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Note---Comments on "A Quantity Discount Pricing Model to Increase Vendor Profits"

Author

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  • Prafulla N. Joglekar

    (Management Department, La Salle University, Philadelphia, Pennsylvania 19141)

Abstract

Monahan (Monahan, J. P. 1984. A quantity discount pricing model to increase vendor profits. Management Sci. (June) 720--726.) adapted the quantity discount model of inventory theory to the problem of determining an optimal quantity discount schedule from a vendor's point of view, and opened up an important direction of research. However, his one-item, one-customer, one-vendor model is based on several implicit assumptions that must be judged unreasonable. Monahan must account for the vendor's inventory carrying charges and redefine his variable S 2 . It is shown that a rational vendor's manufacturing frequency would not be identical to the buyer's ordering frequency if the vendor's manufacturing setup costs are substantially larger than the buyer's ordering costs. A numerical example presented in this note also questions the practical usefulness of Monahan's model even after its theoretical inaccuracies axe corrected. Monahan's model may explain discounts that are a fraction of 1% of the price of an item, but it fails to explain commonly observed magnitudes of quantity discounts, such as 10% of the unit price.

Suggested Citation

  • Prafulla N. Joglekar, 1988. "Note---Comments on "A Quantity Discount Pricing Model to Increase Vendor Profits"," Management Science, INFORMS, vol. 34(11), pages 1391-1398, November.
  • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:11:p:1391-1398
    DOI: 10.1287/mnsc.34.11.1391
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    Cited by:

    1. Chen, Liang-Hsuan & Kang, Fu-Sen, 2007. "Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 183(2), pages 658-673, December.
    2. Qinan Wang & Ruifang Wang, 2005. "Quantity discount pricing policies for heterogeneous retailers with price sensitive demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 645-658, October.
    3. Benton, W. C. & Park, Seungwook, 1996. "A classification of literature on determining the lot size under quantity discounts," European Journal of Operational Research, Elsevier, vol. 92(2), pages 219-238, July.
    4. Sher, Mikhail M. & Kim, Seung-Lae & Banerjee, Avijit & Paz, Michael T., 2018. "A supply chain coordination mechanism for common items subject to failure in the electronics, defense, and medical industries," International Journal of Production Economics, Elsevier, vol. 203(C), pages 164-173.
    5. Chan, Chi Kin & Lee, Y.C.E., 2012. "A co-ordination model combining incentive scheme and co-ordination policy for a single-vendor–multi-buyer supply chain," International Journal of Production Economics, Elsevier, vol. 135(1), pages 136-143.
    6. Beck, Fabian G. & Glock, Christoph H. & Kim, Taebok, 2017. "Coordination of a production network with a single buyer and multiple vendors with geometrically increasing batch shipments," International Journal of Production Economics, Elsevier, vol. 193(C), pages 633-646.
    7. Shin, Hojung & Benton, W.C., 2007. "A quantity discount approach to supply chain coordination," European Journal of Operational Research, Elsevier, vol. 180(2), pages 601-616, July.
    8. Kelle, Peter & Al-khateeb, Faisal & Anders Miller, Pam, 2003. "Partnership and negotiation support by joint optimal ordering/setup policies for JIT," International Journal of Production Economics, Elsevier, vol. 81(1), pages 431-441, January.
    9. Siajadi, Hans & Ibrahim, Raafat N. & Lochert, Paul B., 2006. "Joint economic lot size in distribution system with multiple shipment policy," International Journal of Production Economics, Elsevier, vol. 102(2), pages 302-316, August.
    10. Viswanathan, S. & Wang, Qinan, 2003. "Discount pricing decisions in distribution channels with price-sensitive demand," European Journal of Operational Research, Elsevier, vol. 149(3), pages 571-587, September.
    11. Qinan Wang, 2002. "Determination of suppliers' optimal quantity discount schedules with heterogeneous buyers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 46-59, February.
    12. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2006. "Buyer vendor coordination models in supply chain management," European Journal of Operational Research, Elsevier, vol. 175(1), pages 1-15, November.
    13. Lin, Feng & Jia, Tao & Wu, Feng & Yang, Zhen, 2019. "Impacts of two-stage deterioration on an integrated inventory model under trade credit and variable capacity utilization," European Journal of Operational Research, Elsevier, vol. 272(1), pages 219-234.
    14. Ricardo Ernst & Jose Ignacio López-Sánchez & David Urbano, 2009. "A Negotiation Model for Inducing Higher Service in a Distribution Channel," Group Decision and Negotiation, Springer, vol. 18(5), pages 499-517, September.
    15. Sarmah, S.P. & Acharya, D. & Goyal, S.K., 2008. "Coordination of a single-manufacturer/multi-buyer supply chain with credit option," International Journal of Production Economics, Elsevier, vol. 111(2), pages 676-685, February.
    16. Zhou, Yong-Wu & Zhong, Yuanguang & Li, Jicai, 2012. "An uncooperative order model for items with trade credit, inventory-dependent demand and limited displayed-shelf space," European Journal of Operational Research, Elsevier, vol. 223(1), pages 76-85.
    17. Ouyang, Liang-Yuh & Ho, Chia-Huei & Su, Chia-Hsien, 2008. "Optimal strategy for an integrated system with variable production rate when the freight rate and trade credit are both linked to the order quantity," International Journal of Production Economics, Elsevier, vol. 115(1), pages 151-162, September.
    18. Po-Yu Chen, 2017. "Optimal Retail Price Model for Partial Consignment to Multiple Retailers," Complexity, Hindawi, vol. 2017, pages 1-11, December.
    19. Zavanella, Lucio & Zanoni, Simone, 2009. "A one-vendor multi-buyer integrated production-inventory model: The 'Consignment Stock' case," International Journal of Production Economics, Elsevier, vol. 118(1), pages 225-232, March.
    20. Schneeweiss, Christoph & Zimmer, Kirstin, 2004. "Hierarchical coordination mechanisms within the supply chain," European Journal of Operational Research, Elsevier, vol. 153(3), pages 687-703, March.
    21. Kelle, Peter & Transchel, Sandra & Minner, Stefan, 2009. "Buyer-supplier cooperation and negotiation support with random yield consideration," International Journal of Production Economics, Elsevier, vol. 118(1), pages 152-159, March.
    22. Lee, Chang Hwan, 2001. "Coordinated stocking, clearance sales, and return policies for a supply chain," European Journal of Operational Research, Elsevier, vol. 131(3), pages 491-513, June.

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