New stochastic orderings for Markov processes on partially ordered spaces

  title={New stochastic orderings for Markov processes on partially ordered spaces},
  author={William A. Massey},
  journal={The 23rd IEEE Conference on Decision and Control},
The purpose of this paper is to develop a unified theory of stochastic ordering for Markov processes on partially ordered state spaces. When such a space is not totally ordered, it can induce a wide range of stochastic orderings, none of which are equivalent to sample path comparisons. Such alternative orderings can be quite useful when analyzing multi-dimensional stochastic models such as queueing networks. 
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