Measure-adaptive state-space construction is the process of exploiting symm
etry in high-level model and performance measure specifications to automati
cally construct reduced state-space Markov models that support the evaluati
on of the performance measure. This paper describes a new reward variable s
pecification technique, which combined with recently developed state-space
construction techniques will allow us to build tools capable of measure-ada
ptive state-space construction. That is, these tools will automatically ada
pt the size of the state space to constraints derived from the system model
and the user-specified reward variables. The work described in this paper
extends previous work in two directions. First, standard reward variable de
finitions are extended to allow symmetry in the reward variable to be ident
ified and exploited. Then, symmetric reward variables are further extended
to include the set of path-based reward variables described in earlier work
. In addition to the theory, several examples are introduced to demonstrate
these new techniques. (C) 2001 Elsevier Science B.V. All rights reserved.