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An efficient heuristic for the multi‐item newsboy problem with a single constraint

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  • Steven Nahmias
  • Charles P. Schmidt

Abstract

This article treats the problem of determining optimal and approximately optimal order quantities for a multiple‐item inventory system subject to a single constraint on space or budget. Although this problem can be solved by the usual method of Lagrange multipliers, we wish to consider a more efficient scheme that requires fewer computations. We provide calculations that compare and contrast four approximation techniques. In particular, we have discovered a method that yields a direct algebraic expression of the problem parameters for allocation and achieves an expected profit within 90% of the optimal in about 90% of the cases tested.

Suggested Citation

  • Steven Nahmias & Charles P. Schmidt, 1984. "An efficient heuristic for the multi‐item newsboy problem with a single constraint," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(3), pages 463-474, September.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:3:p:463-474
    DOI: 10.1002/nav.3800310311
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    Cited by:

    1. Kaijie Zhu & Ulrich W. Thonemann, 2009. "Coordination of pricing and inventory control across products," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 175-190, March.
    2. McRae, Sebastian & Brunner, Jens O., 2020. "Assessing the impact of uncertainty and the level of aggregation in case mix planning," Omega, Elsevier, vol. 97(C).
    3. van Eekelen, Wouter, 2023. "Distributionally robust views on queues and related stochastic models," Other publications TiSEM 9b99fc05-9d68-48eb-ae8c-9, Tilburg University, School of Economics and Management.
    4. Baloch, Gohram & Gzara, Fatma, 2020. "Capacity and assortment planning under one-way supplier-driven substitution for pharmacy kiosks with low drug demand," European Journal of Operational Research, Elsevier, vol. 282(1), pages 108-128.
    5. Chen, Junlin & Feng, Xiaojing & Kou, Gang & Mu, Mengting, 2023. "Multiproduct newsvendor with cross-selling and narrow-bracketing behavior using data mining methods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    6. Suhan Wu & Min Luo & Jingxia Zhang & Daoheng Zhang & Lianmin Zhang, 2022. "Pharmaceutical Supply Chain in China: Pricing and Production Decisions with Price-Sensitive and Uncertain Demand," Sustainability, MDPI, vol. 14(13), pages 1-28, June.

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