### Abstract

A sensor node that is sending measurement updates regarding some physical phenomenon to a destination is considered. The sensor relies on energy harvested from nature to transmit its updates, and is equipped with a finite B-sized battery to save its harvested energy. Energy recharges the battery incrementally in units, according to a Poisson process, and one update consumes one energy unit to reach the destination. The setting is online, where the energy arrival times are revealed causally after the energy is harvested. The goal is to update the destination in a timely manner, namely, such that the long term average age of information is minimized, subject to energy causality constraints. The age of information at a given time is defined as the time spent since the latest update has reached the destination. It is shown that the optimal update policy follows a renewal structure, where the inter-update times are independent, and the time durations between any two consecutive events of submitting an update and having k units of energy remaining in the battery are independent and identically distributed for a given κ ≤ B-1. The optimal renewal policy for the case of B=2 energy units is explicitly characterized, and it is shown that it has an energy-dependent threshold structure, where the sensor updates only if the age grows above a certain threshold that is a function of the amount of energy in its battery.

Original language | English (US) |
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Title of host publication | 2018 Information Theory and Applications Workshop, ITA 2018 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

ISBN (Electronic) | 9781728101248 |

DOIs | |

State | Published - Oct 23 2018 |

Event | 2018 Information Theory and Applications Workshop, ITA 2018 - San Diego, United States Duration: Feb 11 2018 → Feb 16 2018 |

### Publication series

Name | 2018 Information Theory and Applications Workshop, ITA 2018 |
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### Other

Other | 2018 Information Theory and Applications Workshop, ITA 2018 |
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Country | United States |

City | San Diego |

Period | 2/11/18 → 2/16/18 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computer Networks and Communications
- Information Systems
- Software
- Information Systems and Management
- Theoretical Computer Science

### Cite this

*2018 Information Theory and Applications Workshop, ITA 2018*[8503180] (2018 Information Theory and Applications Workshop, ITA 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ITA.2018.8503180

}

*2018 Information Theory and Applications Workshop, ITA 2018.*, 8503180, 2018 Information Theory and Applications Workshop, ITA 2018, Institute of Electrical and Electronics Engineers Inc., 2018 Information Theory and Applications Workshop, ITA 2018, San Diego, United States, 2/11/18. https://doi.org/10.1109/ITA.2018.8503180

**Age-minimal online policies for energy harvesting sensors with incremental battery recharges.** / Arafa, Ahmed; Yang, Jing; Ulukus, Sennur; Poor, H. Vincent.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Age-minimal online policies for energy harvesting sensors with incremental battery recharges

AU - Arafa, Ahmed

AU - Yang, Jing

AU - Ulukus, Sennur

AU - Poor, H. Vincent

PY - 2018/10/23

Y1 - 2018/10/23

N2 - A sensor node that is sending measurement updates regarding some physical phenomenon to a destination is considered. The sensor relies on energy harvested from nature to transmit its updates, and is equipped with a finite B-sized battery to save its harvested energy. Energy recharges the battery incrementally in units, according to a Poisson process, and one update consumes one energy unit to reach the destination. The setting is online, where the energy arrival times are revealed causally after the energy is harvested. The goal is to update the destination in a timely manner, namely, such that the long term average age of information is minimized, subject to energy causality constraints. The age of information at a given time is defined as the time spent since the latest update has reached the destination. It is shown that the optimal update policy follows a renewal structure, where the inter-update times are independent, and the time durations between any two consecutive events of submitting an update and having k units of energy remaining in the battery are independent and identically distributed for a given κ ≤ B-1. The optimal renewal policy for the case of B=2 energy units is explicitly characterized, and it is shown that it has an energy-dependent threshold structure, where the sensor updates only if the age grows above a certain threshold that is a function of the amount of energy in its battery.

AB - A sensor node that is sending measurement updates regarding some physical phenomenon to a destination is considered. The sensor relies on energy harvested from nature to transmit its updates, and is equipped with a finite B-sized battery to save its harvested energy. Energy recharges the battery incrementally in units, according to a Poisson process, and one update consumes one energy unit to reach the destination. The setting is online, where the energy arrival times are revealed causally after the energy is harvested. The goal is to update the destination in a timely manner, namely, such that the long term average age of information is minimized, subject to energy causality constraints. The age of information at a given time is defined as the time spent since the latest update has reached the destination. It is shown that the optimal update policy follows a renewal structure, where the inter-update times are independent, and the time durations between any two consecutive events of submitting an update and having k units of energy remaining in the battery are independent and identically distributed for a given κ ≤ B-1. The optimal renewal policy for the case of B=2 energy units is explicitly characterized, and it is shown that it has an energy-dependent threshold structure, where the sensor updates only if the age grows above a certain threshold that is a function of the amount of energy in its battery.

UR - http://www.scopus.com/inward/record.url?scp=85050677838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050677838&partnerID=8YFLogxK

U2 - 10.1109/ITA.2018.8503180

DO - 10.1109/ITA.2018.8503180

M3 - Conference contribution

AN - SCOPUS:85050677838

T3 - 2018 Information Theory and Applications Workshop, ITA 2018

BT - 2018 Information Theory and Applications Workshop, ITA 2018

PB - Institute of Electrical and Electronics Engineers Inc.

ER -