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Multiple products, multiple constraints, single period inventory problem: A Hierarchical solution procedure

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  • Kumar Satyendra
  • Venkata Rao, V.
  • Tirupati Devanath

Abstract

This paper presents the formulation and a hierarchical solution procedure of multiple products, multiple constraints, single period inventory problem. The hierarchical procedure decomposes the problem into a number of sub-problems equal to the number of constraints sets. Each sub-problem is solved optimally by applying Lagrange multipliers and satisfying Kuhn-Tucker conditions. The experimental results show that the hierarchical procedure performs well even when there are large a number of products and constraints.

Suggested Citation

  • Kumar Satyendra & Venkata Rao, V. & Tirupati Devanath, 2003. "Multiple products, multiple constraints, single period inventory problem: A Hierarchical solution procedure," IIMA Working Papers WP2003-11-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:wp01787
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    References listed on IDEAS

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    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. Uday S. Karmarkar, 1981. "The Multiperiod Multilocation Inventory Problem," Operations Research, INFORMS, vol. 29(2), pages 215-228, April.
    3. 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.
    4. S. D. Hodges & P. G. Moore, 1970. "The Product-Mix Problem under Stochastic Seasonal Demand," Management Science, INFORMS, vol. 17(2), pages 107-114, October.
    5. Vairaktarakis, George L., 2000. "Robust multi-item newsboy models with a budget constraint," International Journal of Production Economics, Elsevier, vol. 66(3), pages 213-226, July.
    6. Lau, Hon-Shiang & Lau, Amy Hing-Ling, 1997. "Some results on implementing a multi-item multi-constraint single-period inventory model," International Journal of Production Economics, Elsevier, vol. 48(2), pages 121-128, January.
    7. Hon-Shiang Lau, 1997. "Simple formulas for the expected costs in the newsboy problem: An educational note," European Journal of Operational Research, Elsevier, vol. 100(3), pages 557-561, August.
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