The compensation approach applied to a 2x2 switch

O.J. Boxma; G.J.J.A.N. Houtum, van; J. Wal, van der

doi:10.1017/S0269964800003089

The compensation approach applied to a 2x2 switch

O.J. Boxma, G.J.J.A.N. Houtum, van, J. Wal, van der

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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.

Originele taal-2	Engels
Pagina's (van-tot)	471-493
Tijdschrift	Probability in the Engineering and Informational Sciences
Volume	7
Nummer van het tijdschrift	4
DOI's	https://doi.org/10.1017/S0269964800003089
Status	Gepubliceerd - 1993

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title = "The compensation approach applied to a 2x2 switch",

abstract = "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.",

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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.

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DO - 10.1017/S0269964800003089

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The compensation approach applied to a 2x2 switch

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