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Optimal (r, Q) inventory policies with Poisson demands and lost sales: discounted and undiscounted cases

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  • Johansen, Soren Glud
  • Thorstenson, Anders

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  • Johansen, Soren Glud & Thorstenson, Anders, 1996. "Optimal (r, Q) inventory policies with Poisson demands and lost sales: discounted and undiscounted cases," International Journal of Production Economics, Elsevier, vol. 46(1), pages 359-371, December.
    • Handle: RePEc:eee:proeco:v:46-47:y:1996:i:1:p:359-371
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    References listed on IDEAS

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    1. Martin Beckmann, 1961. "An Inventory Model for Arbitrary Interval and Quantity Distributions of Demand," Management Science, INFORMS, vol. 8(1), pages 35-57, October.
    2. Blyth C. Archibald, 1981. "Continuous Review (s, S) Policies with Lost Sales," Management Science, INFORMS, vol. 27(10), pages 1171-1177, October.
    3. G. Hadley, 1964. "A Comparison of Order Quantities Computed Using the Average Annual Cost and the Discounted Cost," Management Science, INFORMS, vol. 10(3), pages 472-476, April.
    4. Hill, Roger M., 1992. "Numerical analysis of a continuous-review lost-sales inventory model where two orders may be outstanding," European Journal of Operational Research, Elsevier, vol. 62(1), pages 11-26, October.
    5. Unknown, 1968. "Agricultural Policies in Africa and West Asia," Foreign Agricultural Economic Report (FAER) 144801, United States Department of Agriculture, Economic Research Service.
    6. Awi Federgruen & Yu-Sheng Zheng, 1992. "An Efficient Algorithm for Computing an Optimal (r, Q) Policy in Continuous Review Stochastic Inventory Systems," Operations Research, INFORMS, vol. 40(4), pages 808-813, August.
    7. Johansen, Soren Glud & Thorstenson, Anders, 1993. "Optimal and approximate (Q, r) inventory policies with lost sales and gamma-distributed lead time," International Journal of Production Economics, Elsevier, vol. 30(1), pages 179-194, July.
    8. Yu-Sheng Zheng & A. Federgruen, 1991. "Finding Optimal (s, S) Policies Is About As Simple As Evaluating a Single Policy," Operations Research, INFORMS, vol. 39(4), pages 654-665, August.
    9. Ellis L. Johnson, 1968. "On (s, S) Policies," Management Science, INFORMS, vol. 15(1), pages 80-101, September.
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    Cited by:

    1. Olsson, Fredrik, 2009. "Optimal policies for inventory systems with lateral transshipments," International Journal of Production Economics, Elsevier, vol. 118(1), pages 175-184, March.
    2. Erica L. Plambeck & Amy R. Ward, 2007. "Note: A Separation Principle for a Class of Assemble-to-Order Systems with Expediting," Operations Research, INFORMS, vol. 55(3), pages 603-609, June.
    3. Grubbström, Robert W., 2010. "The Newsboy problem when customer demand is a compound renewal process," European Journal of Operational Research, Elsevier, vol. 203(1), pages 134-142, May.
    4. Hill, Roger M. & Dominey, Matthew J., 2001. "Inventory policies for all-or-nothing demand processes," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 365-371, May.
    5. Hill, Roger M. & Johansen, Soren Glud, 2006. "Optimal and near-optimal policies for lost sales inventory models with at most one replenishment order outstanding," European Journal of Operational Research, Elsevier, vol. 169(1), pages 111-132, February.
    6. Mor Armony & Erica Plambeck & Sridhar Seshadri, 2009. "Sensitivity of Optimal Capacity to Customer Impatience in an Unobservable M/M/S Queue (Why You Shouldn't Shout at the DMV)," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 19-32, June.
    7. Farvid, Mojtaba & Rosling, Kaj, 2014. "The discounted (R,Q) inventory model—The Shrewd Accountant's Heuristic," International Journal of Production Economics, Elsevier, vol. 149(C), pages 17-27.
    8. Fredrik Olsson, 2014. "Analysis of inventory policies for perishable items with fixed leadtimes and lifetimes," Annals of Operations Research, Springer, vol. 217(1), pages 399-423, June.
    9. Lan, Chun-Hsiung, 2007. "The design of multiple production lines under deadline constraint," International Journal of Production Economics, Elsevier, vol. 106(1), pages 191-203, March.
    10. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
    11. Konur, Dinçer & Campbell, James F. & Monfared, Sepideh A., 2017. "Economic and environmental considerations in a stochastic inventory control model with order splitting under different delivery schedules among suppliers," Omega, Elsevier, vol. 71(C), pages 46-65.
    12. Bijvank, Marco & Johansen, Søren Glud, 2012. "Periodic review lost-sales inventory models with compound Poisson demand and constant lead times of any length," European Journal of Operational Research, Elsevier, vol. 220(1), pages 106-114.

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