The model proposed in this paper aims at identifying the best allocation of a limited quantity of product to a group of retailers supplied by a unique supplier, considering the variability of the demands faced on the market. The proposed approach aims at reducing the problem of demand inflation, inherent to many rationing policies, by considering the mean and the standard deviation of the demand faced by each retailer. Moreover it could provide managerial insights for managing concurrent retailers under availability constraints.


Newsvendor problem rationing probabilistic demand stock allocation inventory management 


  1. 1.
    Arrow, K.A., Harris, T.E., Marschak, J.: Optimal inventory policy. Econometrica 19, 250–272 (1951)zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Axsäter, S., Kleijn, M., De Kok, T.G.: Stock Rationing in a Continuous Review Two-Echelon Inventory Model. Annals of Operations Research 126, 177–194 (2004)zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Cachon, G.P., Lariviere, M.A.: An equilibrium analysis of linear, proportional and uniform allocation of scarce capacity. IIE Transactions 31, 835–849 (1998)Google Scholar
  4. 4.
    Gallego, G., Moon, I.: The distribution free newsboy problem: review and extensions. Journal of operational research society 44(8), 825–834 (1993)zbMATHGoogle Scholar
  5. 5.
    Ha, A.Y.: Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales. Management Science 43, 1093–1103 (1997)zbMATHCrossRefGoogle Scholar
  6. 6.
    Herrera, F., Lozano, M., Verdegay, J.L.: Tackling Real-Coded Genetic Algorithms: Operators and Tools for Behavioural Analysis. Artificial Intelligence Review 12, 265–319 (1998)zbMATHCrossRefGoogle Scholar
  7. 7.
    Huang, B., Iravani, S.M.R.: Optimal production and rationing decisions in supply chains with information sharing. Operations Research Letters 35, 669–676 (2006)CrossRefMathSciNetGoogle Scholar
  8. 8.
    Khouja, M.: The single-period (news-vendor) problem: literature review and suggestions for future research. Omega International Journal of Management Science 27, 537–553 (1999)CrossRefGoogle Scholar
  9. 9.
    Kogan, K., Lou, S.: Multi-stage newsboy problem: A dynamic model. European Journal of Operational Research 149, 448–458 (2003)CrossRefMathSciNetGoogle Scholar
  10. 10.
    Morse, M.P., Kimbal, G.E.: Methods of Operations Research. MIT Press, Cambridge (1951)zbMATHGoogle Scholar
  11. 11.
    Schweitzer, M.E., Cachon, G.P.: Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence. Management Science 46(3), 404–420 (2000)CrossRefGoogle Scholar

Copyright information

© IFIP International Federation for Information Processing 2010

Authors and Affiliations

  • Pinto Roberto
    • 1
  1. 1.CELS – Research Center on Logistics and After-Sales ServicesUniversity of BergamoDalmineItaly

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