Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/246333 
Year of Publication: 
2018
Citation: 
[Journal:] Operations Research Perspectives [ISSN:] 2214-7160 [Volume:] 5 [Publisher:] Elsevier [Place:] Amsterdam [Year:] 2018 [Pages:] 280-287
Publisher: 
Elsevier, Amsterdam
Abstract: 
The phenomenon of overtaking in queueing systems and queueing networks has been addressed by several authors with various motivations in the last decades. Nevertheless, up to now, for the relatively simple M/M/2/FCFS queue, the distribution of the number of overtakes a stationary customer suffers from was not known. In this paper, we characterize this distribution by its probability generating function. As a consequence, we derive the expectation (which is well-known) and the variance.
Subjects: 
Queueing
Overtakes
Absorbing Markov chain
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article

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