IDEAS home Printed from https://ideas.repec.org/a/spr/opmare/v18y2025i3d10.1007_s12063-025-00546-z.html
   My bibliography  Save this article

Price promotions and safety stock: an antagonistic and a synergistic relationship

Author

Listed:
  • George C. Hadjinicola

    (University of Cyprus)

  • Andreas Soteriou

    (University of Cyprus)

  • Nyoman Pujawan

    (Sepuluh Nopember Institute of Technology (ITS))

  • Arnaud Lacheret

    (SKEMA Business School/Université Côte d’ Azur, Campus Grand Paris)

Abstract

This study investigates the interplay between price promotions and the level of safety stocks. We propose a framework where both price promotions and improved service levels, operationalized through higher safety stocks, can affect sales. We treat the annual number of promotions as a decision variable and the cycle service level as a strategic parameter. For annual planning purposes, we identify the market conditions where the relationship between the number of promotions and safety stocks is antagonistic and synergistic. We show that higher safety stocks, leading to improved service levels and sales, can “replace” price promotions. This antagonistic relationship is observed in markets with high pre-promotion sales, less reactive to price promotions, and more responsive to product availability. The synergistic relationship implies that these two sales-stimulating tools can simultaneously be used to increase sales. It appears in “anemic” and underdeveloped markets, where the combined contribution of a higher number of price promotions and safety stocks “fuels” the increase in sales, and makes the promotional and operational efforts financially viable to support. We also show that higher values of the ordering cost, inventory holding cost, and lead time, negatively affect the optimal annual number of price promotions adopted by the firm.

Suggested Citation

  • George C. Hadjinicola & Andreas Soteriou & Nyoman Pujawan & Arnaud Lacheret, 2025. "Price promotions and safety stock: an antagonistic and a synergistic relationship," Operations Management Research, Springer, vol. 18(3), pages 927-945, September.
  • Handle: RePEc:spr:opmare:v:18:y:2025:i:3:d:10.1007_s12063-025-00546-z
    DOI: 10.1007/s12063-025-00546-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12063-025-00546-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s12063-025-00546-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Feng Cheng & Suresh P. Sethi, 1999. "A Periodic Review Inventory Model with Demand Influenced by Promotion Decisions," Management Science, INFORMS, vol. 45(11), pages 1510-1523, November.
    2. Ernst, Ricardo & Powell, Stephen G., 1995. "Optimal inventory policies under service-sensitive demand," European Journal of Operational Research, Elsevier, vol. 87(2), pages 316-327, December.
    3. Fitzsimons, Gavan J, 2000. "Consumer Response to Stockouts," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 27(2), pages 249-266, September.
    4. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    5. Aram G. Sogomonian & Christopher S. Tang, 1993. "A Modeling Framework for Coordinating Promotion and Production Decisions within a Firm," Management Science, INFORMS, vol. 39(2), pages 191-203, February.
    6. Zhang, Ju-Liang & Chen, Jian & Lee, Chung-Yee, 2008. "Joint optimization on pricing, promotion and inventory control with stochastic demand," International Journal of Production Economics, Elsevier, vol. 116(2), pages 190-198, December.
    7. Eric T. Anderson & Gavan J. Fitzsimons & Duncan Simester, 2006. "Measuring and Mitigating the Costs of Stockouts," Management Science, INFORMS, vol. 52(11), pages 1751-1763, November.
    8. Vincent R. Nijs & Marnik G. Dekimpe & Jan-Benedict E.M. Steenkamps & Dominique M. Hanssens, 2001. "The Category-Demand Effects of Price Promotions," Marketing Science, INFORMS, vol. 20(1), pages 1-22, September.
    9. Shuba Srinivasan & Koen Pauwels & Dominique M. Hanssens & Marnik G. Dekimpe, 2004. "Do Promotions Benefit Manufacturers, Retailers, or Both?," Management Science, INFORMS, vol. 50(5), pages 617-629, May.
    10. Jia Niu & Shanshan Jin & Ge Chen & Xianhui Geng, 2024. "How Can Price Promotions Make Consumers More Interested? An Empirical Study from a Chinese Supermarket," Sustainability, MDPI, vol. 16(6), pages 1-21, March.
    11. James H. Bookbinder & Jin-Yan Tan, 1988. "Strategies for the Probabilistic Lot-Sizing Problem with Service-Level Constraints," Management Science, INFORMS, vol. 34(9), pages 1096-1108, September.
    12. Scott A. Neslin & Caroline Henderson & John Quelch, 1985. "Consumer Promotions and the Acceleration of Product Purchases," Marketing Science, INFORMS, vol. 4(2), pages 147-165.
    13. Tempelmeier, Horst, 2007. "On the stochastic uncapacitated dynamic single-item lotsizing problem with service level constraints," European Journal of Operational Research, Elsevier, vol. 181(1), pages 184-194, August.
    14. Yunzeng Wang & Yigal Gerchak, 2001. "Supply Chain Coordination when Demand Is Shelf-Space Dependent," Manufacturing & Service Operations Management, INFORMS, vol. 3(1), pages 82-87, August.
    15. Gérard P. Cachon & Santiago Gallino & Marcelo Olivares, 2019. "Does Adding Inventory Increase Sales? Evidence of a Scarcity Effect in U.S. Automobile Dealerships," Management Science, INFORMS, vol. 65(4), pages 1469-1485, April.
    16. Dennis J. Zhang & Hengchen Dai & Lingxiu Dong & Fangfang Qi & Nannan Zhang & Xiaofei Liu & Zhongyi Liu & Jiang Yang, 2020. "The Long-term and Spillover Effects of Price Promotions on Retailing Platforms: Evidence from a Large Randomized Experiment on Alibaba," Management Science, INFORMS, vol. 66(6), pages 2589-2609, June.
    17. H-Y Tsao & P-C Lin & L Pitt & C Campbell, 2009. "The impact of loyalty and promotion effects on retention rate," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 646-651, May.
    18. James D. Dana, Jr. & Nicholas C. Petruzzi, 2001. "Note: The Newsvendor Model with Endogenous Demand," Management Science, INFORMS, vol. 47(11), pages 1488-1497, November.
    19. Xiaoyan Zhu & Sila Cetinkaya, 2015. "A stochastic inventory model for an immediate liquidation and price-promotion decision under price-dependent demand," International Journal of Production Research, Taylor & Francis Journals, vol. 53(12), pages 3789-3809, June.
    20. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yan, Xiaoming & Chao, Xiuli & Lu, Ye, 2024. "Optimal control policies for dynamic inventory systems with service level dependent demand," European Journal of Operational Research, Elsevier, vol. 314(3), pages 935-949.
    2. Vishal Gaur & Young-Hoon Park, 2007. "Asymmetric Consumer Learning and Inventory Competition," Management Science, INFORMS, vol. 53(2), pages 227-240, February.
    3. Liberopoulos, George & Tsikis, Isidoros & Delikouras, Stefanos, 2010. "Backorder penalty cost coefficient "b": What could it be?," International Journal of Production Economics, Elsevier, vol. 123(1), pages 166-178, January.
    4. Tianhu Deng & Zuo-Jun Max Shen & J. George Shanthikumar, 2014. "Statistical Learning of Service-Dependent Demand in a Multiperiod Newsvendor Setting," Operations Research, INFORMS, vol. 62(5), pages 1064-1076, October.
    5. Fleischmann, M. & Hall, J.M. & Pyke, D.F., 2005. "A Dynamic Pricing Model for Coordinated Sales and Operations," ERIM Report Series Research in Management ERS-2005-074-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    6. Xuanming Su & Fuqiang Zhang, 2009. "On the Value of Commitment and Availability Guarantees When Selling to Strategic Consumers," Management Science, INFORMS, vol. 55(5), pages 713-726, May.
    7. Santiago Gallino & Antonio Moreno, 2014. "Integration of Online and Offline Channels in Retail: The Impact of Sharing Reliable Inventory Availability Information," Management Science, INFORMS, vol. 60(6), pages 1434-1451, June.
    8. Rabinovich, Elliot & Chenarides, Lauren & Richards, Timothy J., 2024. "Inventory Competition and the Cost of a Stockout," 2024 Annual Meeting, July 28-30, New Orleans, LA 343649, Agricultural and Applied Economics Association.
    9. Gürel, Yücel & Güllü, Refik, 2019. "Effect of a secondary market on a system with random demand and uncertain costs," International Journal of Production Economics, Elsevier, vol. 209(C), pages 112-120.
    10. Liberopoulos, George & Deligiannis, Michalis, 2022. "Optimal supplier inventory control policies when buyer purchase incidence is driven by past service," European Journal of Operational Research, Elsevier, vol. 300(3), pages 917-936.
    11. Ailawadi, Kusum L. & Beauchamp, J.P. & Donthu, Naveen & Gauri, Dinesh K. & Shankar, Venkatesh, 2009. "Communication and Promotion Decisions in Retailing: A Review and Directions for Future Research," Journal of Retailing, Elsevier, vol. 85(1), pages 42-55.
    12. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    13. Harald J. van Heerde & Peter S. H. Leeflang & Dick R. Wittink, 2004. "Decomposing the Sales Promotion Bump with Store Data," Marketing Science, INFORMS, vol. 23(3), pages 317-334, December.
    14. Tunuguntla, Vaishnavi & Basu, Preetam & Rakshit, Krishanu & Ghosh, Debabrata, 2019. "Sponsored search advertising and dynamic pricing for perishable products under inventory-linked customer willingness to pay," European Journal of Operational Research, Elsevier, vol. 276(1), pages 119-132.
    15. Zhang, Ju-Liang & Chen, Jian & Lee, Chung-Yee, 2008. "Joint optimization on pricing, promotion and inventory control with stochastic demand," International Journal of Production Economics, Elsevier, vol. 116(2), pages 190-198, December.
    16. Reimer, Kerstin & Rutz, Oliver J. & Pauwels, Koen, 2014. "How Online Consumer Segments Differ in Long-term Marketing Effectiveness," Journal of Interactive Marketing, Elsevier, vol. 28(4), pages 271-284.
    17. Pauls-Worm, Karin G.J. & Hendrix, Eligius M.T. & Haijema, René & van der Vorst, Jack G.A.J., 2014. "An MILP approximation for ordering perishable products with non-stationary demand and service level constraints," International Journal of Production Economics, Elsevier, vol. 157(C), pages 133-146.
    18. Kopalle, Praveen K. & Pauwels, Koen & Akella, Laxminarayana Yashaswy & Gangwar, Manish, 2023. "Dynamic pricing: Definition, implications for managers, and future research directions," Journal of Retailing, Elsevier, vol. 99(4), pages 580-593.
    19. Özen, Ulaş & Doğru, Mustafa K. & Armagan Tarim, S., 2012. "Static-dynamic uncertainty strategy for a single-item stochastic inventory control problem," Omega, Elsevier, vol. 40(3), pages 348-357.
    20. Kilic, Onur A. & Tunc, Huseyin & Tarim, S. Armagan, 2018. "Heuristic policies for the stochastic economic lot sizing problem with remanufacturing under service level constraints," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1102-1109.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:opmare:v:18:y:2025:i:3:d:10.1007_s12063-025-00546-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.