Departure Processes of a Tandem Network
Consider a 2-stage single-server tandem queue with a MAP to the first stage and the exponential service times. Using the DREB scheme, we formulate the joint queue length process into a single-dimensional level-dependent quasi-birth-death (LDQBD) process with expanding blocks.This allows us to show that the departure process from stage 1 is a MAP with infinite phases or IMAP and that the departure process of any IMAP/M/1 is still an IMAP.
Tandem network Level-dependent QBD Departure process IMAP
Zhaotong Lian Ning Zhao Liming Liu
Faculty of Business Administration, University of Macau, Macau SAR, China Faculty of Business, Hong Kong Polytechnic University, Hong Hom, Kowloon, Hong Kong SAR, China
国际会议
The Seventh International Symposium(ISORA08)(第七届国际效力研究及其应用学术会议)
云南丽江
英文
98-103
2008-10-31(万方平台首次上网日期,不代表论文的发表时间)