Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Polling Model with Smart Customers   In this paper we consider a single-server, cyclic polling system with
switch-over times. A distinguishing feature of the model is that the rates of
the Poisson arrival processes at the various queues depend on the server
location. For this model we study the joint queue length distribution at
polling epochs and at server's departure epochs. We also study the marginal
queue length distribution at arrival epochs, as well as at arbitrary epochs
(which is not the same in general, since we cannot use the PASTA property). A
generalised version of the distributional form of Little's law is applied to
the joint queue length distribution at customer's departure epochs in order to
find the waiting time distribution for each customer type. We also provide an
alternative, more efficient way to determine the mean queue lengths and mean
waiting times, using Mean Value Analysis. Furthermore, we show that under
certain conditions a Pseudo-Conservation Law for the total amount of work in
the system holds. Finally, typical features of the model under consideration
are demonstrated in several numerical examples.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat