Abstract
Motivated by the trade-off issue between delay performance and energy consumption in modern computer and communication systems, we consider a single-server queue with phase-type service requirements and with the following two special features: Firstly, the service speed is a piecewise constant function of the workload. Secondly, the server switches off when the system becomes empty, only to be activated again when the workload reaches a certain threshold. For this system, we obtain the steady-state workload distribution and its moments of any order. We use this result to choose the activation threshold such that a certain cost function, involving processing costs, activation costs and mean workload, is minimized.
Original language | English |
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Pages (from-to) | 373-405 |
Number of pages | 33 |
Journal | Queueing Systems |
Volume | 98 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 1 Aug 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
Keywords
- Autoscaling
- Matrix exponential solution
- Phase-type demand
- Workload-dependent service