paper

Age-Optimal Multi-Flow Status Updating with Errors: A Sample-Path Approach

arXiv:2310.00243

Abstract

In this paper, we study an age of information minimization problem in continuous-time and discrete-time status updating systems that involve multiple packet flows, multiple servers, and transmission errors. Four scheduling policies are proposed. We develop a unifying sample-path approach and use it to show that, when the packet generation and arrival times are synchronized across the flows, the proposed policies are (near) optimal for minimizing any time-dependent, symmetric, and non-decreasing penalty function of the ages of the flows over time in a stochastic ordering sense.

Accepted by the Journal of Communications and Networks (JCN) Special Issue. arXiv admin note: substantial text overlap with arXiv:1801.02394

Age-Optimal Multi-Flow Status Updating with Errors: A Sample-Path Approach · wovepaper