Abstract
We consider the GIX/M/c/K queues with partial rejection or total rejection, and find an asymptotic behavior of loss probability of the GIX/M/c/K queue as K tends to infinity. The asymptotic loss probability is expressed only in terms of the roots of the characteristic equation and the boundary probabilities of the corresponding GIX/M/c queue. Numerical examples show that the asymptotic loss probability is a quite accurate approximation for the loss probability of the GIX/M/c/K queue even when the system capacity K is moderate.
Original language | English |
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Pages (from-to) | 331-356 |
Number of pages | 26 |
Journal | Performance Evaluation |
Volume | 54 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2003 Dec |
Keywords
- Asymptotic loss probability
- GI/M/c/K queue
- Partial rejection
- Total rejection
ASJC Scopus subject areas
- Software
- Modelling and Simulation
- Hardware and Architecture
- Computer Networks and Communications