Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An M/M/c queue with queueing-time dependent service rates   Recent studies indicate that in many situations service times are affected by
the experienced queueing delay of the particular customer. This effect has been
detected in different areas, such as health care, call centers and
telecommunication networks. In this paper we present a methodology to analyze a
model having this property. The specific model is an M/M/c queue in which any
customer may be tagged at her arrival time if her queueing time will be above a
certain fixed threshold. All tagged customers are then served at a given rate
that may differ from the rate used for the non-tagged customers. We show how it
is possible to model the virtual queueing time of this queueing system by a
specific Markov chain. Then, solving the corresponding balance equations, we
give a recursive solution to compute the stationary distribution, which
involves a mixture of exponential terms. Using numerical experiments, we
demonstrate that the differences in service rates can have a crucial impact on
queueing time performance.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th