Back to Search
Start Over
Asymptotic Analysis for Systems with Deferred Abandonment.
- Source :
-
Mathematics (2227-7390) . Sep2021, Vol. 9 Issue 18, p2187-2187. 1p. - Publication Year :
- 2021
-
Abstract
- This short paper concerns the analysis of the M/M/k queueing system with customer abandonment. In this system, service managers provide a finite buffer space, which is a waiting area that prevents customers from abandoning the system. Abandonment of the system can occur from reneging (exiting from the queue while waiting), and/or balking (leaving the system without waiting). We derive an analytical expression to represent the impact of the buffer space capacity on the delay probability and the abandonment probability for a system with deferred abandonment. The result indicates the provision of the buffer space in a large system could only increase the delay probability while the abandonment probability remains unchanged. Despite the benevolent intentions of service managers, providing a buffer space may exacerbate the performance of larger systems. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUEUING theory
*MARKOV processes
*PROBABILITY theory
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 152716362
- Full Text :
- https://doi.org/10.3390/math9182187