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- Title
An M/PH/1 queue with workload-dependent processing speed and vacations.
- Authors
Sakuma, Yutaka; Boxma, Onno; Phung-Duc, Tuan
- 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.
- Subjects
COMPUTER networks; ACTIVATION energy; SPEED; COST functions; ENERGY consumption; VACATIONS
- Publication
Queueing Systems, 2021, Vol 98, Issue 3/4, p373
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-021-09701-2