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Optimality of Base-Stock and (s, S) Policies for Inventory Problems with Information Delays

Author

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  • A. Bensoussan

    (University of Texas at Dallas)

  • M. Çakanyildirim

    (University of Texas at Dallas)

  • S. P. Sethi

    (University of Texas at Dallas)

Abstract

Information delays exist when the most recent inventory information available to the inventory manager (IM) is dated; namely, the IM observes only the inventory level of an earlier period. We introduce information delays into the standard multiperiod stochastic inventory problem with backorders. We consider two types of information delays: (i) a constant delay and (ii) a random delay. We define an appropriate reference inventory position, which is a sufficient statistics for finding the optimal order quantity. We show that the optimal ordering policy is of base-stock type with respect to the reference inventory position and is of (s, S) type if there is also a fixed cost of ordering.

Suggested Citation

  • A. Bensoussan & M. Çakanyildirim & S. P. Sethi, 2006. "Optimality of Base-Stock and (s, S) Policies for Inventory Problems with Information Delays," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 153-172, August.
    • Handle: RePEc:spr:joptap:v:130:y:2006:i:2:d:10.1007_s10957-006-9106-8
    DOI: 10.1007/s10957-006-9106-8
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    References listed on IDEAS

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    1. Q. Feng & G. Gallego & S. P. Sethi & H. Yan & H. Zhang, 2005. "Periodic-Review Inventory Model with Three Consecutive Delivery Modes and Forecast Updates," Journal of Optimization Theory and Applications, Springer, vol. 124(1), pages 137-155, January.
    2. D. Beyer & S. P. Sethi & M. Taksar, 1998. "Inventory Models with Markovian Demands and Cost Functions of Polynomial Growth," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 281-323, August.
    3. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    4. Qi Feng & Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2006. "Are Base-Stock Policies Optimal in Inventory Problems with Multiple Delivery Modes?," Operations Research, INFORMS, vol. 54(4), pages 801-807, August.
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    Cited by:

    1. Hoberg, Kai & Thonemann, Ulrich W., 2014. "Modeling and analyzing information delays in supply chains using transfer functions," International Journal of Production Economics, Elsevier, vol. 156(C), pages 132-145.
    2. Hosoda, Takamichi & Disney, Stephen M., 2012. "A delayed demand supply chain: Incentives for upstream players," Omega, Elsevier, vol. 40(4), pages 478-487.
    3. Ju, Wanrong & Gabor, Adriana F. & van Ommeren, J.C.W., 2015. "An approximate policy for a dual-sourcing inventory model with positive lead times and binomial yield," European Journal of Operational Research, Elsevier, vol. 244(2), pages 490-497.
    4. Hosoda, Takamichi & Disney, Stephen M., 2012. "On the replenishment policy when the market demand information is lagged," International Journal of Production Economics, Elsevier, vol. 135(1), pages 458-467.
    5. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    6. Protopappa-Sieke, Margarita & Seifert, Ralf W., 2010. "Interrelating operational and financial performance measurements in inventory control," European Journal of Operational Research, Elsevier, vol. 204(3), pages 439-448, August.

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