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Status Updates with Priorities: Lexicographic Optimality
In: 18th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WIOPT) ; https://hal.archives-ouvertes.fr/hal-03502999 ; 18th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WIOPT), Jun 2020, Volos, Greece (2020)
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Status Updates with Priorities: Lexicographic Optimality ...
Abstract: In this paper, we consider a transmission scheduling problem, in which several streams of status update packets with diverse priority levels are sent through a shared channel to their destinations. We introduce a notion of Lexicographic age optimality, or simply lex-age-optimality, to evaluate the performance of multi-class status update policies. In particular, a lex-age-optimal scheduling policy first minimizes the Age of Information (AoI) metrics for high-priority streams, and then, within the set of optimal policies for high-priority streams, achieves the minimum AoI metrics for low-priority streams. We propose a new scheduling policy named Preemptive Priority, Maximum Age First, Last-Generated, First-Served (PP-MAF-LGFS), and prove that the PP-MAF-LGFS scheduling policy is lex-age-optimal. This result holds (i) for minimizing any time-dependent, symmetric, and non-decreasing age penalty function; (ii) for minimizing any non-decreasing functional of the stochastic process formed by the age penalty ...
Keyword: FOS Computer and information sciences; Information Theory cs.IT
URL: https://dx.doi.org/10.48550/arxiv.2002.01916
https://arxiv.org/abs/2002.01916
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Qualitative-probabilistic-network-based modeling of temporal causalities and its application to feedback loop identification
In: Information sciences. - New York, NY : Elsevier Science Inc. 178 (2008) 7, 1803-1824
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