A Single Server Queue with Workload-Dependent Service Speed and Vacations

In modern data centers, the trade-off between processing speed and energy consumption is an important issue. Motivated by this, we consider a queueing system in which the service speed is a function of the workload, and in which the server switches off when the system becomes empty, only to be activ...

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Bibliographic Details
Published inQueueing Theory and Network Applications pp. 112 - 127
Main Authors Sakuma, Yutaka, Boxma, Onno, Phung-Duc, Tuan
Format Book Chapter
LanguageEnglish
Published Cham Springer International Publishing 2019
SeriesLecture Notes in Computer Science
Subjects
Cost optimization
Level crossing technique
Power-saving mechanisms
Single server queue
Steady-state workload distribution
Workload-dependent service speed and vacations
Online AccessGet full text
ISBN3030271803
9783030271800
ISSN0302-9743
1611-3349
DOI10.1007/978-3-030-27181-7_8

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Summary:In modern data centers, the trade-off between processing speed and energy consumption is an important issue. Motivated by this, we consider a queueing system in which the service speed is a function of the workload, and in which 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. We use this result to choose the activation threshold such that a certain cost function, involving holding costs and activation costs, is minimized.
ISBN:3030271803
9783030271800
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-030-27181-7_8