Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Modelling of Impulse Control with Random Effects for Continuous
  Markov Processes   The use of coordinate processes for the modelling of impulse control for {\em
general}\/ Markov processes typically involves the construction of a
probability measure on a countable product of copies of the path space. In
addition, admissibility of an impulse control policy requires that the random
times of the interventions be stopping times with respect to different
filtrations arising from the different component coordinate processes. When the
underlying Markov process has {\em continuous}\/ paths, however, a simpler
model can be developed which takes the single path space as its probability
space and uses the natural filtration with respect to which the intervention
times must be stopping times. Moreover, this model construction allows for
impulse control with random effects whereby the decision maker selects a
distribution of the new state. This paper gives the construction of the
probability measure on the path space for an admissible intervention policy
subject to a randomized impulse mechanism. It also identifies a class of
impulse policies under which the resulting controlled process is Markov and a
further subclass which results in a Markov family. In addition, a class of
polices is defined for which the paths between interventions are independent
and again a further subclass for which the cycles following the initial cycle
are identically distributed. A benefit of this smaller subclass of policies is
that one is allowed to use classical renewal arguments to analyze long-term
average control problems. The decision to use an $(s,S)$ ordering policy in
inventory management provides an example of an impulse policy for which the
process is Markov and has i.i.d.~cycles.

12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex