Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pathwise comparison result for parallel queues   We introduce the appropriate framework for pathwise comparison of multiple
server queues under general stationary ergodic assumptions. We show in what
sense it is better to have more servers for a system under FCFS ('First Come,
First Served') or equivalently, more queues in a system of parallel queues
under the JSW ('Join the Shortest Workload') allocation policy. This comparison
result is based on the recursive representation of Kiefer and Wolfowitz, and on
a non-mass conservative generalization of the Schur-Convex semi-ordering. We
also show that the latter result does not hold true in general, for the larger
class of systems applying the semi-cyclic allocation policy introduced by
Scheller-Wolf in \cite{SW03}.

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat