The M/G/1+G queue revisited

Autor(en): Boxma, Onno
Perry, David
Stadje, Wolfgang 
Stichwörter: Balking; BUSY PERIOD; Computer Science; Computer Science, Interdisciplinary Applications; Cycle maximum; Impatience; IMPATIENT CUSTOMERS; Number of customers; Operations Research & Management Science; Reneging; RESTRICTED ACCESSIBILITY; Single-server queue; WAITING TIME; Workload
Erscheinungsdatum: 2011
Herausgeber: SPRINGER
Journal: QUEUEING SYSTEMS
Volumen: 67
Ausgabe: 3
Startseite: 207
Seitenende: 220
Zusammenfassung: 
We consider an M/G/1 queue with the following form of customer impatience: an arriving customer balks or reneges when its virtual waiting time, i.e., the amount of work seen upon arrival, is larger than a certain random patience time. We consider the number of customers in the system, the maximum workload during a busy period, and the length of a busy period. We also briefly treat the analogous model in which any customer enters the system and leaves at the end of his patience time or at the end of his virtual sojourn time, whichever occurs first.
ISSN: 02570130
DOI: 10.1007/s11134-010-9205-y

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