Convexity properties of the overflow in an ordered-entry system with heterogeneous servers (Q1820673)
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scientific article; zbMATH DE number 3995416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convexity properties of the overflow in an ordered-entry system with heterogeneous servers |
scientific article; zbMATH DE number 3995416 |
Statements
Convexity properties of the overflow in an ordered-entry system with heterogeneous servers (English)
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1986
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The GI/M/m loss system with ordered entry and heterogeneous servers is considered. The main results are the following: If the sequence of added servers have non-increasing service rates, then the overflow probabilities constitute a decreasing convex sequence. If the sequence of added servers have non-decreasing service rates, then the overflow probabilities constitute a decreasing log-concave sequence.
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overflow system
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convexity
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server allocation
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GI/M/m loss system
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ordered entry
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heterogeneous servers
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overflow probabilities
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