THE BUSY PERIOD OF AN M/G/1 QUEUE WITH CUSTOMER IMPATIENCE
| Autor(en): | Boxma, Onno Perry, David Stadje, Wolfgang Zacks, Shelley |
Stichwörter: | Busy period; impatience; M/G/1 queue; Mathematics; Statistics & Probability; virtual waiting time | Erscheinungsdatum: | 2010 | Herausgeber: | APPLIED PROBABILITY TRUST | Journal: | JOURNAL OF APPLIED PROBABILITY | Volumen: | 47 | Ausgabe: | 1 | Startseite: | 130 | Seitenende: | 145 | Zusammenfassung: | We consider an M/G/1 queue in which an arriving customer does not enter the system whenever its virtual waiting time, i.e. the amount of work seen upon arrival, is larger than a certain random patience time. We determine the busy period distribution for various choices of the patience time distribution. The main cases under consideration are exponential patience and a discrete patience distribution. |
ISSN: | 00219002 |
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