NDLI: The M/M/1 queue with synchronized abandonments

Content Provider	Springer Nature Link
Author	Kapodistria, Stella
Copyright Year	2011
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.For these models we carry out an extensive analysis including the stationary, the busy period and the conditional sojourn time distributions deriving exact formulas and iterative algorithmic schemes. We also obtain explicit results under various limiting regimes that demonstrate the effect of the level of synchronization on the performance of the systems.
Ending Page	109
Page Count	31
Starting Page	79
File Format	PDF
ISSN	02570130
e-ISSN	15729443
Journal	Queueing Systems
Issue Number	1
Volume Number	68
Language	English
Publisher	Springer US
Publisher Date	2011-03-31
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mean conditional sojourn time Basic q-hypergeometric series Queues and service Systems Theory, Control Impatient customers Probability Theory and Stochastic Processes Synchronization Markov chain Busy period distribution Queueing system Operations Research/Decision Theory Production/Logistics Queueing theory Computer Communication Networks Stationary distribution
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Management Science and Operations Research Computational Theory and Mathematics Computer Science Applications

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