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A Note on Assemble-to-Order Systems with Batch Ordering

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  • Jing-Sheng Song

    ()
    (Graduate School of Management, University of California, Irvine, California 92697)

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    Abstract

    We study an assemble-to-order inventory system. The stocks are held for components, with final products assembled only when customer orders are realized. Customer orders form a multivariate compound Poisson process, component replenishment leadtimes are constant, and demands in excess of inventory on hand are backlogged. The component inventories are controlled by (R, nQ) policies. We show that under certain general conditions the inventory position vector has a uniform equilibrium distribution. This result generalizes the corresponding single-item theory considerably. It allows us to express the key performance measures of the system, such as order fill rates and average order-based backorders, as the averages of their counterparts in the base-stock systems.

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    File URL: http://dx.doi.org/10.1287/mnsc.46.5.739.12043
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 46 (2000)
    Issue (Month): 5 (May)
    Pages: 739-743

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    Handle: RePEc:inm:ormnsc:v:46:y:2000:i:5:p:739-743

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    Related research

    Keywords: assemble-to-order systems; performance evaluation; multivariate compound poisson process; (R; nQ) policy; markov chain; uniform distribution;

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    Cited by:
    1. Hill, R.M. & Pakkala, T.P.M., 2007. "Base stock inventory policies for a multi-item demand process," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 137-148, September.
    2. van Jaarsveld, W.L. & Dollevoet, T.A.B., 2011. "Spare parts inventory control for an aircraft component repair shop," Econometric Institute Research Papers EI2011-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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