Two-class M/PH, G/1 queue with impatience of high-priority customers (Q2919908)
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scientific article; zbMATH DE number 6097682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-class M/PH, G/1 queue with impatience of high-priority customers |
scientific article; zbMATH DE number 6097682 |
Statements
22 October 2012
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M/PH, G/1 queue
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impatience time
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pre-emptive resume
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waiting time distribution
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queue length distribution
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Two-class M/PH, G/1 queue with impatience of high-priority customers (English)
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The authors consider the M/PH, G/1 queue with two classes of customers: the class-1 customers have deterministic impatience-time and have pre-emptive priority over class-2 customers who are assumed to be infinitely patient. The service-times of class-1 and class-2 customers have a phase-type distribution and a general distribution, respectively.NEWLINENEWLINEThe author obtains the queue-length distribution, the waiting-time distribution and the sojourn-time distribution for the class-2 customers by analyzing the busy period of class-1 customers. The author also computes the moments of the queue length and the waiting and sojourn times.
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0.8521754145622253
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0.8465105295181274
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