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A tandem network with MAP inputs |
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| Authors: | Zhaotong Lian Liming Liu |
| Institution: | a Faculty of Business Administration, University of Macau, Macau SAR, China b Faculty of Business, Hong Kong Polytechnic University, Hong Hom, Kowloon, Hong Kong SAR, China |
| 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. |
| Keywords: | Tandem network QBD Level-dependent Level-expanding DREB method Network sojourn time |
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