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Optimal and near-optimal policies for lost sales inventory models with at most one replenishment order outstanding

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  • Hill, Roger M.
  • Johansen, Soren Glud

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  • 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.
    • Handle: RePEc:eee:ejores:v:169:y:2006:i:1:p:111-132
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    1. Blyth C. Archibald, 1981. "Continuous Review (s, S) Policies with Lost Sales," Management Science, INFORMS, vol. 27(10), pages 1171-1177, October.
    2. Baganha, Manuel P. & Pyke, David F. & Ferrer, Geraldo, 1996. "The undershoot of the reorder point: Tests of an approximation," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 311-320, August.
    3. Thomas E. Morton, 1971. "The Near-Myopic Nature of the Lagged-Proportional-Cost Inventory Problem with Lost Sales," Operations Research, INFORMS, vol. 19(7), pages 1708-1716, December.
    4. Hill, Roger M., 1994. "Continuous review lost sales inventory models where two orders may be outstanding," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 313-319, June.
    5. van Donselaar, Karel & de Kok, Ton & Rutten, Werner, 1996. "Two replenishment strategies for the lost sales inventory model: A comparison," International Journal of Production Economics, Elsevier, vol. 46(1), pages 285-295, December.
    6. Steven Nahmias, 1979. "Simple Approximations for a Variety of Dynamic Leadtime Lost-Sales Inventory Models," Operations Research, INFORMS, vol. 27(5), pages 904-924, October.
    7. 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.
    8. Jansen, J.B., 1998. "Service and inventory models subject to a delay-limit," Other publications TiSEM d51b1fee-e8a2-46bc-b331-1, Tilburg University, School of Economics and Management.
    9. Hill, Roger M., 1999. "On the suboptimality of (S-1, S) lost sales inventory policies," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 387-393, March.
    10. 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.
    11. 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.
    12. Johansen, Soren Glud & Hill, Roger M., 2000. "The (r,Q) control of a periodic-review inventory system with continuous demand and lost sales," International Journal of Production Economics, Elsevier, vol. 68(3), pages 279-286, December.
    13. Johansen, Soren Glud, 2001. "Pure and modified base-stock policies for the lost sales inventory system with negligible set-up costs and constant lead times," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 391-399, May.
    14. Søren Asmussen & David Perry, 1998. "An Operational Calculus for Matrix-Exponential Distributions, with Applications to a Brownian (q, Q) Inventory Model," Mathematics of Operations Research, INFORMS, vol. 23(1), pages 166-176, February.
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    Cited by:

    1. Bijvank, Marco & Bhulai, Sandjai & Tim Huh, Woonghee, 2015. "Parametric replenishment policies for inventory systems with lost sales and fixed order cost," European Journal of Operational Research, Elsevier, vol. 241(2), pages 381-390.
    2. Ehrenthal, J.C.F. & Honhon, D. & Van Woensel, T., 2014. "Demand seasonality in retail inventory management," European Journal of Operational Research, Elsevier, vol. 238(2), pages 527-539.
    3. Dehaybe, Henri & Catanzaro, Daniele & Chevalier, Philippe, 2024. "Deep Reinforcement Learning for inventory optimization with non-stationary uncertain demand," European Journal of Operational Research, Elsevier, vol. 314(2), pages 433-445.
    4. Lee, Jun-Yeon & Schwarz, Leroy B., 2007. "Leadtime reduction in a (Q,r) inventory system: An agency perspective," International Journal of Production Economics, Elsevier, vol. 105(1), pages 204-212, January.
    5. Karel H. van Donselaar & Vishal Gaur & Tom van Woensel & Rob A. C. M. Broekmeulen & Jan C. Fransoo, 2010. "Ordering Behavior in Retail Stores and Implications for Automated Replenishment," Management Science, INFORMS, vol. 56(5), pages 766-784, May.
    6. Haijema, René, 2013. "A new class of stock-level dependent ordering policies for perishables with a short maximum shelf life," International Journal of Production Economics, Elsevier, vol. 143(2), pages 434-439.
    7. Lengu, D. & Syntetos, A.A. & Babai, M.Z., 2014. "Spare parts management: Linking distributional assumptions to demand classification," European Journal of Operational Research, Elsevier, vol. 235(3), pages 624-635.
    8. Bijvank, Marco & Vis, Iris F.A., 2012. "Lost-sales inventory systems with a service level criterion," European Journal of Operational Research, Elsevier, vol. 220(3), pages 610-618.
    9. 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.
    10. SPRINGAEL, Johan & VAN NIEUWENHUYSE, Inneke, 2006. "On the sum of independent zero-truncated Poisson random variables," Working Papers 2006011, University of Antwerp, Faculty of Business and Economics.
    11. van Donselaar, Karel H. & Broekmeulen, Rob A.C.M., 2013. "Determination of safety stocks in a lost sales inventory system with periodic review, positive lead-time, lot-sizing and a target fill rate," International Journal of Production Economics, Elsevier, vol. 143(2), pages 440-448.
    12. Kouki, Chaaben & Jouini, Oualid, 2015. "On the effect of lifetime variability on the performance of inventory systems," International Journal of Production Economics, Elsevier, vol. 167(C), pages 23-34.
    13. Kim, Eungab & Park, Taeho, 2016. "Admission and inventory control of a single-component make-to-order production system with replenishment setup cost and lead time," European Journal of Operational Research, Elsevier, vol. 255(1), pages 91-102.

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