A note on monotonicity results in multicasting

Authors:
Nico M Van Dijk
Affiliations:
School of Information and Computing Sciences, Bond University, Gold Coast, Queensland, Australia
Venue:
Operations Research Letters
Year:
1992

Citing 3
Cited 0

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Abstract

In multicast communication systems responses (acknowledgements) from all recipients are to be returned to the sender. The sender buffers these responses in a finite storage buffer for a one by one processing. When this buffer is saturated responses are lost. The mean number of successful responses per unit time is proven to be monotone in the buffersize. This result can be of practical interest to support numerical computations or to obtain qualitative insights. Extensions to other performance measures are direct. In addition, a rough error bound on the marginal value of one buffer place is derived.