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Waiting Time in an ( S − 1, S ) Inventory System

Author

Listed:
  • Isamu Higa

    (Kansas State University, Manhattan, Kansas)

  • Arlin M. Feyerherm

    (Kansas State University, Manhattan, Kansas)

  • Arlette L. Machado

    (Kansas State University, Manhattan, Kansas)

Abstract

Steady-state distribution functions are derived for waiting time in an ( S − 1, S ) inventory system in which arrivals are governed by members of the geometric Poisson family, resupply times are independently and identically distributed negative exponential variates, and service is on a first-come-first-served basis. For small values of S , probabilities can be computed readily from the final forms of the distribution functions using gamma and exponential function tables.

Suggested Citation

  • Isamu Higa & Arlin M. Feyerherm & Arlette L. Machado, 1975. "Waiting Time in an ( S − 1, S ) Inventory System," Operations Research, INFORMS, vol. 23(4), pages 674-680, August.
  • Handle: RePEc:inm:oropre:v:23:y:1975:i:4:p:674-680
    DOI: 10.1287/opre.23.4.674
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    Cited by:

    1. Mauricio Varas & Franco Basso & Armin Lüer-Villagra & Alejandro Mac Cawley & Sergio Maturana, 2019. "Managing premium wines using an $$(s - 1,s)$$ ( s - 1 , s ) inventory policy: a heuristic solution approach," Annals of Operations Research, Springer, vol. 280(1), pages 351-376, September.

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