The M/M/1 queue with synchronized abandonments |
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Authors: | Stella Kapodistria |
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Affiliation: | 1.Department of Statistics Actuarial-Financial Mathematics,University of the Aegean,Karlovassi,Greece |
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Abstract: | In this paper we present a detailed analysis of a single server Markovian queue with impatient customers. Instead of the standard assumption that customers perform independent abandonments, we consider situations where customers abandon the system simultaneously. Moreover, we distinguish two abandonment scenarios; in the first one all present customers become impatient and perform synchronized abandonments, while in the second scenario we exclude the customer in service from the abandonment procedure. Furthermore, we extend our analysis to the M/M/c queue under the second abandonment scenario. |
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