An optimal time to sleep for an auto-sleep system

An optimal time to sleep for an auto-sleep system

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Article ID: iaor19962104
Country: United Kingdom
Volume: 23
Issue: 3
Start Page Number: 221
End Page Number: 227
Publication Date: Mar 1996
Journal: Computers and Operations Research
Authors: , ,
Keywords: control
Abstract:

This paper considers an auto-sleep system, which is a kind of intermittently-used system and which goes to sleep if no call for the system occurs for a prespecified time. Such a system can be seen when the systems aims to save energy, e.g. electric power. This study provides two models for determining and adequate time for an auto-sleep system to go to sleep. Model 1 formulates the expected energy consumed per unit time to be minimized, while Model 2 defines the energy-efficiency as an objective function to be maximized. For each model, the existence of an optimal time to sleep is examined under a general call distribution to show that there always exists a unique finite optimal time if the distribution has a decreasing failure rate. The results for a Weibull call distribution are also provided for each model along with numerical examples.

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