| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1148137 | Journal of Statistical Planning and Inference | 2010 | 14 Pages |
Abstract
We consider batch queueing systems M/MH/1M/MH/1 and MH/M/1MH/M/1 with catastrophes. The transient probability functions of these queueing systems are obtained by a Lattice Path Combinatorics approach that utilizes randomization and dual processes. Steady state distributions are also determined. Generalization to systems having batches of different sizes are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Alan Krinik, Sri Gopal Mohanty,