Geodesic
Blocked network of tandem queues with withdrawal
Kragujevac Journal of Mathematics, Tome 23 (2001) no. 1.

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Kragujevac J. Math. 23 (2001) 63-73. BLOCKED NETWORK OF TANDEM QUEQUES WITH WITHDRAWALAlfred Aanu Akinsete Department of Statistics, University of Transkei, Private Bag X1, Umtata. Eastern Cape Province, Republic of South Africa (Received September 9, 1999) Abstract. We consider a network of two queues in tandem with one server in the first queue, and nł1 in the second queue. Customers access the system through the first queue in accordance with Poisson input having parameter l. Holding times are exponentially distributed with independent and identical random variables having rates m1 and m2 at the first and second queues respectively. A blocking phenomenon is observed in the system with empty buffer between stages, bringing about a withdrawal effect. We obtain the state probabilities and observe that the system has no product form. 
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     author = {Alfred Aanu Akinsete},
     title = {Blocked network of tandem queues with withdrawal},
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     pages = {63 - 73},
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Alfred Aanu Akinsete. Blocked network of tandem queues with withdrawal. Kragujevac Journal of Mathematics, Tome 23 (2001) no. 1. http://geodesic.mathdoc.fr/item/KJM_2001_23_1_a7/