an s, s production inventory controlled self-service queuing system

Clicks: 200
ID: 170700
2015
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Abstract
We consider a multiserver Markovian queuing system where each server provides service only to one customer. Arrival of customers is according to a Poisson process and whenever a customer leaves the system after getting service, that server is also removed from the system. Here the servers are considered as a standard s, S production inventory. Behavior of this system is studied using a three-dimensional QBD process. The condition for checking ergodicity and the steady state solutions are obtained using matrix analytic method. Unlike classical queuing models, the number of servers varies in this model according to an inventory policy.
Reference Key
nair2015journalan Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Anoop N. Nair;M. J. Jacob
Journal nature protocols
Year 2015
DOI
10.1155/2015/505082
URL
http://dx.doi.org/10.1155/2015/505082
Keywords
probabilities mathematical statistics

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