  Classical queuing network control strategies typically rely on accurate
knowledge of model data, i.e., arrival and service rates. However, such data
are not always available and may be time-variant. To address this challenge, we
consider a class of model data-independent (MDI) control policies that only
rely on traffic state observation and network topology. Specifically, we focus
on the MDI control policies that can stabilize multi-class Markovian queuing
networks under centralized and decentralized policies. Control actions include
routing, sequencing, and holding. By expanding the routes and constructing
piecewise-linear test functions, we derive an easy-to-use criterion to check
the stability of a multi-class network under a given MDI policy. For
stabilizable multi-class networks, we show that a centralized, stabilizing MDI
policy exists. For stabilizable single-class networks, we further show that a
decentralized, stabilizing MDI policy exists. In addition, for both settings,
we construct explicit policies that attain maximal throughput and present
numerical examples to illustrate the results.
