A clearing system with impatient passengers: asymptotics and estimation in a bus stop model

Autor(en): Kella, Offer
Stadje, Wolfgang 
Stichwörter: Clearing system; Computer Science; Computer Science, Interdisciplinary Applications; Impatience; M/G/infinity; Operations Research & Management Science; Pickup problem; Rate of convergence; Strongly mixing
Erscheinungsdatum: 2015
Herausgeber: SPRINGER
Journal: QUEUEING SYSTEMS
Volumen: 80
Ausgabe: 1-2
Startseite: 1
Seitenende: 14
Zusammenfassung: 
At some location buses stop to pick up the passengers waiting there and leave immediately, empty or occupied. Passenger arrival times as well as bus arrival times form independent renewal processes. Every passenger is willing to wait for a random amount of time before leaving, and every bus takes away all waiting passengers. For this pickup model, we study the distributions of the number of waiting passengers and of the individual sojourn times. The sojourn times lead to a Markov chain embedded in the superposition of the two underlying renewal arrival processes, for which we study its convergence toward stationarity.
ISSN: 02570130
DOI: 10.1007/s11134-014-9425-7

Show full item record

Page view(s)

1
Last Week
0
Last month
1
checked on Feb 21, 2024

Google ScholarTM

Check

Altmetric