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여러 가지 뉴스벤더모델의 기대값 사이의 관계에 대한 견고한 추측
A Robust Conjecture on the Relationship among the Expected Profits of Various Newsvendor Models

원유경    (군산대학교 경영학부  );
  • 초록

    The present study provides some extensions over a recent work in Won (2011) which investigates properties of the static newsvendor problem under a schedule involving progressive multiple discounts under the assumption that demand is given exogenously. Khouja (1995, 1996) formulated the extended versions over the classical newsvendor model with various discount policies including all-units discount and/or multiple discounts and found that the extended newsvendor models with discount schedules yield higher optimal expected profits than the classical newsvendor model with no-discounts. In this study, we establish a robust conjecture as a stronger statement than Khouja's findings with regard to the general relationship among the expected profits of newsvendor models in the sense that the conjecture holds for every order quantity as well as the optimal order quantity. The conjecture encourages the newsvendor facing quantity discounts to safely implement her own discounts policy to customer or accept quantity discounts offered by the supplier even if the optimal order quantity cannot be ordered due to additional restrictions such as budget or warehouse capacity constraints because the newsvendor models with quantity discounts always yield higher expected profit than the classic newsvendor model without quantity discounts regardless of the order quantity. Results from wide experiments with various probability distributions of demand strongly support our conjecture.


  • 주제어

    Newsvendor Problem .   Riskless Profit .   All-Units Discount .   Progressive Multiple Discounts.  

  • 참고문헌 (15)

    1. Cachon, G. and C. Terwiesch, Matching Supply with Demand, 2nded., 2009, MaGraw-Hill/Irwin, New York. 
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    3. Erlebacher, S.J., "Optimal and heuristic solutions for the multi-item newsvendor problem with a single capacity constraint," Production and Operations Management, Vol.9, No.3(2000), pp.303-318. 
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    5. Khouja, M., "The newsboy problem under progressive multiple discounts," European Journal of Operational Research, Vol.84, No.2(1995), pp.458-466. 
    6. Khouja, M., "The newsboy problem with progressive retailer discounts and supplier quantity discounts," Decision Sciences, Vol.27, No.3(1996), pp.589-599. 
    7. Khouja, M., "The single-period (news-vendor) problem : literature review and suggestions for future research," Omega, Vol.27, No.5(1999), pp.537-553. 
    8. Khouja, M., "Optimal ordering, discounting, and pricing in the single-period problem," International Journal of Production Economics, Vol.65, No.2(2000), pp.201-216. 
    9. Lau, H., "The newsboy problem under alternative optimization objectives," Journal of Operational Research Society, Vol.31, No.6(1980), pp.525-535. 
    10. Lau, A. and H. Lau, "The newsboy problem with price-dependent demand distribution," IIE Transactions, Vol.20, No.2(1988), pp.168-175. 
    11. Petruzzi, N.C. and M. Dada, "Pricing and the newsvendor problem : a review with extensions," Operations Research, Vol.47, No.2(1999), pp.183-194. 
    12. Qin, Y., R. Wang, A.J. Vakharia, Y. Chen, and M.M.H. Seref, "The newsvendor problem : Review and directions for future research," European Journal of Operational Research, Vol.213, No.2(2011), pp.361-374. 
    13. Ward, S.C., C.B. Chapman, and J.H. Klein, "Theoretical versus applied models : the newsboy problem," Omega, Vol.19, No.4(1991), pp.197-206. 
    14. Won, Y., "Some conjectures for the news-vendor problem under progressive multiple discounts," Journal of the Korean Operations Research and Management Science Society, Vol.36, No.3(2011), pp.27-43.     
    15. Zhang, G., "The multi-product newsboy problem with supplier quantity discounts and a budget constraint," European Journal of Operational Research, Vol.206, No.1(2010), pp.350-360. 

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