On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems (Q2725298)
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scientific article; zbMATH DE number 1619100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems |
scientific article; zbMATH DE number 1619100 |
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On the dependence structure and bounds of correlated parallel queues and their applications to synchronized stochastic systems (English)
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12 July 2001
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parallel queueing systems
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upper and lower bounds
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stationary joint performance measure
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synchronized queueing systems
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The paper studies several widely applicable parallel queueing systems with correlated arrivals and investigates the qualitative and quantitative properties of some key performance measures in those systems. It obtains conditions on arrival process under which a performance measure in two systems can be compared, in the sense of orthant and supermodular orders, among different queues and over different arrival times. It derives a variety of upper and lower bounds for the statistics of a stationary joint performance measure. These results are applied to synchronized queueing systems.
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