On a continuous review production-inventory problem
type: Item
instance of: scholarly article
title: On a continuous review production-inventory problem
zbMATH Open document ID: 0556.90017
DOI: 10.1016/0167-6377(84)90026-9
published in: Operations Research Letters
publication date: 1984-01-01T00:00:00Z
review text: The author considers a single product production-inventory system, where both the input into the inventory and the demand for the product follow a Poisson process. As soon as the stock level reaches S, the machine is shut off. It is put back into operation as soon as the stock level drops down to s. The machine itself is subject to failure; life time is exponentially distributed, repair time has an arbitrary distribution. As a main result, the inventory level is studied as a function of time. In particular, its asymptotic behaviour is derived. Furthermore, some related problems are investigated and an asymptotic cost rate is introduced, which may be employed to determine s and S in an optimal way.
reviewed by: Karl-Heinz Waldmann
Mathematics Subject Classification ID: 90B05
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 3887395
zbMATH Keywords: continuous review
zbMATH Keywords: stationary regime
zbMATH Keywords: Markov renewal and semi- regenerative processes
zbMATH Keywords: unreliable machine
zbMATH Keywords: single product
zbMATH Keywords: production- inventory system
zbMATH Keywords: repair
zbMATH Keywords: asymptotic behaviour
author: Moosa Sharafali
MaRDI profile type: Publication
full work available at URL: 0167-6377(84)90026-9
OpenAlex ID: W2070259692
cites work: Q5524074
cites work: Q4109064
cites work: A Production-Inventory Control Model with a Mixture of Back-Orders and Lost-Sales
cites work: Technical Note—A One-Product Production/Inventory Problem under Continuous Review Policy
cites work: The Compensation Method Applied to a One-Product Production/Inventory Problem
cites work: Sequential Arrays of Waiting Lines
cites work: Reliability and Inventory in a Production-Storage System
cites work: Q3282332
cites work: Q4775246
cites work: On certain sojourn time problems in the theory of stochastic processes
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description: scientific article; zbMATH DE number 3887395