Fiche du document
2017
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/doi/10.1017/S0269964816000322
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/pissn/0269-9648
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/urn/urn:nbn:ch:serval-BIB_5B57791B56B28
info:eu-repo/semantics/openAccess , Copying allowed only for non-profit organizations , https://serval.unil.ch/disclaimer
Sujets proches
Examples Exemplars Work, Method of Industry (Psychology) Method of work Theory of queues Queueing theory Erlang traffic formula Waiting-line theory Service of process Service of papers Abuse of process Process Probability Statistical inference Papers Modelmaking Modelling Model-making Molding (Clay, plaster, etc.) Clay modeling Modelling Pattern Model Equations, Differential Shape Forms (Shapes)Citer ce document
H. Albrecher et al., « A queueing model with randomized depletion of inventory », Serveur académique Lausannois, ID : 10.1017/S0269964816000322
Métriques
Partage / Export
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.
