Projects
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Queueing models for production systems with simultaneous resource possession
Queueing models with simultaneous resource possession provide an
adequate description for production systems where several types of
capacitities are required simultaneously. Here one can think of, e.g.,
machines and operators, or machines and pallets.
The aim is to develop methods for the analysis of these queueing
models. In particular it is investigated under which conditions these
models have a solution in the form of a single product-form, or a
(possibly infinite) sum of product-forms.
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A compensation approach for multi-dimensional Markov processes
This project is related to the one mentioned above. The aim is to
investigate for which Markov processes the compensation approach works.
It has already been shown for a class of two- and higher dimensional Markov processes
that the equilibrium distribution can be found with a compensation approach.
These processes have the property that jumps are restricted to neighbouring states.
Recently it has been established that
the compensation approach also works for Markov processes
with large (even unbounded) jumps.
The above indicates that the compensation approach works for several
classes of Markov processes. There is now a need for a more general
characterization of processes for which the approach works.
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Performance analysis of storage and retrieval systems
This project is in the area of material handling, and in particular focusses on
the performance analysis of manual
storage and retieval systems (for small items).
- Stochastic fluid flow models
These models may be used to study elements in communication networks,
like, e.g., traffic shapers (buffers at the edge of the network which
are used for spreading out data bursts). Recently a two-level traffic
shaper, i.e. a shaper which transmits traffic at two different speeds,
depending on the contents of a credit buffer, has been analysed. The
analysis is based on stochastic discretization. It is likely that this
technique has a much wider applicability.
- Milking robots and queueing networks
In this project queueing network techniques are applied for the performance
analysis of dairy barns with milking robots.