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Analysis of the Newsboy Problem subject to price dependent demand and multiple discounts

Author

Listed:
  • Shouyu Ma

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

  • Zied Jemai
  • Evren Sahin

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

  • Yves Dallery

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

Abstract

Existing papers on the Newsboy Problem that deal with price dependent demand and multiple discounts often analyze those two problems separately. This paper considers a setting where price dependence and multiple discounts are observed simultaneously, as is the case of the apparel industry. Henceforth, we analyze the optimal order quantity, initial selling price and discount scheme in the News-Vendor Problem context. The term of discount scheme is often used to specify the number of discounts as well as the discount percentages. We present a solution procedure of the problem with general demand distributions and two types of price-dependent demand: additive case and multiplicative case. We provide interesting insights based on a numerical study. An approximation method is proposed which confirms our numerical results.

Suggested Citation

  • Shouyu Ma & Zied Jemai & Evren Sahin & Yves Dallery, 2018. "Analysis of the Newsboy Problem subject to price dependent demand and multiple discounts," Post-Print hal-01672382, HAL.
    • Handle: RePEc:hal:journl:hal-01672382
    DOI: 10.3934/jimo.2017083
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    Cited by:

    1. Ma, Shouyu & Jemai, Zied & Bai, Qingguo, 2022. "Optimal pricing and ordering decisions for a retailer using multiple discounts," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1177-1192.
    2. Mehran Ullah & Irfanullah Khan & Biswajit Sarkar, 2019. "Dynamic Pricing in a Multi-Period Newsvendor Under Stochastic Price-Dependent Demand," Mathematics, MDPI, vol. 7(6), pages 1-15, June.

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