Title of article
On batch queueing systems: A combinatorial approach
Author/Authors
Alan Krinik، نويسنده , , Alan and Mohanty، نويسنده , , Sri Gopal Mohanty، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
14
From page
2271
To page
2284
Abstract
We consider batch queueing systems M / M H / 1 and M H / 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.
Keywords
Batch queues , catastrophes , Steady state distributions , M / M H / 1 , Single server batch queueing systems , M H / M / 1 , Transient probability functions , Randomization , Lattice path combinatorics , Dual processes
Journal title
Journal of Statistical Planning and Inference
Serial Year
2010
Journal title
Journal of Statistical Planning and Inference
Record number
2220813
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