Optimal Status Updating with a Finite-Battery Energy Harvesting Source


Bacinoglu B. T., Sun Y., UYSAL E., Mutlu V.

JOURNAL OF COMMUNICATIONS AND NETWORKS, cilt.21, sa.3, ss.280-294, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1109/jcn.2019.000033
  • Dergi Adı: JOURNAL OF COMMUNICATIONS AND NETWORKS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.280-294
  • Anahtar Kelimeler: Age of information, age-energy tradeoff, battery capacity, energy harvesting, non-linear age penalty, optimal threshold, threshold policy
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We consider an energy harvesting source equipped with a finite battery, which needs to send timely status updates to a remote destination. The timeliness of status updates is measured by a non-decreasing penalty function of the age of information (AoI). The problem is to find a policy for generating updates that achieves the lowest possible time-average expected age penalty among all online policies. We prove that one optimal solution of this problem is a monotone threshold policy, which satisfies (i) each new update is sent out only when the age is higher than a threshold and (ii) the threshold is a non-increasing function of the instantaneous battery level. Let tau(B) denote the optimal threshold corresponding to the full battery level B, and p(.) denote the age-penalty function, then we can show that p(tau(B)) is equal to the optimum objective value, i.e., the minimum achievable time-average expected age penalty. These structural properties are used to develop an algorithm to compute the optimal thresholds. Our numerical analysis indicates that the improvement in average age with added battery capacity is largest at small battery sizes; specifically, more than half the total possible reduction in age is attained when battery storage increases from one transmission's worth of energy to two. This encourages further study of status update policies for sensors with small battery storage.