Perishable inventory systems with variable input and demand rates

Steven Nahmias; David Perry; Wolfgang Stadje

doi:10.1007/s001860300335

Perishable inventory systems with variable input and demand rates

Steven Nahmias, David Perry, Wolfgang Stadje

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a certain class of perishable inventory systems with items and demands arriving at random times. The shelf lifetime of every item is finite and deterministic. Every demand is for a single item and is satisfied by the oldest item on the shelf, if available. Generalizing previous work, we assume that the input and/or the demand rate depend on the current value of the basic virtual outdating process (VOT). For different models of this kind we derive the steady-state distribution of the VOT and of the number of items on the shelf.

Original language	English
Pages (from-to)	155-162
Number of pages	8
Journal	Mathematical Methods of Operations Research
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s001860300335
State	Published - Sep 2004

Keywords

Inventory
Perishable
State-dependent rates
Steady-state distribution
Virtual outdating process

ASJC Scopus subject areas

Software
General Mathematics
Management Science and Operations Research

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10.1007/s001860300335

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AB - We consider a certain class of perishable inventory systems with items and demands arriving at random times. The shelf lifetime of every item is finite and deterministic. Every demand is for a single item and is satisfied by the oldest item on the shelf, if available. Generalizing previous work, we assume that the input and/or the demand rate depend on the current value of the basic virtual outdating process (VOT). For different models of this kind we derive the steady-state distribution of the VOT and of the number of items on the shelf.

KW - Inventory

KW - Perishable

KW - State-dependent rates

KW - Steady-state distribution

KW - Virtual outdating process

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ER -

Perishable inventory systems with variable input and demand rates

Abstract

Keywords

ASJC Scopus subject areas

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