| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10524969 | Journal of Statistical Planning and Inference | 2005 | 27 Pages |
Abstract
A new approach is used to determine the transient probability functions of the classical queueing systems: M/M/1, M/M/1/H, and M/M/1/H with catastrophes. This new solution method uses dual processes, randomization and lattice path combinatorics. The method reveals that the transient probability functions for M/M/1/H and M/M/1/H with catastrophes have the same mathematical form.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alan Krinik, Gerardo Rubino, Daniel Marcus, Randall J. Swift, Hassan Kasfy, Holly Lam,