Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 34631, 18 pages
doi:10.1155/2007/34631
Research Article

Buffer Overflow Period in a MAP Queue

Andrzej Chydzinski

 Institute of Computer Sciences, Silesian University of Technology, Akademicka 16, Gliwice 44-100, Poland
Received 27 April 2006; Revised 23 October 2006; Accepted 20 November 2006

Recommended by Nahum Shimkin

Abstract

The buffer overflow period in a queue with Markovian arrival process (MAP) and general service time distribution is investigated. The results include distribution of the overflow period in transient and stationary regimes and the distribution of the number of cells lost during the overflow interval. All theorems are illustrated via numerical calculations.