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Dynamic Inventory Policy with Varying Stochastic Demands


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  • Samuel Karlin

    (Stanford University)

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    A dynamic inventory model is formulated in which the demand distributions may change from period to period. The optimal policy at each stage is characterized by a single critical number which also could vary in successive periods. The dependence of the critical numbers as a function of stochastic ordering amongst distributions is developed under various conditions. Most of the studies are conducted under the assumption of linear purchasing cost. In §3 the possibility of convex purchasing cost is allowed.

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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 6 (1960)
    Issue (Month): 3 (April)
    Pages: 231-258

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    Handle: RePEc:inm:ormnsc:v:6:y:1960:i:3:p:231-258

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    Cited by:
    1. Martinez de Albeniz, Victor & Lago, Alejandro, 2007. "Myopic inventory policies using individual customer arrival information," IESE Research Papers D/719, IESE Business School.
    2. C. Erik Larson Lars J. Olson** and Sunil Sharma***, 1991. "Optimal Inventory Policies When The Demand Distribution Is Not Known#," UCLA Economics Working Papers 631, UCLA Department of Economics.
    3. Bulinskaya, E. V., 2004. "Stochastic orders and inventory problems," International Journal of Production Economics, Elsevier, vol. 88(2), pages 125-135, March.
    4. Zhang, Xiaolong, 2004. "The impact of forecasting methods on the bullwhip effect," International Journal of Production Economics, Elsevier, vol. 88(1), pages 15-27, March.
    5. Iida, Tetsuo, 1999. "The infinite horizon non-stationary stochastic inventory problem: Near myopic policies and weak ergodicity," European Journal of Operational Research, Elsevier, vol. 116(2), pages 405-422, July.
    6. Petruzzi, Nicholas & Monahan, George E., 2002. "Managing Fashion Goods Inventories:," Working Papers 02-0117, University of Illinois at Urbana-Champaign, College of Business.
    7. Argon, Nilay Tanik & Gullu, Refik & Erkip, Nesim, 2001. "Analysis of an inventory system under backorder correlated deterministic demand and geometric supply process," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 247-254, May.
    8. Tunc, Huseyin & Kilic, Onur A. & Tarim, S. Armagan & Eksioglu, Burak, 2011. "The cost of using stationary inventory policies when demand is non-stationary," Omega, Elsevier, vol. 39(4), pages 410-415, August.
    9. Mette Asmild & Kurt Nielsen & Peter Bogetoft, 2012. "Are high labour costs destroying the competitiveness of Danish dairy farmers? Evidence from an international benchmarking analysis," MSAP Working Paper Series 01_2012, University of Copenhagen, Department of Food and Resource Economics.
    10. Glenn, David & Bisi, Arnab & Puterman, Martin L., 2004. "The Bayesian Newsvendors in Supply Chains with Unobserved Lost Sales," Working Papers 04-0110, University of Illinois at Urbana-Champaign, College of Business.
    11. Vargas, Vicente & Metters, Richard, 2011. "A master production scheduling procedure for stochastic demand and rolling planning horizons," International Journal of Production Economics, Elsevier, vol. 132(2), pages 296-302, August.
    12. Iida, Tetsuo, 2002. "A non-stationary periodic review production-inventory model with uncertain production capacity and uncertain demand," European Journal of Operational Research, Elsevier, vol. 140(3), pages 670-683, August.
    13. Chen, Frank Y. & Krass, Dmitry, 2001. "Analysis of supply contracts with minimum total order quantity commitments and non-stationary demands," European Journal of Operational Research, Elsevier, vol. 131(2), pages 309-323, June.
    14. Bitran, Gabriel R. & Wadhwa, Hitendra K. S. (Hitendra Kumar Singh), 1996. "A methodology for demand learning with an application to the optimal pricing of seasonal products," Working papers 3898-96., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    15. Iida, Tetsuo, 2001. "The infinite horizon non-stationary stochastic multi-echelon inventory problem and near-myopic policies," European Journal of Operational Research, Elsevier, vol. 134(3), pages 525-539, November.
    16. Abdulkadiroglu, Atila & Sonmez, Tayfun, 2003. "Ordinal efficiency and dominated sets of assignments," Journal of Economic Theory, Elsevier, vol. 112(1), pages 157-172, September.
    17. Özen, Ulaş & Doğru, Mustafa K. & Armagan Tarim, S., 2012. "Static-dynamic uncertainty strategy for a single-item stochastic inventory control problem," Omega, Elsevier, vol. 40(3), pages 348-357.


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