Title:
Analysis of map/m/1/k ticket queue with users balking and reneging and service of no-show users
Authors:
- Chesoong Kim
- Sergei Dudin
- Alexander Dudin
- Olga Dudina
Published in:
(2023). ECMS 2023, 37th Proceedings
Edited by: Enrico Vicario, Romeo Bandinelli, Virginia Fani, Michele Mastroianni, European Council for Modelling and Simulation.
DOI: http://doi.org/10.7148/2023
ISSN: 2522-2422 (ONLINE)
ISSN: 2522-2414 (PRINT)
ISSN: 2522-2430 (CD-ROM)
ISBN: 978-3-937436-80-7
ISBN: 978-3-937436-79-1 (CD) Communications of the ECMS Volume 37, Issue 1, June 2023, Florence, Italy June 20th – June 23rd, 2023
DOI:
https://doi.org/10.7148/2023-0026
Citation format:
Chesoong kim, Sergei dudin, Alexander dudin, Olga dudina (2023). Analysis of MAP/M/1/K Ticket Queue with Users Balking and Reneging and Service of No-Show Users, ECMS 2023, Proceedings Edited by: Enrico Vicario, Romeo Bandinelli, Virginia Fani, Michele Mastroianni, European Council for Modelling and Simulation. doi:10.7148/2023-0026
Abstract:
The MAP/M/1/K type ticket queue is analysed.
Arriving users obtain a ticket for service but may balk
the system with the probability depending on the queue
of tickets ahead of him/her. Irrespective of joining or
balking, the ticket issued for the user remains in the
ticket buffer. Also, the waiting user can abandon the
system during the waiting time, but his or her ticket
remains in the buffer. Users are served in the order of
their tickets. The server is unaware about the presence
of users in the system and spends some time for his/her
service even the respective user already left the system.
Ticket queuing systems describe the wide range of real
world system. The stationary distribution of the considered system is computed. Numerical illustrations are
presented.
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