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On regenerative processes and inventory control

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  • Frenk, J.B.G.
  • Kleijn, M.J.

Abstract

In this paper we discuss a general framework for single item inventory control models. This framework is based on the regenerative structure of these models. Using results from the theory of regenerative processes a unified presentation of those models is presented. Although most of the results are already known for special cost structures this unified presentation yields us the possibility to show that the same techniques can be applied to each instance.

Suggested Citation

  • Frenk, J.B.G. & Kleijn, M.J., 1997. "On regenerative processes and inventory control," Econometric Institute Research Papers EI 9741/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1402
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    References listed on IDEAS

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    1. Izzet Sahin, 1979. "On the Stationary Analysis of Continuous Review ( s , S ) Inventory Systems with Constant Lead Times," Operations Research, INFORMS, vol. 27(4), pages 717-729, August.
    2. B. D. Sivazlian, 1974. "A Continous-Review ( s , S ) Inventory System with Arbitrary Interarrival Distribution between Unit Demand," Operations Research, INFORMS, vol. 22(1), pages 65-71, February.
    3. Blyth C. Archibald & Edward A. Silver, 1978. "(s, S) Policies Under Continuous Review and Discrete Compound Poisson Demand," Management Science, INFORMS, vol. 24(9), pages 899-909, May.
    4. F. R. Richards, 1975. "Technical Note—Comments on the Distribution of Inventory Position in a Continuous-Review ( s , S ) Inventory System," Operations Research, INFORMS, vol. 23(2), pages 366-371, April.
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    Keywords

    inventory; regenerative processes;

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