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

✍ Scribed by Felix Papier; Ronald W. Wolff; Ulrich W. Thonemann


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
133 KB
Volume
35
Category
Article
ISSN
0167-6377

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✦ Synopsis


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 (PBB) is required.