Abstract
Software usage models are the basis for statistical testing. They derive their structure from specifications and their probabilities from evolving knowledge about the intended use of the software product. The evolving knowledge comes from developers, customers and testers of the software system in the form of relationships that should hold among the parameters of a model. When software usage models are encoded as Markov chains, their structure can be represented by a system of linear constraints, and many of the evolving relationships among model parameters can be represented by convex constraints. Given a Markov chain usage model as a system of convex constraints, mathematical programming can be used to generate the Markov chain transition probabilities that represent a specific software usage model.
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