Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints

In this work, we consider the problem of jointly minimizing the average cost of sampling and transmitting status updates by users over a wireless channel subject to average Age of Information (AoI) constraints. Errors in the transmission may occur and a policy has to decide if the users sample a new...

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Main Authors: Emmanouil Fountoulakis, Marian Codreanu, Anthony Ephremides, Nikolaos Pappas
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/26/12/1018
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author Emmanouil Fountoulakis
Marian Codreanu
Anthony Ephremides
Nikolaos Pappas
author_facet Emmanouil Fountoulakis
Marian Codreanu
Anthony Ephremides
Nikolaos Pappas
author_sort Emmanouil Fountoulakis
collection DOAJ
description In this work, we consider the problem of jointly minimizing the average cost of sampling and transmitting status updates by users over a wireless channel subject to average Age of Information (AoI) constraints. Errors in the transmission may occur and a policy has to decide if the users sample a new packet or attempt to retransmission the packet sampled previously. The cost consists of both sampling and transmission costs. The sampling of a new packet after a failure imposes an additional cost on the system. We formulate a stochastic optimization problem with the average cost in the objective under average AoI constraints. To solve this problem, we propose three scheduling policies: (a) a dynamic policy, which is centralized and requires full knowledge of the state of the system and (b) two stationary randomized policies that require no knowledge of the state of the system. We utilize tools from Lyapunov optimization theory and Discrete-Time Markov Chain (DTMC) to provide the dynamic policy and the randomized ones, respectively. Simulation results show the importance of providing the option to transmit an old packet in order to minimize the total average cost.
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spelling doaj-art-dc15e02cb15b4a59bfdcb885fd0c76042024-12-27T14:24:56ZengMDPI AGEntropy1099-43002024-11-012612101810.3390/e26121018Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information ConstraintsEmmanouil Fountoulakis0Marian Codreanu1Anthony Ephremides2Nikolaos Pappas3Ericsson, 16483 Stockholm, SwedenDepartment of Science and Technology, Linköping University, 60174 Norrköping, SwedenDepartment of Electrical and Computer Engineering, University of Maryland, College Park, MD 20742, USADepartment of Computer and Information Science, Linköping University, 60174 Linköping, SwedenIn this work, we consider the problem of jointly minimizing the average cost of sampling and transmitting status updates by users over a wireless channel subject to average Age of Information (AoI) constraints. Errors in the transmission may occur and a policy has to decide if the users sample a new packet or attempt to retransmission the packet sampled previously. The cost consists of both sampling and transmission costs. The sampling of a new packet after a failure imposes an additional cost on the system. We formulate a stochastic optimization problem with the average cost in the objective under average AoI constraints. To solve this problem, we propose three scheduling policies: (a) a dynamic policy, which is centralized and requires full knowledge of the state of the system and (b) two stationary randomized policies that require no knowledge of the state of the system. We utilize tools from Lyapunov optimization theory and Discrete-Time Markov Chain (DTMC) to provide the dynamic policy and the randomized ones, respectively. Simulation results show the importance of providing the option to transmit an old packet in order to minimize the total average cost.https://www.mdpi.com/1099-4300/26/12/1018age of information (AoI)Lyapunov optimizationrandomized policiesschedulingwireless networks
spellingShingle Emmanouil Fountoulakis
Marian Codreanu
Anthony Ephremides
Nikolaos Pappas
Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
Entropy
age of information (AoI)
Lyapunov optimization
randomized policies
scheduling
wireless networks
title Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
title_full Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
title_fullStr Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
title_full_unstemmed Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
title_short Joint Sampling and Transmission Policies for Minimizing Cost Under Age of Information Constraints
title_sort joint sampling and transmission policies for minimizing cost under age of information constraints
topic age of information (AoI)
Lyapunov optimization
randomized policies
scheduling
wireless networks
url https://www.mdpi.com/1099-4300/26/12/1018
work_keys_str_mv AT emmanouilfountoulakis jointsamplingandtransmissionpoliciesforminimizingcostunderageofinformationconstraints
AT mariancodreanu jointsamplingandtransmissionpoliciesforminimizingcostunderageofinformationconstraints
AT anthonyephremides jointsamplingandtransmissionpoliciesforminimizingcostunderageofinformationconstraints
AT nikolaospappas jointsamplingandtransmissionpoliciesforminimizingcostunderageofinformationconstraints