An optimal time to sleep for an auto-sleep system considering multi-usage states |
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Institution: | Department of Information and Management Sciences University of Marketing and Distribution Sciences Kobe 651-2188, Japan |
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Abstract: | An auto-sleep system is defined by the following two properties: - 1.(i) a call for the system occurs randomly and intermittently
- 2.(ii) the system automatically goes to sleep if there occurs no call during a prespecified time T.
It considers four states: - 1.(a) sleep
- 2.(b) warm-up
- 3.(c) nonusage
- 4.(d) usage.
For such a system, the time to sleep has been discussed based on suitable criteria. This study extends the model for an auto-sleep system so that the model can deal with multi-usage states. With a view to determining an optimal time to sleep under the extended model, the expected energy consumed per unit time is formulated as a criterion to be minimized. The existence of an optimal time to sleep is examined under a general call distribution. Numerical examples are also provided for a Weibull as well as a log-normal call distribution. |
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