On the convexity of loss probabilities when arrivals occur in batches and servers are heterogeneous

On the convexity of loss probabilities when arrivals occur in batches and servers are heterogeneous

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Article ID: iaor20083451
Country: Netherlands
Volume: 35
Issue: 4
Start Page Number: 467
End Page Number: 471
Publication Date: Jul 2007
Journal: Operations Research Letters
Authors: , ,
Keywords: batch queues
Abstract:

We extend a recent article on the convexity of loss probabilities for arbitrary arrival processes with i.i.d. service times to batch arrivals with dependent service times within each batch and to heterogeneous servers. We show that what we call partial batch blocking is required.

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