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

Isamu Higa, Arlin M. Feyerherm and Arlette L. Machado
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Isamu Higa: Kansas State University, Manhattan, Kansas
Arlin M. Feyerherm: Kansas State University, Manhattan, Kansas
Arlette L. Machado: Kansas State University, Manhattan, Kansas

Operations Research, 1975, vol. 23, issue 4, 674-680

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.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:23:y:1975:i:4:p:674-680

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