Some Open Problems Related to Stability

TL;DR

This paper discusses various open problems in queueing theory related to stability and rare events, highlighting both longstanding and recent challenges without proposing specific solutions.

Contribution

It provides a curated overview of open problems in queueing theory, serving as a prospective contribution for a special issue on unresolved challenges.

Findings

Identification of longstanding open problems in stability

Highlighting recent challenges related to rare events

Encouraging further research on unresolved issues

Abstract

The paper contains a discussion on a number of open problems in queueing theory. Some of them are known for decades, some are more recent. They relate to stability and to rare events. There is an idea to prepare a special issue of QUESTA on open problems, and this text may be considered as a prospective contribution to that. The choice of open problems reflects the author's own interests, and should not be taken as suggesting that these are the only, or even most important problems!