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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geprüft am 01.06.2024