TY - JOUR
T1 - The compensation approach applied to a 2x2 switch
AU - Boxma, O.J.
AU - Houtum, van, G.J.J.A.N.
AU - Wal, van der, J.
PY - 1993
Y1 - 1993
N2 - In this paper we analyze an asymmetric 2 × 2 buffered switch, fed by two independent Bernoulli input streams. We derive the joint equilibrium distribution of the numbers of messages waiting in the two output buffers. This joint distribution is presented explicitly, without the use of generating functions, in the form of a sum of two alternating series of product-form geometric distributions. The method used is the so-called compensation approach, developed by Adan, Wessels, and Zijm.
AB - In this paper we analyze an asymmetric 2 × 2 buffered switch, fed by two independent Bernoulli input streams. We derive the joint equilibrium distribution of the numbers of messages waiting in the two output buffers. This joint distribution is presented explicitly, without the use of generating functions, in the form of a sum of two alternating series of product-form geometric distributions. The method used is the so-called compensation approach, developed by Adan, Wessels, and Zijm.
U2 - 10.1017/S0269964800003089
DO - 10.1017/S0269964800003089
M3 - Article
SN - 0269-9648
VL - 7
SP - 471
EP - 493
JO - Probability in the Engineering and Informational Sciences
JF - Probability in the Engineering and Informational Sciences
IS - 4
ER -