Synchronized abandonments in a single server unreliable queue
We consider a single server unreliable queue represented by a 2-dimensional continuous-time Markov chain. At failure times, the present customers leave the system. Moreover, customers become impatient and perform synchronized abandonments, as long as the server is down. We analyze this model and derive the main performance measures using results from the basic q-hypergeometric series.
Year of publication: |
2010
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Authors: | Economou, Antonis ; Kapodistria, Stella |
Published in: |
European Journal of Operational Research. - Elsevier, ISSN 0377-2217. - Vol. 203.2010, 1, p. 143-155
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Publisher: |
Elsevier |
Keywords: | Queueing system Unreliable server Catastrophes Synchronized abandonments Basic q-hypergeometric series Markov chain Stationary distribution Sojourn time Busy period |
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