Queues in tandem with customer deadlines and retrials

Queues in tandem with customer deadlines and retrials

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Article ID: iaor2013206
Volume: 73
Issue: 1
Start Page Number: 1
End Page Number: 34
Publication Date: Jan 2013
Journal: Queueing Systems
Authors: ,
Keywords: markov processes
Abstract:

We study queues in tandem with customer deadlines and retrials. We first consider a 2‐queue Markovian system with blocking at the second queue, analyze it, and derive its stability condition. We then study a non‐Markovian setting and derive the stability condition for an approximating diffusion, showing its similarity to the former condition. In the Markovian setting, we use probability generating functions and matrix analytic techniques. In the diffusion setting, we consider expectations of the first hitting times of compact sets.

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