On exhibiting inventory systems with Erlangian lifetimes under renewal demands
type: Item
instance of: scholarly article
title: On exhibiting inventory systems with Erlangian lifetimes under renewal demands
zbMATH Open document ID: 0704.90020
DOI: 10.1007/BF00050671
author: S. Kalpakam
author: G. Arivarignan
published in: Annals of the Institute of Statistical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: A continuous review (s,S) inventory model with renewal demand is discussed with an additional complication that one item is used as an exhibiting piece with Erlang lifetime distribution. By identifying a suitable embedded Markov renewal process, expressions for the transient and limiting values of the inventory level distribution, as well as mean reorder rate, are obtained. The limiting inventory level distribution proves to be independent of the initial state and uniform. After that it is very simple to derive optimal values for the (s,S)-policy parameters. The solution for a dual model with arbitrary distribution of lifetimes and an Erlangian distribution of demand intervals is also given.
Mathematics Subject Classification ID: 90B05
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 60K30
zbMATH DE Number: 4156157
zbMATH Keywords: continuous review
zbMATH Keywords: renewal demand
zbMATH Keywords: Erlang lifetime distribution
zbMATH Keywords: Markov renewal process
zbMATH Keywords: mean reorder rate
MaRDI profile type: Publication
cites work: Q4109064
cites work: Q3677465
cites work: A continuous review inventory system with arbitrary interarrival times between demands and an exhibiting item subject to random failure
cites work: Analysis of an exhibiting inventory system
cites work: A Continous-Review (s, S) Inventory System with Arbitrary Interarrival Distribution between Unit Demand
cites work: Q4775246
cites work: Feature Article—Research Portfolio for Inventory Management and Production Planning Systems
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description: scientific article; zbMATH DE number 4156157