A queueing model with randomized depletion of inventory

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Etat: Public
Version: de l'auteur
ID Serval
serval:BIB_5B57791B56B2
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
A queueing model with randomized depletion of inventory
Périodique
Probability in the Engineering and Informational Sciences
Auteur(s)
Albrecher H., Boxma O.J., Essifi R., Kuijstermans  R.
ISSN
0269-9648
Statut éditorial
Publié
Date de publication
2017
Peer-reviewed
Oui
Volume
31
Numéro
1
Pages
43-59
Langue
anglais
Résumé
In this paper, we study an M/M/1 queue, where the server continues to work during idle periods and builds up inventory. This inventory is used for new arriving service requirements, but it is completely emptied at random epochs of a non-homogeneous Poisson process, whose rate depends on the current level of the acquired inventory. For several shapes of depletion rates, we derive differential equations for the stationary density of the workload and the inventory level and solve them explicitly. Finally, numerical illustrations are given for some particular examples, and the effects of this depletion mechanism are discussed.
Mots-clé
Applied probability, Inventory theory, Queueing theory, Stochastic modelling
Web of science
Création de la notice
29/03/2016 13:07
Dernière modification de la notice
20/08/2019 15:14
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