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A Constructive Methodology to Solving the Capacitated Newsvendor Problem: an Approximate Approach

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Listed:
  • Layek Abdel-Malek

    (New Jersey Institute of Technology)

  • Pinyuan Shan

    (New Jersey Institute of Technology)

  • Roberto Montanari

    (Università di Parma)

Abstract

The applications of the capacitated newsvendor problem are numerous. They range from inventory control, supply chain management, and airlines seat reservation to stock market applications. While several solution methodologies exist for this problem, most of them require advanced mathematical programming techniques or specifically developed iterative models. To complement these solution approaches and facilitate wider dissemination of this model particularly to upper-undergraduate and first-year graduate students as well as practitioners in related fields, in this paper, we develop an approximate solution methodology that is based on constructive approaches. These approaches already exist in standard textbooks of operations research, management science, and other similar disciplines. The two models utilized in the development are the classical newsvendor and the network flow model. Numerical comparisons are drawn between existing solution methodologies and the developed ones. Also, an example is presented to show the steps of the developed methodology.

Suggested Citation

  • Layek Abdel-Malek & Pinyuan Shan & Roberto Montanari, 2020. "A Constructive Methodology to Solving the Capacitated Newsvendor Problem: an Approximate Approach," SN Operations Research Forum, Springer, vol. 1(2), pages 1-16, June.
  • Handle: RePEc:spr:snopef:v:1:y:2020:i:2:d:10.1007_s43069-020-0008-7
    DOI: 10.1007/s43069-020-0008-7
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    References listed on IDEAS

    as
    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Lau, Hon-Shiang & Hing-Ling Lau, Amy, 1996. "The newsstand problem: A capacitated multiple-product single-period inventory problem," European Journal of Operational Research, Elsevier, vol. 94(1), pages 29-42, October.
    3. Khouja, Moutaz & Liu, Xin & Zhou, Jing, 2020. "To sell or not to sell to an off-price retailer in the presence of strategic consumers," Omega, Elsevier, vol. 90(C).
    4. Niederhoff, Julie A., 2007. "Using separable programming to solve the multi-product multiple ex-ante constraint newsvendor problem and extensions," European Journal of Operational Research, Elsevier, vol. 176(2), pages 941-955, January.
    5. Natapat Areerakulkan, 2017. "Quadratic Approximation of the Newsvendor Problem with Imperfect Quality," Journal of Reviews on Global Economics, Lifescience Global, vol. 6, pages 335-341.
    6. Abdel-Malek, Layek & Montanari, Roberto & Meneghetti, Diego, 2008. "The capacitated newsboy problem with random yield: The Gardener Problem," International Journal of Production Economics, Elsevier, vol. 115(1), pages 113-127, September.
    7. Zhang, Bin & Xu, Xiaoyan & Hua, Zhongsheng, 2009. "A binary solution method for the multi-product newsboy problem with budget constraint," International Journal of Production Economics, Elsevier, vol. 117(1), pages 136-141, January.
    8. Wang, Dan & Qin, Zhongfeng & Kar, Samarjit, 2015. "A novel single-period inventory problem with uncertain random demand and its application," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 133-145.
    9. Abdel-Malek, Layek L. & Montanari, Roberto, 2005. "An analysis of the multi-product newsboy problem with a budget constraint," International Journal of Production Economics, Elsevier, vol. 97(3), pages 296-307, September.
    10. Abdel-Malek, Layek L. & Areeratchakul, Nathapol, 2007. "A quadratic programming approach to the multi-product newsvendor problem with side constraints," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1607-1619, February.
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