The //1 queue with synchronized abandonments

Stella Kapodistria (1)

1 Department of Statistics Actuarial-Financial Mathematics

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 // queue under the second abandonment scenario.

Mots clés: Queueing system; Impatient customers; Synchronization; Basic -hypergeometric series; Markov chain; Stationary distribution; Mean conditional sojourn time; Busy period distribution; 90B22; 60K25

Domaines: Réseaux et télécommunications [cs.NI]

Stella Kapodistria. The //1 queue with synchronized abandonments. Queueing Systems, 2011, pp.79-109. ⟨10.1007/s11134-011-9219-0⟩. ⟨hal-00806424⟩