A factorization property for BMAP/G/1 vacation queues under variable service speed

• Main Authors: Baek, Jung Woo, Lee, Ho Woo, Lee, Se Won, Ahn, Soohan
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/96948; http://hdl.handle.net/10220/10385
• Institution: Nanyang Technological University

This paper proposes a simple factorization principle that can be used efficiently and effectively to derive the vector generating function of the queue length at an arbitrary time of the BMAP/G/1/ queueing systems under variable service speed. We first prove the factorization property. Then we provi...