Title
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-MAFLGFS), and prove that the PP-MAF-LGFS scheduling policy is lex-age-optimal in the single exponential server settings. 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 function; and (iii) for the cases where different priority classes have distinct arrival traffic patterns, age penalty functions, and age penalty functionals. For example, the PPMAF-LGFS scheduling policy is lex-age-optimal for minimizing the mean peak age of a high-priority stream and the time-average age of a low-priority stream. Numerical results are provided to illustrate our theoretical findings.
Year
Venue
Keywords
2020
2020 18th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT)
Lexicographic optimality,transmission scheduling problem,status update packets,diverse priority levels,Lexicographic age optimality,lex-age-optimality,multiclass status update policies,lex-age-optimal scheduling policy,high-priority stream,optimal policies,low-priority stream,Preemptive Priority,Maximum Age First,PP-MAF-LGFS scheduling policy,age penalty function,different priority classes,age penalty functionals,PPMAF-LGFS scheduling policy,mean peak age,time-average age
DocType
ISBN
Citations 
Conference
978-1-7281-9389-2
0
PageRank 
References 
Authors
0.34
14
4
Name
Order
Citations
PageRank
Maatouk Ali100.34
Yin Sun2629.20
Anthony Ephremides32724574.40
Mohamad Assaad434648.14