Scheduling to Minimize Age of Information With Multiple Sources
Finding an optimal/near-optimal scheduling algorithm to minimize the age of information (AoI) in a multi-source G/G/1 system is well-known to be a hard problem, more so if there is a transmission (energy) cost. In this paper, we consider a multi-source G/G/1 system and the goal is to minimize a weig...
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| Vydáno v: | IEEE journal on selected areas in information theory Ročník 4; s. 539 - 550 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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IEEE
2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 2641-8770, 2641-8770 |
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| Abstract | Finding an optimal/near-optimal scheduling algorithm to minimize the age of information (AoI) in a multi-source G/G/1 system is well-known to be a hard problem, more so if there is a transmission (energy) cost. In this paper, we consider a multi-source G/G/1 system and the goal is to minimize a weighted sum of the AoI of all sources, subject to an energy cost constraint. We propose a novel doubly randomized non-preemptive scheduling algorithm and show that in the non-preemptive setting, where an update under transmission cannot be preempted, the competitive ratio of the proposed algorithm is at most 3 plus the maximum of the ratio of the variance and the mean of the update inter-generation time distribution of sources. Notably, the competitive ratio is independent of the number of sources, or their service time distributions, and is at most 4 for several common update inter-generation time distributions such as exponential, uniform and Rayleigh. For preemptive setting, where an update under transmission can be preempted, we consider a multi-source G/M/1 system and show that the proposed non-preemptive algorithm has competitive ratio at most 5 plus the maximum of the ratio of the variance and the mean of the update inter-generation time distribution of sources. |
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| AbstractList | Finding an optimal/near-optimal scheduling algorithm to minimize the age of information (AoI) in a multi-source G/G/1 system is well-known to be a hard problem, more so if there is a transmission (energy) cost. In this paper, we consider a multi-source G/G/1 system and the goal is to minimize a weighted sum of the AoI of all sources, subject to an energy cost constraint. We propose a novel doubly randomized non-preemptive scheduling algorithm and show that in the non-preemptive setting, where an update under transmission cannot be preempted, the competitive ratio of the proposed algorithm is at most 3 plus the maximum of the ratio of the variance and the mean of the update inter-generation time distribution of sources. Notably, the competitive ratio is independent of the number of sources, or their service time distributions, and is at most 4 for several common update inter-generation time distributions such as exponential, uniform and Rayleigh. For preemptive setting, where an update under transmission can be preempted, we consider a multi-source G/M/1 system and show that the proposed non-preemptive algorithm has competitive ratio at most 5 plus the maximum of the ratio of the variance and the mean of the update inter-generation time distribution of sources. |
| Author | Saurav, Kumar Vaze, Rahul |
| Author_xml | – sequence: 1 givenname: Kumar orcidid: 0000-0001-8381-1228 surname: Saurav fullname: Saurav, Kumar email: kumar124103@nitp.ac.in organization: School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India – sequence: 2 givenname: Rahul orcidid: 0000-0002-9712-1110 surname: Vaze fullname: Vaze, Rahul email: rahul.vaze@gmail.com organization: School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India |
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| SubjectTerms | Age of information Algorithms competitive ratio Costs Energy costs Monitoring Optimal scheduling Preempting Scheduling Scheduling algorithms Stochastic processes Upper bound |
| Title | Scheduling to Minimize Age of Information With Multiple Sources |
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