Synchronized abandonments in a single server unreliable queue

Antonis Economou and Stella Kapodistria

European Journal of Operational Research, 2010, vol. 203, issue 1, 143-155

Abstract: 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.

Keywords: Queueing; system; Unreliable; server; Catastrophes; Synchronized; abandonments; Basic; q-hypergeometric; series; Markov; chain; Stationary; distribution; Sojourn; time; Busy; period (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:203:y:2010:i:1:p:143-155

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