Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lindley-type equation arising from a carousel problem   In this paper we consider a system with two carousels operated by one picker.
The items to be picked are randomly located on the carousels and the pick times
follow a phase-type distribution. The picker alternates between the two
carousels, picking one item at a time. Important performance characteristics
are the waiting time of the picker and the throughput of the two carousels. The
waiting time of the picker satisfies an equation very similar to Lindley's
equation for the waiting time in the PH/U/1 queue. Although the latter equation
has no simple solution, we show that the one for the waiting time of the picker
can be solved explicitly. Furthermore, it is well known that the mean waiting
time in the PH/U/1 queue depends on to the complete interarrival time
distribution, but numerical results show that, for the carousel system, the
mean waiting time and throughput are rather insensitive to the pick-time
distribution.

33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph