Computer simulation equivalence transformations

Equation (1.15) indicates that our ultimate focus in calculating A A is on determining the ratio Qi/Qo - or equivalently Zi/Zo - rather than on individual partition functions. On the basis of computer simulations, this can be done in several ways. One approach consists in transforming (1.16) as follows ... 

Another application of the graph model is to derive equivalence for certain parts of the model. In analysis and simulation of the model, it is often desirable to combine several components to an equivalent single component. The overall reduction of a model to a minimal system will be of great value not only for computations but also for theoretical study of essential characteristics of the system and comparison to the traditional compartment modeling. The graph model will facilitate the development of such equivalence transformations. 

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