A tandem network with MAP inputs

Authors:
Zhaotong Lian;Liming Liu
Affiliations:
Faculty of Business Administration, University of Macau, Macau SAR, China;Faculty of Business, Hong Kong Polytechnic University, Hong Hom, Kowloon, Hong Kong SAR, China
Venue:
Operations Research Letters
Year:
2008

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Abstract

This paper studies a tandem queue with MAP inputs. A novel formulation is proposed to model it into a level-dependent quasi-birth-death process with expanding blocks. This allows us to analyze the joint time-dependent and steady-state queue length distributions efficiently. We also obtain the network sojourn time of an arbitrary customer.