A service system with two stages of waiting and feedback of customers

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ID: 272531
1984
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Abstract
Customers initially enter a service unit via a waiting room. The customers to be served are stored in a service room which is replenished by the transfer of all those in the waiting room at the points in time where the service room becomes empty. At those epochs of transfer, positive random numbers of ‘overhead customers' are also added to the service room. Algorithmically tractable expressions for the stationary distributions of queue lengths and waiting times at various embedded random epochs are derived. The discussion generalizes an earlier treatment by Takács in several directions.
Reference Key
neuts1984journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Osman M. E. Ali,Marcel F. Neuts;Osman M. E. Ali;Marcel F. Neuts;
Journal journal of applied probability
Year 1984
DOI
10.2307/3213649
URL
https://sciprofiles.com/publication/view/3b19096b37db1e5d7864ef8bae823d97
Keywords
treatment feedback stored waiting served overhead tractable replenished takács queue

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