W. & Kundakcioglu, O.E. & Geunes, J. & Romeijn, H.E. & Sharkey, T.C. & Wagelmans, A.P.M., 2007. "Integrated market selection and production planning: complexity and solution approaches," Econometric Institute Research Papers EI 2007-45, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    22. Lu, Liang & Qi, Xiangtong, 2011. "Dynamic lot sizing for multiple products with a new joint replenishment model," European Journal of Operational Research, Elsevier, vol. 212(1), pages 74-80, July.
    23. Abhijit Upasani & Reha Uzsoy, 2008. "Incorporating manufacturing lead times in joint production-marketing models: A review and some future directions," Annals of Operations Research, Springer, vol. 161(1), pages 171-188, July.

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