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Algorithms for a continuous-review (s, S) inventory system

Published online by Cambridge University Press:  14 July 2016

V. Ramaswami
V. Ramaswami*
Affiliation:
Drexel University
*
∗Postal address: Department of Mathematical Sciences, Drexel University, Philadelphia, PA 19104, U.S.A.
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Abstract

The steady-state distribution of the inventory position for a continuous-review (s, S) inventory system is derived in a computationally tractable form. Demands for items in inventory are assumed to form an N-process which is the ‘versatile Markovian point process' introduced by Neuts (1979). The N-process includes the phase-type renewal process, Markov-modulated Poisson process etc., as special cases and is especially useful in modelling a wide variety of qualitative phenomena such as peaked arrivals, interruptions, inhibition or stimulation of arrivals by certain events etc.

Keywords

COMPUTATIONAL PROBABILITYCONTINUOUS-REVIEW INVENTORYN-PROCESSPHASE-TYPE DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 461 - 472
Copyright
Copyright © Applied Probability Trust 

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References

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