“…The average of AoI or peak AoI (an AoI-related metric introduced in [5] to capture the peak values of AoI over time) is then characterized under several queueing disciplines in a series of subsequent prior works [5]- [11]. Further, a handful of recent works aimed to characterize the distribution (or some distributional properties) of AoI/peak AoI [12]- [17]. While AoI has been extensively analyzed in single-source systems, the prior work on the analysis of AoI in multi-source systems has been fairly limited [18]- [27].…”
Section: A Related Workmentioning
confidence: 99%
“…Compared to the analyses of [31]- [34] that considered a non-EH transmitter, the analysis of AoI using the SHS approach becomes much more challenging when we consider an EH-powered transmitter. This is due to the fact that the joint evolution of the battery state at the transmitter and the system occupancy with respect to the status updates has to be incorporated in the process of decision-making (i.e., the Average of AoI/peak AoI [3], [5]- [11] [18]- [25], [28], [31]- [33] [35]- [38] This paper Distribution/distributional properties of AoI/peak AoI [12]- [17] [26], [27], [29], [34] [39] This paper decisions of discarding or serving the new arriving status updates at the transmitter). This, in turn, requires analyzing a two-dimensional continuous-time Markov chain (modeling the system discrete state that is represented by the number of energy packets in the battery and the number of status updates in the system) with new transitions associated with the events of harvested energy packet arrivals/departures, compared to the conventional one-dimensional Markov chain used in [31]- [34] to track the number of status updates in a system with a non-EH transmitter.…”
This paper considers a multi-source real-time updating system in which an energy harvesting (EH)powered transmitter node has multiple sources generating status updates about several physical processes.The status updates are then sent to a destination node where the freshness of each status update is measured in terms of Age of Information (AoI). The status updates of each source and harvested energy packets are assumed to arrive at the transmitter according to independent Poisson processes, and the service time of each status update is assumed to be exponentially distributed. Unlike most of the existing queueing-theoretic analyses of AoI that focus on characterizing its average when the transmitter has a reliable energy source and is hence not powered by EH (referred henceforth as a non-EH transmitter), our analysis is focused on understanding the distributional properties of AoI in multi-source systems through the characterization of its moment generating function (MGF). In particular, we use the stochastic hybrid systems (SHS) framework to derive closed-form expressions of the average/MGF of AoI under several queueing disciplines at the transmitter, including non-preemptive and source-agnostic/sourceaware preemptive in service strategies. The generality of our results is demonstrated by recovering several existing results as special cases.
“…The average of AoI or peak AoI (an AoI-related metric introduced in [5] to capture the peak values of AoI over time) is then characterized under several queueing disciplines in a series of subsequent prior works [5]- [11]. Further, a handful of recent works aimed to characterize the distribution (or some distributional properties) of AoI/peak AoI [12]- [17]. While AoI has been extensively analyzed in single-source systems, the prior work on the analysis of AoI in multi-source systems has been fairly limited [18]- [27].…”
Section: A Related Workmentioning
confidence: 99%
“…Compared to the analyses of [31]- [34] that considered a non-EH transmitter, the analysis of AoI using the SHS approach becomes much more challenging when we consider an EH-powered transmitter. This is due to the fact that the joint evolution of the battery state at the transmitter and the system occupancy with respect to the status updates has to be incorporated in the process of decision-making (i.e., the Average of AoI/peak AoI [3], [5]- [11] [18]- [25], [28], [31]- [33] [35]- [38] This paper Distribution/distributional properties of AoI/peak AoI [12]- [17] [26], [27], [29], [34] [39] This paper decisions of discarding or serving the new arriving status updates at the transmitter). This, in turn, requires analyzing a two-dimensional continuous-time Markov chain (modeling the system discrete state that is represented by the number of energy packets in the battery and the number of status updates in the system) with new transitions associated with the events of harvested energy packet arrivals/departures, compared to the conventional one-dimensional Markov chain used in [31]- [34] to track the number of status updates in a system with a non-EH transmitter.…”
This paper considers a multi-source real-time updating system in which an energy harvesting (EH)powered transmitter node has multiple sources generating status updates about several physical processes.The status updates are then sent to a destination node where the freshness of each status update is measured in terms of Age of Information (AoI). The status updates of each source and harvested energy packets are assumed to arrive at the transmitter according to independent Poisson processes, and the service time of each status update is assumed to be exponentially distributed. Unlike most of the existing queueing-theoretic analyses of AoI that focus on characterizing its average when the transmitter has a reliable energy source and is hence not powered by EH (referred henceforth as a non-EH transmitter), our analysis is focused on understanding the distributional properties of AoI in multi-source systems through the characterization of its moment generating function (MGF). In particular, we use the stochastic hybrid systems (SHS) framework to derive closed-form expressions of the average/MGF of AoI under several queueing disciplines at the transmitter, including non-preemptive and source-agnostic/sourceaware preemptive in service strategies. The generality of our results is demonstrated by recovering several existing results as special cases.
“…Over the past years, there is an increased interest in using AoI as a metric for evaluating real-time monitoring status update performance in different scenarios: single-hop networks (single-user [15] or multi-user [16]), multi-hop networks [17], multi-access networks [18], [19]. Also, different studies focus on using AoI in Internet of Things (IoT) scenarios for different optimization problems like power usage of low power enddevice [20]- [22].…”
Section: B Age Of Informationmentioning
confidence: 99%
“…The authors formulate the AoI optimization problem as a Markov Decision Process. In [17], a multi-hop (two-hop) network scenario is considered with multiple data flows (two data flows) that are scheduled using different priorities based on the AoI requirements. Lastly, in [19], the authors provide an AoIaware scheduling policy for 1-to-many sensor applications, based on metrics such as average AoI and average application response time.…”
“…Two age-oriented relaying protocols are devised in this work to reduce the AoI at destination, and the closed-form average AoI is derived for both protocols. The reference [21] investigates a two-hop continuous-time system where status updates are captured by both nodes, however, higher priority is considered for the packets that travel through the two-hop link to destination. Exact distributions of AoI and PAoI are derived for the nonpriority packets while tight bounds are found for the priority flow.…”
In this paper, we investigate a slotted Aloha cooperative network where a source node and a relay node send status updates of two underlying stochastic processes to a common destination. Additionally, the relay node cooperates with the source by accepting its packets for further retransmissions, where the cooperation policy comprises acceptance and relaying probabilistic policies. Exact marginal steady state distributions of the source and relay Age of Information (AoI) and Peak AoI (PAoI) sequences are obtained using Quasi-Birth-Death (QBD) Markov chain models. Extending this approach, we also obtain the joint distribution of the source and relay AoI sequences out of which one can obtain the steady state distribution of the Squared Difference of the two AoI sequences (SDAoI), which finds applications in network scenarios where not only the timeliness of status updates of each process is desired but also their simultaneity is of crucial importance. In this regard, we numerically obtain the optimal cooperation policy in order to minimize the expected value of SDAoI subject to a constraint on the average PAoI of the relay. Finally, our proposed analytical approach is verified by simulations and the performance of the optimal policy is discussed based on the numerical results.
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