Open problems in Gaussian fluid queueing theory

Open problems in matrix theory

We survey some open problems in matrix theory by briefly describing their history and current state. 2000 Mathematics Subject Classification: 15A15, 15A18, 15A60, 15A29, 15-02, 05B20, 05C07.

Stability of Open Multiclass Queueing Networks via Fluid Models

This paper surveys recent work on the stability of open multiclass queueing networks via fluid models. We recapitulate the stability result of Dai [8]. To facilitate study of the converse of the stability result, we distinguish between the notion of fluid limit and that of fluid solution. We define the stability region of a service discipline and the global stability region of a network. Exampl...

Algorithmic Information Theory: Open Problems

Open problems in Euclidean Ramsey Theory

Ramsey theory is a branch of combinatorics that deals with unavoidable structure in large systems. Euclidean Ramsey theory specifically looks at structure that remains when some geometric object is partitioned, and this note is a survey of some open problems in that field.

Open problems in commutative ring theory

This article consists of a collection of open problems in commutative algebra. The collection covers a wide range of topics from both Noetherian and non-Noetherian ring theory and exhibits a variety of research approaches, including the use of homological algebra, ring theoretic methods, and star and semistar operation techniques. The problems were contributed by the authors and editors of this...